How Many Times Does 3 Go Into 72? Top Answer Update

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Division ‘÷’ | Basics of Arithmetic See also: Fractions

This page covers the basics of division (÷).

See our other arithmetic pages for discussions and examples of: addition (+), subtraction (-), and multiplication (×).

division

The usual notation for division is (÷). In spreadsheets and other computer applications, the symbol “/” (slash) is used.

Division is the opposite of multiplication in mathematics.

Division is often considered the most difficult of the four main arithmetic functions. This page explains how division calculations are performed. Once we have a good understanding of the method and the rules, we can use a calculator for more tricky calculations without making mistakes.

Division allows us to divide, or “divide,” numbers to find an answer. For example, consider how we would find the answer to 10 ÷ 2 (ten divided by two). This is the same as “sharing” 10 candies between 2 children. Both children must end up with the same number of sweets. In this example, the answer is 5.

Some quick rules about division: When you divide 0 by any other number, the answer is always 0. For example: 0 ÷ 2 = 0. That’s 0 candy divided equally between 2 children – each child gets 0 candy .

When you divide a number by 0, you don’t divide at all (that’s quite a problem in math). 2 ÷ 0 is not possible. You have 2 candies but no children to divide them among. You cannot divide by 0.

If you divide by 1, the result is the same as the number you divided. 2 ÷ 1 = 2. Two candies shared by one child.

When you divide by 2, you halve the number. 2 ÷ 2 = 1.

Each number divided by the same number is 1. 20 ÷ 20 = 1. Twenty candies divided by twenty children – each child gets one candy.

Numbers must be divided in the correct order. 10 ÷ 2 = 5, while 2 ÷ 10 = 0.2. Ten candies divided by two children is very different than 2 candies divided by 10 children.

All fractions like ½, ¼ and ¾ are sums of divisions. ½ is 1 ÷ 2. A candy shared by two children. See our Fractions page for more information.

Multiple Subtractions

Just as multiplication is a quick way to do multiple additions, division is a quick way to do multiple subtractions.

For example:

If John has 10 gallons of fuel in his car and uses 2 gallons a day, how many days before he runs out?

We can solve this problem by performing a series of subtractions or counting backwards by twos.

On Day 1, John starts with 10 gallons and ends with 8 gallons. 10 – 2 = 8

John starts with gallons and ends with gallons. On Day 2, John starts with 8 gallons and ends with 6 gallons. 8 – 2 = 6

John starts with gallons and ends with gallons. On Day 3, John starts with 6 gallons and ends with 4 gallons. 6 – 2 = 4

John starts with gallons and ends with gallons. On Day 4, John starts with 4 gallons and ends with 2 gallons. 4 – 2 = 2

John starts with gallons and ends with gallons. On day 5, John starts with 2 gallons and ends with 0 gallons. 2 – 2 = 0

John runs out of fuel on day 5.

A faster way to do this calculation would be to divide 10 by 2. That is, how many times does 2 go in 10, or how many lots of two gallons are in ten gallons? 10 ÷ 2 = 5.

The multiplication table (see Multiplication) can be used to find the answer to simple division calculations.

In the example above, we needed to calculate 10 ÷ 2. To do this, use the multiplication table to find the column for 2 (the red-shaded heading). Work down the column until you find the number you are looking for, 10. Move left across the row to see the answer (the red shaded heading) 5.

Multiplication tables × 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 42 48 54 60 7 7 14 21 28 35 42 49 56 6 6 8 4 20 3.4 368 4 7 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100

We can do other simple division calculations using the same method. 56 ÷ 8 = 7 for example. Find 7 in the top row, look down the column until you find 56, and then find the corresponding row number, 8.

If possible, try to memorize the multiplication table above, as it makes solving simple multiplication and division much faster.

Division of larger numbers

You can use a calculator to do division calculations, especially when dividing larger numbers that are more difficult to calculate mentally. However, it is important to understand how pitch calculations are performed manually. This is useful if you don’t have a calculator handy, but also important to ensure you are using the calculator correctly and not making any mistakes. Division may look daunting, but in fact, like most arithmetic, it is logical.

As with any math, it’s easiest to understand if we work through an example:

Dave’s car needs new tires. He needs to replace all four tires on the car, plus the spare tire.

Dave received a £480 offer from a local garage which includes the tyres, fitting and disposal of the old tyres. How much does each tire cost?

