44th Problem 2016

Number Theory Level 1

True or false :

478912364137137423654787352 is not divisible by 5.

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False True

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Angela Fajardo by Angela Fajardo , 19, Philippines

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3 solutions

Satyabrata Dash
Mar 20, 2016

The number should end with either 5 or 0 for being divisible by 5.

since it isn't happening , thus, the number is not divisivble by 5.

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Angela Fajardo
Mar 15, 2016

Numbers divisible by 5 ends with either 0 or 5.

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Since 478 , 912 , 364 , 137 , 137 , 423 , 654 , 787 , 352 ≡ 2 ( m o d 5 ) 478,912,364,137,137,423,654,787,352 \equiv 2 \pmod{5} ,therefore it is not divisible by 5

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