How Many Times Does 8 Go Into 60? The 25 Correct Answer

factors of 60

Factors of 60 are the pair of numbers that multiply to give the original number. In other words, we can say if a number completely divides 60, then this is the factor of it. Since 60 is a composite number, we can also derive its prime factors. Aside from 60, there are other numbers like 24, 12, 18, 12, 48, etc. that are composite in nature and have factors greater than 2. The multiples of 60 are the extended times of 60, such as 60, 120, 180, 240, 300, 360, 420, 480, 540, and so on. We can find the factors of a number using the simple multiplication method. It involves multiplying a pair of numbers to get another number, say 60. These pairs of numbers are the factors. Let’s find the pairwise factors for 60 here in this article.

Table of Contents:

What are the factors of 60?

The factors of 60 are the numbers that are multiplied in pairs to give the number 60. In other words, the numbers that divide 60 exactly are the factors of 60. The number 60 has more than two factors because it is a composite number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 Prime factorization of 60: 2 × 2 × 3 × 5 or 22 × 3 × 5

How do I find the factors of 60?

The steps to find the factors for 60 are given below:

Step 1: First write the number 60 in your exercise book.

Step 2: Find the two numbers that add up to 60 when multiplied, say 1 and 60, like 1 × 60 = 60.

Step 3: Let’s write another pair of numbers that equals 60 when multiplied, like 2 and 30, so 2 × 30 = 60.

Step 4: We know that 2 is a prime number with only two factors, ie 1 and the number itself. So we can’t factor it any further.

2 = 1 × 2

Step 5: Now we need to write another pair, e.g. 3 and 20, so 3 × 20 = 30

Here 3 is a prime number, so we can’t factor it further.

Step 6: Similarly, we can write other factors as:

4 × 15 = 60

5 × 12 = 60

6 × 10 = 60

12 × 5 = 60

Here the numbers are repeated in pairs.

Step 7: So the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Pair factors of 60

The pair factors of 60 can be positive or negative, but they cannot be decimal or fractional. The pair factor of 60 is the multiplication of two numbers, resulting in the original number 60. The following are the positive and negative pair factors of 60.

Positive pair factors out of 60:

Positive factors of 60 Positive pair factors of 60 1 × 60 (1, 60) 2 × 30 (2, 30) 3 × 20 (3, 20) 4 × 15 (4, 15) 5 × 12 (5, 12) 6 × 10 (6.10)

Negative pair factors out of 60:

Negative factors of 60 Negative pair factors of 60 -1 × -60 (-1, -60) -2 × -30 (-2, -30) -3 × -20 (-3, -20) -4 × -15 ( -4, -15) -5 × -12 (-5, -12) -6 × -10 (-6, -10)

Prime factorization of 60

The number 60 is a composite number. Now let’s find the prime factors of it.

The first step is to divide the number 60 by the smallest prime factor, i.e. 2.

60 ÷ 2 = 30

Now check whether 30 can be further divided by 2 or not.

30 ÷ 2 = 15

15 ÷ 2 = 7.5

However, factors cannot be fractional. Therefore we will continue with the next prime number which is 3.

Now if we divide 15 by 3, we get:

15 ÷ 3 = 5

Again, dividing 5 by 3 gives a fraction. Therefore, the next prime number, 5, is considered.

5 ÷ 5 = 1

We got 1 in the end and we can’t proceed any further with the division method since we know that the multiple of 1 is just 1. So the prime factorization of 60 is 2 × 2 × 3 × 5, or can be written as 22 × 3 × 5, where 2, 3, and 5 are prime.

Video lesson on prime factors

Get factors of more numbers here

examples

Example 1:

Find the common divisors of 60 and 35.

Solution:

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60

The factors of 35 are 1, 5, 7, and 35.

Therefore the common divisors of 60 and 35 are 1 and 5.

Example 2:

Find the common divisors of 60 and 59.

Solution:

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60

Factors of 59 = 1 and 59

So the common divisor of 60 and 59 is 1.

Example 3:

Find the common divisors of 60 and 30.

Solution:

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Therefore, the common divisors of 60 and 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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Using Mental Arithmetic to Multiply Mental arithmetic involves simplifying mathematical equations in your head to arrive at an exact or approximate answer. Learn the steps to solving mental multiplication problems by reducing numbers by 10’s and 100’s to simplify larger numbers.