The problem we need to calculate here is 480 ÷ 5. Is that the same as saying how many times does 5 go into 480?

We usually write this as follows:

5 4 8 0

We work from left to right in a logical system.

We start by dividing 4 by 5 and immediately run into a problem. 4 cannot be divided by 5 to get an integer because 5 is greater than 4.

The language we use in math can be confusing. Another way of looking at it is to say, “How many times does 5 turn into 4?”. We know that 2 fits into 4 twice (4 ÷ 2 = 2) and we know that 1 fits into 4 four times (4 ÷ 1 = 4), but 5 doesn’t fit into 4 because 5 is greater than 4. The number we are dividing by (in this case 5) must be an integer of the number we are dividing by (in this case 4). It doesn’t have to be an exact integer, as you will see.

Since 5 doesn’t fit in 4, we put a 0 in the first (hundreds) column. For help with the hundreds, tens, and ones columns, see our page on numbers.

hundreds tens units 0 5 4 8 0

Next we move to the right to include the tens column. Now we can see how many times 5 goes into 48.

5 goes into 48 because 48 is greater than 5. However, we need to find out how often it goes.

If we refer to our multiplication table, we can see that 9 × 5 = 45 and 10 × 5 = 50.

48, the number you’re looking for, lies between these two values. Remember, we’re interested in how many times 5 goes into 48. Ten times is too much.

We can see that 5 fits an integer (9) times into 48, but not exactly, leaving 3.

9 × 5 = 45

48 – 45 = 3

We can now say that 5 goes into 48 nine times, but with a remainder of 3. The remainder is what’s left when we subtract the number we found from the number we’re dividing by: 48 – 45 = 3

So 5 × 9 = 45 + 3 equals 48.

We can enter 9 in the tens column as the answer for the second part of the calculation and put our remainder before our last number in the ones column. Our last number will be 30.

hundreds tens units 0 9 5 4 8 30

We now divide 30 by 5 (or find out how many times 5 goes into 30). Using our multiplication table, we can see that the answer is exactly 6, with no remainder. 5 × 6 = 30. We write 6 in the units column of our answer.

hundreds tens units 0 9 6 5 4 8 30

Since there are no remainders, we have finished the calculation and get the answer 96.

Dave’s new tires are £96 each. 480 ÷ 5 = 96 and 96 × 5 = 480.

recipe department

Our last splitting example is based on a recipe. When cooking, recipes often tell you how much food they will make, enough to feed 6 people for example.

The following ingredients are needed to make 24 fairy cakes, however we only want to make 8 fairy cakes. For this example we have slightly modified the ingredients (original recipe at: BBC Food).

The first thing we need to determine is how many eights are in 24 – use the multiplication table above or your memory. 3 × 8 = 24 – if we divide 24 by 8 we get 3. Therefore we need to divide each ingredient below by 3 to have the right amount of mixture to make 8 fairy cakes.

ingredients

120 g butter, softened at room temperature

120g powdered sugar

3 free range eggs, lightly beaten

1 tsp vanilla extract

120 g self-raising flour

1-2 tbsp milk

The amount of butter, sugar and flour is the same, 120 g. It is therefore only necessary to calculate 120 ÷ 3 once, since the answer for these three ingredients is the same.

3 1 2 0

As before, we start in the left column (hundreds) and divide 1 by 3. However, 3 ÷ 1 doesn’t work since 3 is greater than 1. Next we look at how many times 3 goes into 12 takes, we can see that 3 goes into 12 exactly 4 times with no remainder.

0 4 0 3 1 2 0

So 120g ÷ 3 is 40g. We now know that we need 40g of butter, sugar and flour.

The original recipe calls for 3 eggs and again we divide by 3. So 3 ÷ 3 = 1, so one egg is needed.

Next, the recipe calls for 1 tsp (teaspoon) of vanilla extract. We need to divide a teaspoon by 3. We know that division can be written as a fraction, so 1 ÷ 3 is the same as ⅓ (one third). You will need ⅓ teaspoon of vanilla extract – although in reality it can be difficult to measure ⅓ teaspoon accurately!

