By which of the following numbers 178 is divisible?

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Detailed Solution

The number 178 is divisible by 2.

Divisibility test for 2:

If the one’s digit of a number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

Since the one's digit in the number 178 is 8, therefore, 178 is divisible by 2.

Divisibility test for 3:

A number N is divisible by 3 if the sum of its digits is divisible by 3.

178 = 1 + 7 + 8 = 16, which is not divisible by 3.

Therefore, 178 is not divisible by 3.

Divisibility test for 5:

If the one's digit of a number is 0 or 5, then it is divisible by 5.

Since the ones digit in the number 178 is 8, therefore, 178 is not divisible by 5.

Divisibility test for 10:

A number is divisible by 10 if its one's digit is 0.

Since the ones digit in the number 178 is 8, therefore, 178 is not divisible by 10.

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