Do Not Use a Calculator: Divisibility By 12

Number Theory Level 1

Is 493827156 493827156 divisible by 12?

Yes I Don't Know Can't Say No

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Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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3 solutions

Jud Son
Nov 15, 2014

Divisibility rule states that for any number that is divisible by 3 and 4 is divisible by 12.

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Shohag Hossen
Oct 18, 2014

If any number is divisible both by 3 and 4, then it is divisible by 12 also. Here 4+9+3+8+2+7+1+5+6=45 which divisible by 3, again last two digit which 5*10+6=56%4=0 . So, 49382756 is divisible by 12, because 49382756 is divisible by 3 and 4.

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Arun Jp
Oct 15, 2014

If any number is divisible both by 3 and 4, then it is divisible by 12 also.

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Divisibility by 3: sum of digits is divisible by 3.

Divisibility by 4: last two digits are divisible by 4

Trevor Arashiro - 6 years, 8 months ago

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