Estimating can be useful, and units can be changed! We can also see it differently if we know that a teaspoon corresponds to 5 ml or 5 milliliters. (If you need help with units, see our page on systems of measurement.) If we want to be more specific, we can try dividing 5mL by 3. 3 goes once into 5(3), leaving 2. 2 ÷ 3 is the same as ⅔, so 5 ml divided by 3 is 1⅔ ml, which in decimal is 1.666 ml. We can use our guessing skills and say that one teaspoon divided by three is just over a ml and a half. If you have a few of those tiny measuring spoons in your kitchen, you can be super accurate! We can guess the answer to check if we are right. Three batches of 1.5ml make 4.5ml. So three batches of “just over 1.5ml” make about 5ml. Recipes are rarely an exact science, so a little guessing can be fun and good practice for be our mental arithmetic.

Next, the recipe calls for 1-2 tablespoons of milk. That’s between 1 and 2 tablespoons of milk. We don’t have a definitive amount and how much milk you add will depend on your mix consistency.

We already know that 1 ÷ 3 ⅓ and 2 ÷ 3 ⅔. So we need ⅓–⅔ of a tablespoon of milk to make eight fairy cakes. Let’s take a different look. A tablespoon equals 15 ml. 15 ÷ 3 = 5, so ⅓–⅔ of a tablespoon equals 5–10 ml, which equals 1–2 teaspoons!

Multiplication table by 5

Repeatedly adding 5’s means the multiplication table of 5.

(i) For 6 bowls with five fruits each.

By repeated addition we can show 5 + 5 + 5 + 5 + 5 + 5 = 30

Then five 6 times or 6 fives

6 × 5 = 30

Therefore, there are 30 fruits.

(ii) For 9 baskets of 5 shirts each.

By repeated addition we can show 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45

Then five 9 times or 9 fives

9 × 5 = 45

Therefore there are 45 shirts.

We will learn how to use the number line to count the multiplication tables of 5.

(i) Start at 0. Hop 5, four times. stop at 8pm

4 fives is 20 4 × 5 = 20

(ii) Start at 0. Hop 5, seven times.

Stop at ____. So it will be 35

7 fives is 35 7 × 5 = 35

(iii) Start at 0. Hop 5, twelve times.

Stop at ____. So it will be 60

12 fives is 60 12 × 5 = 60

How do you read and write the table of 5?

The table above helps us to read and write the 5-series.

Reading 1 five is 5 2 fives are 10 3 fives are 15 4 fives are 20 5 fives are 25 6 fives are 30 7 fives are 35 8 fives are 40 9 fives are 45 10 fives are 50 11 fives are 55 12 fives are 60 write 1 × 5 = 5 2 × 5 = 10 3 × 5 = 15 4 × 5 = 20 5 × 5 = 25 6 × 5 = 30 7 × 5 = 35 8 × 5 = 40 9 × 5 = 45 10 × 5 = 50 11 × 5 = 55 12 × 5 = 60

Now let’s learn how to count forwards and backwards in increments of 5.

Count up in increments of 5: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, ……

Count backwards in steps of 5: ……, 120, 115, 110, 105, 100, 95, 90, 85, 80, 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20 , 15, 10, 5, 0.

multiplication table

From the multiplication table from 5 to the HOMEPAGE

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First things first: a factor is a number that divides one number at a time without producing a remainder. For example, if we multiply 2 by 3, the result is 6. So if we divide 6 by 3, we get 2, and if we divide 6 by 3, we get 2. This means that 2 and 3 are the factors of 6 … Well, what are the factors of 72? Well, factors of 72 are the numbers that when multiplied in a pair of twos return the result as 72. Therefore, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the factors of 72.

How do I find the factors of 72?

To see what the true factors of 72 are, let’s divide 72 by all the numbers from 1 to 72.

72 ÷ 1 = 72 72 ÷ 11 = 6.5 72 ÷ 21 = 3.42 72 ÷ 31 = 232 72 ÷ 2 = 36 72 ÷ 12 = 6 72 ÷ 22 = 3.27 72 ÷ 32 = 225 72 ÷ 3 = 24 72 ÷ 13 = 5.53 72 ÷ 23 = 3.13 72 ÷ 33 = 218 72 ÷ 4 = 14 72 ÷ 14 = 5.14 72 ÷ 24 = 3 72 ÷ 34 = 211 72 ÷ 5 = 14.4 72 ÷ 15 = 4.8 72 ÷ 25 = 2.88 72 ÷ 5 72 ÷ 6 = 12 72 ÷ 16 = 4.5 72 ÷ 26 = 2.7 72 ÷ 36 = 2 72 ÷ 7 = 10.2 72 ÷ 17 = 4.2 72 ÷ 27 = 2.6 72 ÷ 37 = 1.9 72 ÷ 8 = 9 72 ÷ 18 = 4 72 ÷ 28 = 2.5 72 ÷ 38 = 1.8 72 ÷ 9 = 8 72 ÷ 19 = 3.7 72 ÷ 29 = 2.48 72 ÷ 39 = 1.8 72 ÷ 10 = 7.2 72 ÷ 20 = 3.6 72 ÷ 30 = 2.4 72 ÷ 40 = 1.8

