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# What is the remainder when the number 14^2 * 15^8 is divided by 5?

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Joined: 02 Jun 2015
Posts: 191
Location: Ghana
What is the remainder when the number 14^2 * 15^8 is divided by 5?  [#permalink]

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Updated on: 23 Aug 2016, 13:43
1
2
00:00

Difficulty:

5% (low)

Question Stats:

80% (00:41) correct 20% (00:54) wrong based on 130 sessions

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What is the remainder when the number 14^2 * 15^8 is divided by 5?

A) 0
B) 1
C) 2
D) 4
E) 5

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Kindly press kudos if you find my post helpful

Originally posted by duahsolo on 23 Aug 2016, 12:26.
Last edited by duahsolo on 23 Aug 2016, 13:43, edited 1 time in total.
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Re: What is the remainder when the number 14^2 * 15^8 is divided by 5?  [#permalink]

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23 Aug 2016, 13:07
1
14^2 has units digit 6
15^8 has units digit 5

Thus 14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero

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Re: What is the remainder when the number 14^2 * 15^8 is divided by 5?  [#permalink]

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23 Aug 2016, 16:28
duahsolo wrote:
What is the remainder when the number 14^2 * 15^8 is divided by 5?

A) 0
B) 1
C) 2
D) 4
E) 5

Multiplying 14^2 by 15^8 will give a number wholly divisible by 5.

Hene, Option A is CORRECT

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Re: What is the remainder when the number 14^2 * 15^8 is divided by 5?  [#permalink]

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24 Aug 2016, 03:25
1
duahsolo wrote:
What is the remainder when the number 14^2 * 15^8 is divided by 5?

A) 0
B) 1
C) 2
D) 4
E) 5

14^2 * 15^8 = (some integer)*(a multiple of 5) = (a multiple of 5), hence the remainder upon division by 5 is 0.

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Re: What is the remainder when the number 14^2 * 15^8 is divided by 5?  [#permalink]

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09 Dec 2017, 00:12
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Re: What is the remainder when the number 14^2 * 15^8 is divided by 5? &nbs [#permalink] 09 Dec 2017, 00:12
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