Check whether the given numbers are divisible by ‘6’ or not?

(a) 273432 (b) 100533

(c) 784076 (d) 24684

(a), (d) are divisible by 6

For a number to be divisible by 6 it must be divisible by 2 and 3

(a) 273432 is divisible by 2. Since, unit place of a number is divided by 2

⇒ 273432 is divisible by 3.

Since, sum of digits of a number = 2 + 7 + 3 + 4 + 3 + 2 = 21 is divisible by 3.

(b) 100533 is not divisible by 2.

∴ it is not divisible by 6.

(c) 784076 is not divisible by 2.

∴ it is not divisible by 6.

(d) 24684 is divisible by 2. Since, unit place of a number is divided by 2

⇒ 24684 is divisible by 3.

Since, sum of digits of a number = 2 + 4 + 6 + 8 + 4

= 24 is divisible by 3.