Divisible by 2

A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2.

So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

Numbers divisible by 2 are called even numbers.

Numbers not divisible by 2 are called odd numbers.

Let us consider some of the following numbers which are divisible by 2 using the divisibility test.

346, 218, 106, 100, 194, 152 here all these number is divisible by 2 because their units place is either 0 or multiple of 2.

Similarly, the numbers 14, 64, 86, 102, 568, 120 etc. is divisible by 2 because their units place is either 0 or multiple of 2.

Similarly again, 182, 198, 200, 100, 406, 304 are also divisible by 2 because their units place is either 0 or multiple of 2.Again let us consider,

317, 125, 103, 159 etc. here all these number is not divisible by 2 because their units place is not multiple of 2.

Similarly, the numbers 141, 63, 87, 105, 563, 129 etc. is not divisible by 2 because their units place is not multiple of 2.

Similarly again, 111, 199, 203, 101, 405, 307 are also not divisible by 2 because their units place is not multiple of 2.

For example:

Determine the following numbers which are divisible by 2, using the test of divisibility by 2:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

Solution:

(i) 176

We know the rules of divisibility by 2, if the unit’s place of the number is either 0 or multiple of 2.

Here, in 176 the unit place is 6 and 6 is divisible by 2.

Hence, 176 is divisible by 2.

(ii) 221

We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.

Here, in 221 the unit place is 1 and 1 is not divisible by 2.

Hence, 221 is not divisible by 2.

(iii) 327

We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.

Here, in 327 the unit place is 7 and 7 is not divisible by 2.

Hence, 327 is not divisible by 2.

(iv) 90

We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.

Here, in 90 the unit place is 0 and 0 is divisible by 2.

Hence, 90 is divisible by 2.

(v) 192

We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.

Here, in 192 the unit place is 2 and 2 is divisible by 2.Hence, 192 is divisible by 2.