72 ÷ 41 = 1.7 72 ÷ 51 = 1.41 72 ÷ 61 = 1.18 72 ÷ 71 = 1.01 72 ÷ 42 = 1.71 72 ÷ 52 = 1.38 72 ÷ 62 = 1.16 72 ÷ 72 = 1 72 ÷ 43 = 1.67 72 ÷ 72 = 1 72 ÷ 43 = 1.67 72 ÷ 33 72 ÷ 63 = 1.14

72 ÷ 44 = 1.63 72 ÷ 54= 1.33 72 ÷ 64 = 1.12 72 ÷ 45 = 1.6 72 ÷ 55 = 1.30 72 ÷ 65 = 1.10 72 ÷ 46 = 1.56 72 ÷ 56 = 1.28 72 ÷ 66 = 2 ÷ .37 72 ÷ 57 = 1.26 72 ÷ 67 = 1.07 72 ÷ 48 = 1.5 72 ÷ 58 = 1.24 72 ÷ 68 = 1.05 72 ÷ 49 = 1.46 72 ÷ 59 = 1.22 72 ÷ 69 = 1.04 72 ÷ 50 = 1.44 ÷ 0.6 72 ÷ 70 = 1.02

Therefore, we conclude that the factors we reported were true and the only factors out of 72. So there are a total of 12 factors out of 72.

Pair factors of 72

Pair factors are the combinations of any two factors multiplied together to give 72 as the product. Here we see all the positive pair factors of 72.

1 \[\times\] 72 = 72 therefore 1 and 72 are a factor pair of 72 2 \[\times\] 36 = 72 therefore 2 and 36 are a factor pair of 72 3 \[\times\] 24 = 72 so are 3 and 24 are a factor pair of 72 4 \[\times\] 18 = 72 so 4 and 18 are a factor pair of 72 6 \[\times\] 12 = 72 so 6 and 12 are a factor pair of 72 8 \[\times \] 9 = 72 therefore 8 and 9 are a factor pair of 72 9 \[\times\] 8 = 72 therefore 9 and 8 are a factor pair of 72 12 \[ \times\] 6 = 72 so 12 and 6 are one Factor pair of 72 18 \[\times\] 4 = 72 i.e., 18 and 4 are a factor pair of 72 24 \[\times\] 3 = 72 i.e. 24 and 3 are a factor pair of 72 36 \[\times\] 2 = 72 therefore 36 and 2 are a factor pair of 72 72 \[\times\] 1 = 72 therefore 72 and 1 are a factor pair of 72

Solved examples

Example 1) Find the factors of the following numbers:

i) 87

ii) 162

iii) 52

iv) 72

v) 198

Solution 1) Let’s find the factors of the following numbers:

i) Factors of 87 are:

3 87 29 29

1

ii) Factors of 162 are:

2 162 3 81 3 27 3 9 3 3

1

iii) Factors of 52 are:

2 52 2 26 13 13

1

iv) Factors of 72 are:

2 72 2 36 2 18 3 9 3 3

1

v) Factors of 198 are:

2 198 3 99 3 33 11 11

1

Example 2) Find the factors of the following:

i) 124

ii) 72

iii) 66

iv) 57

v) 180

Solution 2) Find the factors of the following numbers:

i) The factors of 124 are:

2 124 2 62 31 31

1

ii) Factors of 72 are:

2 72 2 36 2 18 3 9 3 3

1

iii) Factors of 66 are:

3 66 2 22 11 11

1

iv) Factors of 57 are:

3 57 19 19

1

v) Factors of 180 are:

2 180 2 90 5 45 7 7

1

What are the different methods of calculating factors of 72?

