A number theory problem by Murad Al Wajed

Number Theory Level 1

Is 51984651654432132164651384613216487645413128 divisible by 4?

No Yes

Murad Al Wajed by Murad Al Wajed , 25, Bangladesh

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2 solutions

Murad Al Wajed
Mar 7, 2016

51984651654432132164651384613216487645413128 = 51984651654432132164651384613216487645413100 +28

Here, 51984651654432132164651384613216487645413100 is divisible by 4 and 28 is divisible by 4. So 51984651654432132164651384613216487645413128 is also divisible by 4.

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But then how so we know that that other number is divisible by 4??

Colin Carmody - 5 years, 3 months ago

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if last two digit of a number is divisible by 4. Then the whole number must be divisible by 4.

Murad Al Wajed - 5 years, 3 months ago

The other number is a multiple of 100, so it is a number x*100. 100 is divisible by 4, so the other number also is.

smiti mittal - 5 years, 3 months ago
Anurag Pandey
Jul 27, 2016

Simple divisibility test that a number is divisible by four if the last two digits of that number is divisible by four. Simple but it made the whole lot problem of dividing and checking whether the number is divisible by four or not easier.😀

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