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How many different factors does the integer n have? [#permalink]

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Updated on: 13 Nov 2017, 01:03

2

(1) we know the powers oif prime factors, so using the fornmula we can find total number of different factors= (3+1)*(4+1)= 20 - sufficient (2) without knowing the powers we cannot figure out total number of factors - insufficient

Answer A

Originally posted by Alexey1989x on 13 Nov 2017, 00:34.
Last edited by Alexey1989x on 13 Nov 2017, 01:03, edited 1 time in total.

Re: How many different factors does the integer n have? [#permalink]

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13 Nov 2017, 00:57

2

Alexey1989x wrote:

(1) n has "a" and "b" as its prime factors, 1 and "n" itself, so the total number is 4 - Sufficient (2) n has 5;7;1 and 35 itself so in total it has 4 factors - Sufficient

Answer D.

statement B says 3 and 5 are the only prime factors, but it does not mention the powers of each. Therefore, A should be the answer.

gmatclubot

Re: How many different factors does the integer n have?
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13 Nov 2017, 00:57