Mental Arithmetic: Addition and Subtraction Mental arithmetic is the ability to solve math problems in your head without using a calculator. In this lesson, you will learn how to add and subtract math problems using only brain power, with an example.

Multiplication Mental Strategies: Lesson for Kids Discover multiplication mental strategies, ie techniques for simplifying multiplication to perform the calculations in your head. Discover how to expand numbers to create simpler multiplication steps, create groups of ten, and other tips.

Hint: Start the solution by considering x% of 64 as 8. Represent this in mathematical terms in the form of an equation. The left side of the equation is given by x divided by 100 multiplied by 64 and the right side of the equation is 8. Solve the equation to get the value of x, which is your answer is.

Full step-by-step answer:

Let’s start solving the above question by saying that x% of 64 equals 8.

Now we will represent this mathematically in the form of an equation. The left side of the equation is x divided by 100 and the result is multiplied by 64, while the right side of the equation is 8.

$ \dfrac{x}{100}\times 64=8 $

Now let’s take 100 and 64 to the other side of the equation. If you take the denominator to the other side, i.e. 100, it will be multiplied by the other side’s numerator, while the denominator 64, if you take it to the other side, it will be multiplied by the denominator. In doing so we get

$ x=\dfrac{8\times 100}{64} $

$ \Rightarrow x=\dfrac{100}{8}=\dfrac{25}{2}=12.5\% $

Therefore, the answer to the above question is 12.5%, i.e. H. 12.5% ​​of 64 are 8.

Note: If you have problem in interpreting the percentage problems, you can remember a little trick to convert the statement $ x\%\text{ from y units} $ replace the % sign $ \dfrac{ 1}{100 } $ , ‘of’ with a multiplication sign and the unit of your answer is ‘units’. The mathematical representation is thus \[\left( \dfrac{x}{100}\times y \right)units\] .

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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!

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80… and so on. It is a sequence in which the difference between each next number and the previous number, i.e. H. two consecutive results, is 8.

Multiples are the numbers that are products of any number multiplied by other natural numbers. There is a difference between factors and multiples that you can learn here. However, 8 is a factor of 8, and 8 is also a multiple of 8.

What are multiples of 8?

The multiples of 8 are the numbers that result when 8 is multiplied by any natural number. This means that any number that can be expressed in terms of 8n, where n is an integer, is a multiple of 8. As we know, when there are two values, p and q, we say q is a multiple of p if q = np for some integer n.

Some of the multiples of 8 include the following.

8, 16, 24, 32, ….., 72, 80, 88, ….

So, according to the definition given above, the multiple of 8 is obtained by multiplying an integer by 8.

For example, 48, 56, 64, and 96 are all multiples of 8 for the following reasons.

8 × 6 = 48 8 multiplied by 6 is 48 8 × 7 = 56 8 multiplied by 7 is 56 8 × 8 = 64 8 multiplied by 8 is 64 8 × 12 = 96 8 multiplied by 12 is 96

We can also find multiples by adding a number any number of times. For example, the first five multiples of 8 can be written as:

8 × 1 = 8

8 × 2 = 16 or 8 + 8 = 16 {here adding 8 for twice}

8 × 3 = 24 or 8 + 8 + 8 = 24 {here adding 8 for three times}

8 × 4 = 32 or 8 + 8 + 8 + 8 = 32

8 × 5 = 40 or 8 + 8 + 8 + 8 + 8 = 40

Likewise, we write several multiples of the given numbers.

What is the 5th multiple of 8?

To get the fifth multiple of 8, we need to multiply 8 by 5, or add the number five times.

Therefore, the fifth multiple of 8 is 8 x 5 = 40, or 8 + 8 + 8 + 8 + 8 = 40.

Multiples of 8 chart

Go through the table below to get the first 20 multiples of 8 along with the multiplication notation in each case.

Multiplication of 8 by numbers multiples of 8 8 × 1 8 8 × 2 16 8 × 3 24 8 × 4 32 8 × 5 40 8 × 6 48 8 × 7 56 8 × 8 64 8 × 9 72 8 × 10 80 8 × 11 88 8 × 12 96 8 × 13 104 8 × 14 112 8 × 15 120 8 × 16 128 8 × 17 136 8 × 18 144 8 × 19 152 8 × 20 160

From the table above we can say that the multiples of the number 8 are the results in the multiplication table of 8 since both are equal.

