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# If an integer is divisible by both 8 and 15, then the intege

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Joined: 18 Apr 2015
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Kudos [?]: 1154 [0], given: 5471

If an integer is divisible by both 8 and 15, then the intege [#permalink]  26 Nov 2017, 02:57
Expert's post
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Question Stats:

80% (01:43) correct 20% (04:37) wrong based on 5 sessions
If an integer is divisible by both 8 and 15, then the integer also must be divisible by which of the following?

A. 16

B. 24

C. 32

D. 36

E. 45
[Reveal] Spoiler: OA

_________________
Moderator
Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 [0], given: 5471

Re: If an integer is divisible by both 8 and 15, then the intege [#permalink]  26 Nov 2017, 03:03
Expert's post
Explanation

A number for being divisible by 8 and 15 must contains 3 prime factors:$$2^3 - 3 - 5$$ or at least a combination of these numbers

A. $$16 = 4^2$$

C. $$4 * 8 = 2^2 * 2^3$$

D. $$4*9= 2^2 * 3^2$$

E. $$45 = 5* 9 = 5 * 3^2$$

B is the only number fits the bill
_________________
Re: If an integer is divisible by both 8 and 15, then the intege   [#permalink] 26 Nov 2017, 03:03
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