# Factors of 60

What are the factors of 60? These are the numbers that divide the original number 60 without leaving the remainder. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Learning these numbers is one of the important concepts in mathematics. Introducing factors of a number help kids understand the arithmetic operations and other important concepts in mathematics effectively. Hence, you can plan math activities for kids to learn factors of 60 while having fun.

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Apart from learning factors of 60, kids must learn to recognize prime and pair factors of 60. The pair factors of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10), whereas the prime factors of 60 are 22 x 3 x 5. To solve equations or problems accurately, kids must recognize and memorize factors of 60 quickly. It helps them make fast and accurate calculations. Moreover, kids can score good marks on topics related to factors of 60. Therefore, you can enhance their learning experience by conducting math games for kids. These activities help them develop problem-solving and analytical skills from an early age.

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## What are the Factors of 60?

Factors of 60 are the numbers that divide the original number 60 completely without leaving the remainder. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Though the number 60 is a composite number, it has many factors other than one and the number itself. The factors of 60 can be positive or negative numbers, but they cannot be in fraction or decimal form. The pair factors of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10) and the negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12), and (-6, -10). The prime factors of 60 are 22 x 3 x 5 that can be calculated using the division methods. To find the factors of 60, kids must learn 1 to 100 times table. They can calculate the problems within a fraction of a second with this knowledge.

## How to Find the Factors of 60?

Factors of 60 are obtained when you divide the original number 60 with the integers without leaving the remainder using the division methods. Find the method to calculate the factors of 60 given below.

60/1 = 60

60/2 = 30

60/3 = 20

60/4 = 15

60/5 = 12

60/6 = 10

60/10 = 6

60/12 = 5

60/15 = 4

60/20 = 3

60/30 = 2

60/60 = 1

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

### Pair Factors of 60

The pair of factors are multiplied with each other to get the original number. These can be positive or negative pair factors of 60. Let us see the multiplication method to find the positive pair factors of 60 given below.

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

10 x 6 = 60

12 x 5 = 60

15 x 4 = 60

20 x 3 = 60

30 x 2 = 60

60 x 1 = 60

Therefore, the pair factors of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10). When you must multiply two negative pair factors of 60, you get the positive original number. Check out the method to find the negative pair factors of 60 given below.

-1 x -60 = 60

-2 x -30 = 60

-3 x -20 = 60

-4 x -15 = 60

-5 x -12 = 60

-6 x -10 = 60

-10 x -6 = 60

-12 x -5 = 60

-15 x -4 = 60

-20 x -3 = 60

-30 x -2 = 60

-60 x -1 = 60

Therefore, the negative pair factors of 60 are (-1, -60), (-2, -30), (-3, -20), (-4, -15), (-5, -12), and (-6, -10).

## Prime Factors of 60

To find prime factors of 60, you need to use the division method. You need to divide the original number with the prime numbers until you get the quotient one. Check out the steps to find the prime factors using the prime factorization method given below.

Step 1: Divide the original number with the least prime number 2.

60/2 = 30

Step 2: Divide the number 30 with the prime number 2

30/2 = 15

Step 3: Divide the number 15 with the prime number 2

15/2 = 7.5

Step 4: Since the number 15 is not divisible by 2, you can divide the number with the prime number 3

15/3 = 5

Step 5: Divide the number 5 with the prime number 5 to get a quotient one.

5/5 = 1

Therefore, the prime factors of 60 are 2 x 2 x 3 x 5= 22 x 3 x 5.

## Solved Examples on Factors of 60

Some solved examples on factors of 60 for children are mentioned below.

Example 1: Find the common factors of 42 and 60

Solution: Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.

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

Therefore, the common factors of 42 and 60 are 1, 2, 3 and 6.

Example 2: Anna got 60 pencils for her siblings. She gave all the pencils to her 6 siblings. How many pencils did each of them receive?

Solution: Number of pencils = 60

Number of siblings = 6

Total number of pencils received by each sibling = 60/6 = 10

Therefore, the total number of pencils received by each sibling is 10.

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## Frequently Asked Questions on Factors of 60

### What are the factors of 60?

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

### What are the pair factors of 60?

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

### What are the prime factors of 60?

The prime factors of 60 are 22 x 3 x 5.