# Tests for Divisibility of Numbers - Divisibility by 2

## Notes

### Divisibility by 2:

A number is divisible by 2 if it has any of the digits 0, 2, 4, 6, or 8 in its one's place. For example, 2972. Consider the one place digit i.e., 2. When we divide 2 by 2 we get 0 as a reminder. If the one place digit is divisible by 2 then the number 2972 is also divisible by 2.

Here are the even numbers.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, ... ,
and here are the odd numbers.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, ... ,
We see that a natural number is even if its one’s digit is
2, 4, 6, 8 or 0
A number is odd if its one’s digit is
1, 3, 5, 7 or 9
If the one’s digit of a number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

### Let us explain divisible by 2 rule:

Any number cba can be written as 100c + 10b + a
First, two terms namely 100c, 10b are divisible by 2 because 100 and 10 are divisible by 2. So far as a is concerned, it must be divisible by 2 if the given number is divisible by 2. This is possible only when a = 0, 2, 4, 6, or 8.

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Number Divisible By 2 Or Not? [00:03:17]
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