There are two methods to calculate the factors of 72. Both methods are fairly easy to understand. Here is a brief overview of these factorization methods:

Division Method: To calculate the factors of 72 using the division method, you need to use the numbers that can divide 72 with no remainder. Here are the factors of 72 using the division method:

72 ÷ 1 = 72

72 ÷ 2 = 36

72 ÷ 3 = 24

72 ÷ 4 = 18

72 ÷ 6 = 12

72 ÷ 8 = 9

72 ÷ 9 = 8

72 ÷ 12 = 6

72 ÷ 18 = 4

72 ÷ 24 = 3

72 ÷ 36 = 2

72 ÷ 72 = 1

Prime Factorization Method: This method requires you to express 72 as the product of its prime factors. Start by dividing 72 by the smallest prime number, i.e. H. 2, which equals 36. Then divide 72 by 3 to get 36. And keep doing this until you get 1 as the quotient. So the prime factors of 72 are 2 \[\times\] 2 \[\times\] 2 \[\times\] 3 \[\times\] 3.

Tips for finding the factors of 72 – pair factors and solved examples

Factors and multiples are important concepts in mathematics. Therefore, you need to know how best to solve the questions related to these topics. Here are some tips and tricks for finding the factors of 72 and other numbers as well:

Factors of 72 in pairs

The factor pairs of 72 are all the different combinations of two factors of 72 that you multiply together to get 72. It’s a two-step process to create all the factor pairs of 72: First, we list all the factors of 72. Then , we pair all the different combinations of factors to give you all factor pairs of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. All the different pair combinations from the above factors of 72 are the factor pairs of 72. Below is the list of all Factor pairs of 72. As you can see, all factor pairs of 72 add up to 72 when you multiply them together. 1 x 72 = 722 x 36 = 723 x 24 = 724 x 18 = 726 x 12 = 728 x 9 = 729 x 8 = 7212 x 6 = 7218 x 4 = 7224 x 3 = 7236 x 2 = 7272 x 1 = 72 Need the factor pairs for a different number? No problem! Enter a different number here to get all factor pairs for it. Factors of 72 in pairs aren’t the only problem we’ve solved. Learn more about the next number on our list here! See Factors of 72 for more information

Question:

What is 72 divided by 9?

Division of whole numbers:

There are several ways to divide whole numbers. One way to do this is to use a rule relating division and multiplication that says if a ÷ b = c, then a = c × b. We can use this rule and a little logic to find 72 divided by 9.

Answer and Explanation:

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How many times can you subtract 7 from 56?

Once

8 times

infinity

out

“How many times can you subtract 7 from 56?” is a tricky question. We believe there are three different answers to this question. It’s once because once you subtract 7 from 56, you’re left with 49. So you can’t subtract 7 from 56.8 again, because 56 divided by 7 is 8. After you’ve subtracted 7.8 times from 56, there’s nothing left to subtract. There’s nothing that says you can’t subtract 7 from 56 indefinitely. Just because you end up with negative numbers doesn’t mean you have to stop subtracting! Enter a similar problem here: Based on our answer to “How many times can you subtract 7 from 56?” You probably know the answer to the next problem on our list. Find out if you were right here!

Division Lesson for Kids: Definition & Method Learn about the mathematical operation called division. Discover the parts of a division problem and how division separates groups of objects into smaller, equal groups of objects. Finally, examine how to perform division with hop count and subtraction.

How to add two numbers with up to three digits When you add two numbers, the result can be large enough to contain more digits than the original numbers. Learn the steps for adding numbers to get a larger sum and how to align the addends to master addition through practice examples.

Solving Division Word Problems When solving a division word problem, it’s important to find the dividend and divisor among the other words. Learn how to solve word problems with and without remainders, remembering that the larger number isn’t always the dividend.

IM comment

This activity explores divisibility properties for the numbers 3, 6, and 7. Students first create a list of multiples of 3, and then explore this list further by looking for multiples of 6 and 7. Also, noting that every other multiple of 3 is a multiple of 6, students see that since 3 is a factor of 6, all multiples of 6 are also multiples of 3. Since the list of multiples of 3 is only long enough to show a multiple of 7, students must either continue down the list or generalize based on their observations from part (b). Unlike 6, there is no factor of 3 in 7 and therefore not every multiple of 7 has a factor of 3: to be a multiple of both 3 and 7, a number must be a multiple of 21.

