E-Lecture - Divisibility test for 2

A whole number is divisible by 2, if its unit’s digit is an even number, that is, the unit’s digit of the number is one of the numbers 0, 2, 4, 6, 8.

Example

Determine if each the following numbers are divisible by 2.
1880, 10401, 10072, 23933, 10004, 231425 and 1905446.

Solution

The unit’s digits of 1880, 10072, 10004 and 1905446 are 0, 2, 4 and 6 respectively, which are even. Hence, 1880, 10072, 10004 and 1905446 are divisible by 2.

The unit’s digits of 10401, 23933 and 231425 are 1, 3 and 5 respectively, which are not even.

Therefore, 10401, 23933 and 231425 are not divisible by 2.