Question

Which of the following numbers are divisible by 6?

• A. 142
• B. 48
• C. 160
• D. 27

Answer 1

Answer: (A), (B)

48

"The number is divisible by 6, if it is divisible by 2 and 3"
Divisibility by 2: The number is divisible by 2, if its units digit is an even number.
Divisibility by 3: The number is divisible by 3, if sum of its digits is divisible by 3

Divisibility test 6 on 48:
48 is divisible by 2, because its unit digit is an even number
48 = 4 + 8 = 12, the sum of the digits of 48 is 12 which is divisible by 3, so the number 48 is divisible by 3

Because 48 is divisible by 2 and 3, the number is divisible by 6

Divisibility test 6 on 160:
160 is divisible by 2, because its unit digit is an even number
160 = 1 + 6 + 0 = 7, the sum of the digits of 160 is 7 which is not divisible by 3, so the number 160 is not divisible by 3

Because 144 is divisible by 2 and 3, the number is divisibe by 6

Divisibility test 6 on 27:
27 is not divisible by 2, because its unit digit is an odd number
27 = 2 + 7 = 9, the sum of the digits of 27 is 9 which is divisible by 3, so the number 27 is divisible by 3

Although 27 is divisible by 3, it is not divisible by 2, so the number is not divisibe by 6

Divisibility test 6 on 142:
142 is divisible by 2, because its unit digit is an even number
142 = 1 + 4 + 2 = 7, the sum of the digits of 142 is 7 which is not divisible by 3, so the number 142 is not divisible by 3

Although 142 is divisible by 2, it is not divisible by 3, so the number is not divisible by 6