Which of the following numbers is divisible by 12?

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Multiple Choice

Which of the following numbers is divisible by 12?

Explanation:
Being divisible by 12 means the number must be divisible by both 3 and 4. Check 4 by looking at the last two digits, and check 3 by adding the digits. 125: last two digits 25 (not divisible by 4); sum of digits is 8 (not divisible by 3). So not divisible by 12. 126: last two digits 26 (not divisible by 4); sum of digits is 9 (divisible by 3). Fails on divisibility by 4. 128: last two digits 28 (divisible by 4); sum of digits is 11 (not divisible by 3). Fails on divisibility by 3. 132: last two digits 32 (divisible by 4); sum of digits is 6 (divisible by 3). Passes both tests, so divisible by 12. So 132 is the number divisible by 12.

Being divisible by 12 means the number must be divisible by both 3 and 4. Check 4 by looking at the last two digits, and check 3 by adding the digits.

125: last two digits 25 (not divisible by 4); sum of digits is 8 (not divisible by 3). So not divisible by 12.

126: last two digits 26 (not divisible by 4); sum of digits is 9 (divisible by 3). Fails on divisibility by 4.

128: last two digits 28 (divisible by 4); sum of digits is 11 (not divisible by 3). Fails on divisibility by 3.

132: last two digits 32 (divisible by 4); sum of digits is 6 (divisible by 3). Passes both tests, so divisible by 12.

So 132 is the number divisible by 12.

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