Sunday, 26 April 2020

Divisibility by 4

Divisibility by 4

A number is divisible by 4, if it is even and the value of the last two digits is divisible by 4

METHOD
Step 1. Check out the whether the number is even and the last two digits of the given number
Step 2. If the value the two digits is divisible by 4, then the number is also divisible by 4.

Example 1. Consider the number 316
Step 1. The number is even, and the value the two digits is 16
Step 2. 16 / 4 = 4 exactly
Since the value the last two digits is divisible by 4, so 316 is also divisible by 4.
Check. 316 / 4 = 79

Example 2. Consider the number 4682
Step 1. The number is even, and the value the two digits is 82
Step 2. 82 / 4 = 20 remain 2
Since the value the last two digits is not divisible by 4, so 4682 is not divisible by 4.
Check. 4682 / 4 = 1170 remain 2

Example 3. Consider the number 8253
Step 1. The number is odd
Since the number is odd, 8253 is not divisible by 4.
Check. 8253 / 4 = 2064 remain 1

Divisibility by 4
Number Number Odd or Even? Step 1 Step 2 Step 2 Divisible by 4? Number Divisible by 4?
316 Even 16 16 / 4 = 4 exactly YesYes
4682 Even 82 82 / 4 = 20 remain 2 NoNo
8253 Odd

No