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Find the number of factors of 60.
Question

Find the number of factors of 60.

A.

14

B.

10

C.

15

D.

12

Correct option is D

Given
Number = 60

Solution
Prime factorization of 60 = 22×31×51 2^2 \times 3^1 \times 5^1​​
Number of factors = (power of 2 + 1)(power of 3 + 1)(power of 5 + 1)
Factors = (2+1)(1+1)(1+1)=3×2×2=12 (2 + 1)(1 + 1)(1 + 1) = 3 \times 2 \times 2 = 12​​

Final Answer
So the correct answer is (d)

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