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How many positive integers less than 20 are factors of 96?

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sandy
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How many positive integers less than 20 are factors of 96? [#permalink] New post   25 Oct 2016, 12:58
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Question Stats:

46% (01:09) correct 53% (01:13) wrong based on 80 sessions

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How many positive integers less than 20 are factors of 96?

A. 5
B. 6
C. 7
D. 8
E. 9


Drill 2
Question: 7
Page: 287
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Official Answer
D
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sandy
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Re: How many positive integers less than 20 are factors of 96? [#permalink] New post   25 Oct 2016, 13:00
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Explanation

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Eight of these numbers are less than 20.

Hence option D is correct.
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Re: How many positive integers less than 20 are factors of 96? [#permalink] New post   01 Oct 2022, 02:37
1
We need to find How many positive integers less than 20 are factors of 96

Factors of 96 can be written as follows (so that we don't miss any of them)

1 x 96
2 x 48
3 x 32
4 x 24
6 x 16
8 x 12

We can stop here as other factors will be repeated now.

=> Factors less than 20 are 1, 2, 3, 4, 6, 8, 12, 16 => 8

So, Answer will be D
Hope it helps!
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gmatclubot
Re: How many positive integers less than 20 are factors of 96? [#permalink]
01 Oct 2022, 02:37
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