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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.
1st step – Divide 60 with its smallest prime factor, which is 2
Result:- 60/2 = 30
2nd step – We need to see if 30 is further divided by 2?
Result:- 30/2 = 15
3rd 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
4th step – Divide 15 by 3
Result:- 15/3 = 5
5th 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 22 × 3 × 5
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