Question

If the sum of factors for a number N (N>2) is A and the number of coprimes less than N is B. What will be the number of factors of N if A + B = 2*N and A < (3*N)/2.

Answer 1

Answer:

In order that the perfect square divides N the powers of ′a′ can be 0,2 or 4 i.e.3 Powers of ′b′ can be 0,2,i.e.2 Power of ′c′ can be 0,2,4 or 6 i.e.4

Hence a combination of these powers given 3×24 i.e.24 numbers

so there are 24 perfect squares that divides N

Step-by-step explanation:

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