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As we know that 60 is a whole number and a composite number (divisible by more than 2 numbers). Let us find the prime factors of 60 by the following method.

**1**^{st} **step – Divide 60 with its smallest prime factor, which is 2**

Result:- 60/2 = 30

**2**^{nd} **step – We need to see if 30 is further divided by 2? **

Result:- 30/2 = 15

**3**^{rd} **step – Check if 15 is further divisible by 2 **

Result:- 15/2 = 7.5

Things to remember – Prime factors cannot be in decimal or fractions. It should be a whole number. So, we proceed to the next prime number i.e., 3

**4**^{th}** step – Divide 15 by 3 **

Result:- 15/3 = 5

**5**^{th} **step – Now, we know that prime factor should be in whole number. So, if we divide 5 by 3, it will give us a decimal or fraction. So again, we take the next prime number which is 5 **

Result:- 5/5 = 1

Now, we just got 1 at last. We cannot divide and calculate prime factors further because multiple of 1 is 1

Thus, the Prime Factorisation of 60 = 2 × 2 × 3 × 5 or 2^{2} × 3 × 5

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