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Divisibility

Definition Of Divisibility

A number is divisible, if the given divisor divides the number with no remainder.

More About Divisibility

The divisibility of a number depends on the number (that divides it)/ by which it is being divided.

Example of Divisibility

If the last digit of a number is divisible by 2, then the number is divisible by 2. For example: 8246 is divisible by 2 as the last digit of it, i.e. 6, is divisible by 2..
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. For example: In 4257, 4 + 2 + 5 + 7 = 18 is divisible by 3, so 4257 is divisible by 3.

Video Examples: Divisibility Rule for Seven (TANTON Mathematics)
 

Solved Example on Divisibility

Ques: Identify the number that is divisible by 3.

Choices:

A. 225
B. 125
C. 205
D. 148
Correct Answer: A

Solution:

Step 1: If the number has digits whose sum is divisible by 3, then it is divisible by 3. [Divisibility rule]
Step 2: 2 + 2 + 5 = 9 [Add the digits in the number 225.]
Step 3: 9 is divisible by 3. So, 225 is divisible by 3.