Divisibility by 4
This is the second post in the Divisibility Rules Series. In the last post, we discussed about divisibility by 2. In this post, we discuss divisibility by 4.
Now, how do we know if a number is divisible by ?
Four divides because . It is also clear that four divides and all multiples of . Therefore, four divides multiples of , , and . In general, divides , where is an integer greater than .
Now, how do we know if a number that is not a power of is divisible by . Let us try a few examples.
Example 1: Is divisible by ? is equal to and is divisible by . Since is also divisible by , therefore, id divisible by .
Example 2: Is divisible by ? is equal to . Now, is divisible by . Since is not divisible by , therefore, is not divisible by .
Example 3: Is divisible by ? . Now, is divisible by (it’s a multiple of 100), and is not divisible by . Therefore, is not divisible by .
By now, you would have realized that we just test the last 2 digits of the numbers if we want to find out if it is divisible by 4: 148, 362, and 3426. » Read more