 # Factors Of 60

Factors of 60 are the pair of numbers which when multiplied together give the original number. Or we can say that, if any number divide 60 completely, then it is the factor of it. Also, as 60 is a composite number, we can derive the prime factors of it.  Apart from 60 there are other numbers such as 24, 12, 18, 12, 48, etc which are composite in nature and have factors more 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 by simple multiplication method. It involves multiplication of a pair of numbers to get another number, say 60. These pair of numbers are the factors. Let us find the factors in pairs for 60, here in this article.

## Factors Of 60 in Pairs

We can find the factor in pairs, by multiplying two numbers in a combination to get the result as 60. Let’s get started to find the factor pairs of 60.

1 × 60 = 60

2 × 30 = 60

3 × 20 = 60

4 × 15 = 60

5 × 12 = 60

6 × 10 = 60

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

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

### Prime Factorisation of 60

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

• The first step is to divide the number 60 with 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

But, factors cannot be a fraction. Therefore, we will proceed to the next prime number,

which is 3.

• Now, dividing 15 by 3 we get,

15 ÷ 3 = 5

• Again, dividing 5 by 3 will give a fraction number. Therefore, taking the next prime number, 5, into consideration.

5 ÷ 5 = 1

• We have received 1 at the end and further, we cannot proceed with the division method, as we know the multiple of 1 is 1, only. So, the prime factorisation of 60 are 2 × 2 × 3 × 5 or it could be written as, 22 × 3 × 5. where 2, 3 and 5 are prime numbers.

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