Hi, can someone give an explanation for this answer please? Won’t they give the same answer since to find the number of factors, we raise the powers of the prime divisors by 1 and then multiply them. So in this case, we can ignore n since it’s the same for both, and raising the powers of 2 and 3 by 1 and multiplying, we get 2*2=4.

You can’t

Hint: try n = 16.

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Hi, The number of factors will depend solely on the number, like if we take number 12, for 2n , it will be 24= 2^3 \times 3 → number of factors= 4\times2=8

For 3n, it will be 36=2^2 \times 3^2 = 3\times3=9

But for number 15, 2n=3\times5\times2, number of factors=2\times2\times2=8

3n=3^2 \times 5, number of factors=3\times2=6

So, its D

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