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Question

Find the number of divisors of 3600 excluding one and itself

A
44
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B
45
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C
47
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D
43
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Solution

The correct option is D 43
If the prime factorisation of a composite number N=am×bn×co...., the number of its factors =(m+1)(n+1)(o+1)....
Prime factorisation of 3600=24×32×52
So, number of factors of 3600=(4+1)×(2+1)×(2+1)=5×3×3=45
From these factors, 1 and 3600 are factors too, so remaining number of factors 452=43

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