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What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5?

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Bunuel
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What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink] New post   03 Nov 2022, 07:10
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What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. 5
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A
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Re: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink] New post   03 Nov 2022, 07:34
Unit digit of 14,456 × 15,657 × 16,788 will be 6*7*8= 336/5, leaving a remainder 1.
Answer choice A

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Re: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink] New post   03 Nov 2022, 08:48
Bunuel wrote:
What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. 5

\(\frac{14,456 * 15,657 * 16,788}{5}\)

= Rem 1 * Rem 2 * Rem 3/5

= Rem 6/ 5

= Rem 1, Answer must be (A) 1
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Re: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink] New post   03 Nov 2022, 09:29
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Bunuel wrote:
What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5?

A. 1
B. 2
C. 3
D. 4
E. 5


We can use the rule that the remainder, when a number is divided by 5, is equivalent to the remainder when the units digit of that number is divided by 5.

We see that the units digit of 14,456 x 15,657 x 16,788 is 6 x 7 x 8 = 336, so a units digit of 6.

The remainder of 6/5 is 1, so the answer is 1.

Answer: A
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Re: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink] New post   20 Jan 2024, 23:14
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Re: What is the remainder when 14,456 × 15,657 × 16,788 is divided by 5? [#permalink]
20 Jan 2024, 23:14
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