# Factors of 60

The factors of 60 are the numbers that divide evenly into 60. There are only four factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 itself. The prime factorization of 60 is 2 × 2 × 3 × 5, which means that 60 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 60 can be used to find the multiples of 60, which are the numbers that can be created by multiplying 60 by one of its factors.

## Factors Calculator

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Prime Numbers

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms, and are also used in the study of number theory.

Composite Numbers

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 60?

The method of calculating the factors of 60 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 60 are the factors of 60.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 60 ÷ 1 = 60

This division gives the remainder 0 and so is divisible by 60. So please put them 1 and 60 in your factor list.

1, … 60

(ii) 60 ÷ 2 = 30

This division gives the remainder 0 and so is divisible by 30. So please put them 2 and 30 in your factor list.

1, 2 … 30, 60

(iii) 60 ÷ 3 = 20

This division gives the remainder 0 and so is divisible by 20. So please put them 3 and 20 in your factor list.

1, 2, 3 … 20, 30, 60

(iv) 60 ÷ 4 = 15

This division gives the remainder 0 and so is divisible by 15. So please put them 4 and 15 in your factor list.

1, 2, 3, 4 … 15, 20, 30, 60

(iv) 60 ÷ 5 = 12

This division gives the remainder 0 and so is divisible by 12. So please put them 5 and 12 in your factor list.

1, 2, 3, 4, 5 … 12, 15, 20, 30, 60

(v) 60 ÷ 6 = 10

This division gives the remainder 0 and so is divisible by 10. So please put them 6 and 10 in your factor list.

1, 2, 3, 4, 5, 6 … 10, 12, 15, 20, 30, 60

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

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

### Factor pairs of 60

1 x 60 = 60
2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60

So, (1, 60), (2, 30), (3, 20), (4, 15), (5, 12) and (6, 10) are factor pairs of 60

### Factor pairs of -60

-1 x -60 = 60
-2 x -30 = 60
-3 x -20 = 60
-4 x -15 = 60
-5 x -12 = 60
-6 x -10 = 60

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

### Prime Factorization of 60

60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1

Therefore, 2 × 2 x 3 x 5 are Prime factorization of 60.

### Factor tree of 60

``````  60
/  \
2   30
/   \
2   15
/   \
3     5``````

### What is the factor of 60?

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

### How many factors does 60 have?

60 has 12 factors.

### What are the prime factorization of 60?

The prime factorization of 60 is 2 × 2 × 3 × 5. This means that 60 can be written as the product of two prime numbers, 2, 3 and 5.