Video lesson on common multiples

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In mathematics, the multiples of 4 are the numbers that leave a remainder of 0 when divided by 4. In other words, the multiple of 4 is the product of 4 by any natural number. For example, 4 multiplied by 4 is 16, so 16 is a multiple of 4. Some of the examples of multiples of 4 are 4, 12, 20, 24, and so on. Thus, all numbers that are divisible or a product of 4 are multiples of 4. However, factors and multiples are essential concepts for students to solve many problems in their board exams as well as in competitive exams. In this article, we will discuss what are multiples of 4, list of multiples of 4 and many solved examples with full explanations.

What are the multiples of 4?

Any number that can be expressed in terms of 4n, where n is an integer, is a multiple of 4. As we know, when there are two values, p and q, we say that q is a multiple of p , when q = np for an integer n. In other words, the multiples of 4 are the numbers that leave no remainder (i.e. remainder = 0) when divided by 4.

The first 10 multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

For example, 24, 28, 32, and 36 are called multiples of 4 for the following reasons.

4 × 6 = 24 4 multiplied by 6 is 24 4 × 7 = 28 4 multiplied by 7 is 28 4 × 8 = 32 4 multiplied by 8 is 32 4 × 9 = 36 4 multiplied by 9 is 36

We can say too

24/4 = 6 and the remainder is 0

28/4 = 7 and the remainder is 0

32/4 = 8 and the remainder is 0.

36/4 = 9 and the remainder is 0.

Since the numbers are divided exactly by 4, the numbers 24, 28, 32, 36 are multiples of 4.

Multiples can also be obtained by adding a number any number of times. For example, the first five multiples of 4 can be written as:

4 × 1 = 4

4 × 2 = 8 or 4 + 4 = 8 {here adding 4 for twice}

4 × 3 = 12 or 4 + 4 + 4 = 12 {here adding 4 for three times}

4 × 4 = 16 or 4 + 4 + 4 + 4 = 16

4 × 5 = 20 or 4 + 4 + 4 + 4 + 4 = 20

In the same way we write several multiples of the given numbers.

The first 20 multiples of 4

The table below lists the first 20 multiples of 4 along with their respective multiplication notation.

Multiplication of 4 by natural numbers multiples of 4 4 × 1 4 4 × 2 8 4 × 3 12 4 × 4 16 4 × 5 20 4 × 6 24 4 × 7 28 4 × 8 32 4 × 9 36 4 × 10 40 4 × 11 44 ​​4 × 12 48 4 × 13 52 4 × 14 56 4 × 15 60 4 × 16 64 4 × 17 68 4 × 18 72 4 × 19 76 4 × 20 80

From the table above we can say that the multiples of 4 are the results in the multiplication table of 4 since both are equal.

Some interesting facts about multiples of a number are listed below:

Any multiple of a number is greater than or equal to that number.

The number of multiples of a given number is infinite.

Every number is a multiple of itself.

Video lesson on common multiples

Get multiples of more numbers here

Multiples of 4 examples

Example 1:

Find the multiples of 4 from the list of numbers 16, 22, 28, 30, 36, 41, 44.

Solution:

Given this list of numbers are 16, 22, 28, 30, 36, 41, 44.

We know that the multiples of 4 are the numbers that are exactly divisible by 4.

So the multiples of 4 are 16, 28, 36, 44.

Whereas the numbers 22, 30, 41 are not multiples of 4 as they leave a remainder.

Example 2:

What is the least common multiple of 4 and 8?

Solution:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

So the least common multiple of 4 and 8 is 8.

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Frequently asked questions about the long division of 69 by 4

1. How many times does 4 fit into 69?

17 times 4 goes into 69 and the remainder is 1.

2. What are dividend and divisor in long division of 69 by 4?

Given the number 69 divided by 4, the numerator number is known as the dividend and the denominator number is known as the divisor. So 69 is the dividend number and 4 is the divisor number.

3. How can I easily divide 69 by 4?

You can enter the given number, e.g. For example, 69 can easily be divided by 4 using our long division calculator.

Question:

What is 15 divided by 4?

division

With division we can divide assets among individuals or find out how many times one number is contained in another. For example, if you have 15 tickets to the circus and each family needs four tickets, how many families can you send to the circus?

Answer and Explanation:

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