All even numbers are divisible by 2.
A number ends with one of the following digits is called as even number.
0, 2, 4, 6 or 8
Example 1 :
Check whether 16 is divisible by 2.
Solution :
16 ends with the digit 6.
So, 16 is an even number and it is divisible by 2.
Example 2 :
Check whether 300 is divisible by 2.
Solution :
300 ends with the digit 0.
So, 300 is an even number and it is divisible by 2.
Example 3 :
Check whether 27 is divisible by 2.
Solution :
27 ends with the digit 7.
So, 27 is not an even number and it is not divisible by 2.
Example 4 :
8k is a two digit number and it is divisible by 2. If k is an integer between 0 and 5, find all possible values of k.
Solution :
Because k is an integer between 0 and 5, the possible values of k are
1, 2, 3, 4
Substitute the above values for k in 8k.
Then, we have
81, 82, 83, 84
In the above numbers, only 82 and 84 are even numbers and they are divisible by 2.
For k = 2 and 4, the two digit number 8k is an even number.
So, the possible values of k are 2 and 4.
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