Divisibility by 2

Numbers which are divisible by 2, are called even, numbers which are not divisible by 2, are called odd.

In the natural series of numbers, even are 2, 4, 6, 8,.......1000,........and
odd are 1, 3, 5, 7, 9,......1001....

0 is an even number.

10 is divisible by 2. Every number, which ends on 0, can be presented as sum of tens.
For example: 30 = 10 + 10 + 10; 50 = 10 + 10 + 10 + 10 + 10

From the rule for division of sum with number follows that:

Every number with last digit 0, is divisible by 2

For example: Numbers 90, 150, 700 are divisible by 2, because they end on 0

Multi-digit number, which does not end on 0, can be presented as sum of number, which ends on 0 and ones, example 596 = 590 + 6

The first addend 590 is divisible by 2, because it ends on 0. The second addend 6 is also divisible by 2, so and the number 596 is divisible by 2

Let us take 597. We present it as 590 + 7. Here again the first addend is divisible by 2, but the second one is 7 and it is not divisible by 2. If only one of the addends is not divisible by 2, the number(597) is not divisible by 2 too

So 596 is divisible by 2, because its last digit is even number and 597 is not divisible because its last digit is odd number.

Numbers divisible by 2 are only those which has even last digit.

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