Question

Which of the following numbers are divisible by 12?

• A. 46
• B. 132
• C. 56
• D. 315

Answer 1

Answer: (A), (B)

132

"The number is divisible by 12, if it is divisible by 3 and 4"
Divisibility by 3: The number is divisible by 3, if sum of its digits is divisible by 3
Divisibility by 4: The number is divisible by 4, if the last two digit is divisible by 4

Divisibility test 12 on 46:
46 = 4 + 6 = 10, the sum of the digits of 46 is 10 which is not divisible by 3, so the number 46 is not divisible by 3
46 is not divisible by 4

46 is not divisible by 3 and 4 both, so the number is not divisibe by 12

Divisibility test 12 on 132:
132 = 1 + 3 + 2 = 6, the sum of the digits of 132 is 6 which is divisible by 3, so the number 132 is divisible by 3
132 is divisible by 4, because the last two digit 32 is divisible by 4

Because 132 is divisible by 3 and 4, the number is divisibe by 12

Divisibility test 12 on 56:
56 = 5 + 6 = 11, the sum of the digits of 56 is 11 which is not divisible by 3, so the number 56 is not divisible by 3
56 is divisible by 4

Although 56 is divisible by 4, it is not divisible by 3, so the number is not divisibe by 12

Divisibility test 12 on 315:
315 = 3 + 1 + 5 = 9, the sum of the digits of 315 is 9 which is divisible by 3, so the number 315 is divisible by 3
315 is not divisible by 4, beacuse the last two digits of 315 is not divisible by 4

Although 315 is divisible by 3, it is not divisible by 4, so the number is not divisibe by 12