An important difference in the multiples of 6 and 7 that appear in the multiples of 3 list is that any multiple of 6 is also a multiple of 3. So 6, 12, 18, $\ldots$ all appear in the list of multiples of 3. Since 3 is not a factor of 7, not every multiple of 7 appears in the list of multiples of 3. The teacher may wish to instruct or ask students about this key difference in multiples of 6 and 7, which are also multiples of 3. The first solution also relates to the fact that an odd number multiplied by an odd number is odd, and the teacher may wish to elaborate on this as this is another good example of a pattern illustrated by 4.OA.5.

The Standards for Mathematics Practice focus on the nature of learning experiences by addressing the thought processes and habits of thought that students must develop in order to gain a deep and flexible understanding of mathematics. Certain tasks lend themselves to students demonstrating specific practices. The practices observable during exploration of a task depend on how the lesson unfolds in the classroom. While it is possible for tasks to be associated with multiple practices, only one practice connection will be discussed in detail. Possible secondary practice connections can be discussed, but not in the same level of detail.

This specific task helps illustrate Mathematical Practice Standard 8, Finding and Expressing Regularity in Repetitive Thinking. Fourth graders create their list using multiples of 3. Then they look for patterns and connections to the multiples of 6 and 7 as indicated in the comment. Â They intentionally look for patterns/similarities, make assumptions about those patterns/similarities, consider generalities and limitations, and make connections to their ideas (MP.8). Â Students notice the repetition of patterns to better understand the relationships between multiples of 3 and multiples of 6. Then they can compare this relationship to the relationship between multiples of 3 and multiples of 7 and consider the differences between the two sets of multiples. By examining the repeated multiples, students can make guesses and begin to make generalizations. Â As they begin to explain each other’s processes, they construct, criticize, and compare arguments (MP.3). Students would benefit if they had access to $\frac14$ worth of graph paper and crayons for this activity. The first solution shows some images that students could easily create using these tools.

What three numbers do you multiply to get 81?

What three numbers do you multiply to get 81? In other words, you want to know all combinations of 3 numbers that can be multiplied to get 81. You want to know what all the question marks in the following equation can be for the equation to be true:? × ? × ? = 81 First, note that all numbers must be 81 or less, which means there are 81 × 81 × 81 possible solutions. So to get the answer to “Multiply which three numbers to get 81?” We looked at 531,441 different combinations to see which equals 81. When we looked at all these combinations, we found 15 different combinations of 3 numbers that add up to 81 when multiplied together. Here are all 3 combinations of numbers that you can multiply by 81:81 × 1 × 1 = 8127 × 3 × 1 = 8127 × 1 × 3 = 819 × 9 × 1 = 819 × 3 × 3 = 819 × 1 × 9 = to get 813 × 27 × 1 = 813 × 9 × 3 = 813 × 3 × 9 = 813 × 1 × 27 = 811 × 81 × 1 = 811 × 27 × 3 = 811 × 9 × 9 = 811 × 3 × 27 = 811 × 1 × 81 = 81 Need another combination of three numbers that multiply to a number other than 81? No problem! Please enter your number here. Here’s the next issue on our list that we’ve explained and answered for you.

It’s important to understand what two-thirds actually means…

Working with “thirds” means you started with a number or a quantity of something (like candy) and divided it into THREE EQUAL parts, each part being “one-third” of the original quantity.

#1/3# of 12 means #12 div 3 = 4″ “rarr 4 + 4+ 4 = 12#

#1/3# of 30 means #30 div 3 = 10” “rarr 10+10+10=30#

#1/3# of 15 means #15 div 3 = 5” “rarr 5+5+5=15#

Well, to find “two thirds” simply means to use 2 of the parts.

(SO, divide by 3 then multiply by 2)

#2/3# of 12 means: #12 div 3 xx 2 = 4xx 2 = 8#

#2/3# of 30 means: #30 div 3 xx 2= 10xx2 = 20#

#2/3# of 15 means: #15 div 3 xx2= 5xx2#

So for a number, let’s call it #n,# this can be written as:

#2/3 xx n, ” or ” (2xxn)/3″ or “ndiv3xx2” or “nxx2div3#

It doesn’t matter if you multiply or divide first.

Dividing first makes the numbers smaller and easier to work with.

Find #2/3# of #63# . Compare the numbers:

#63 div 3xx2=21xx2=42#

and