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# Which of the following has 15^80 as a factor?

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Math Expert
Joined: 02 Sep 2009
Posts: 62542
Which of the following has 15^80 as a factor?  [#permalink]

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25 Apr 2016, 02:57
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15% (low)

Question Stats:

79% (01:10) correct 21% (01:06) wrong based on 84 sessions

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Which of the following has 15^80 as a factor?

A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80

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Re: Which of the following has 15^80 as a factor?  [#permalink]

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25 Apr 2016, 05:08
Here 15^80 = 3^80 * 5^80 Only Option E has both .
Smash E
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Re: Which of the following has 15^80 as a factor?  [#permalink]

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08 Feb 2020, 11:51
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Top Contributor
Bunuel wrote:
Which of the following has 15^80 as a factor?

A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80

Key concept: $$(xy)^n = (x^n)(y^n)$$

E) 90^80 = (15 x 6)^80
= (15^80)(6^80)

As we can see, 90^80 is a multiple of (15^80), which means (15^80) is a factor of 90^80

Cheers,
Brent
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Re: Which of the following has 15^80 as a factor?   [#permalink] 08 Feb 2020, 11:51
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