Question

A number is divisible by 6, if it is divisible by both _________.

Answer 1

Hint: Divisible By means "when you divide one number by another the result is a whole number". A divisibility rule is used for determining whether a positive integer can be evenly divided by another (i.e. there is no remainder left over). For example, determining if a number is even is as simple as checking to see if its last digit is 2, 4, 6, 8 or 0.

Complete step-by-step answer:
We know that the divisibility test of 6 states that a number is divisible by 6 if it is divisible by 2 and 3 both.
For example: 42 is an even number
We know the rules of divisibility by 2.
If the units place of the number is either 0 or multiple of 2.
So, 42 is divisible by 2. Since the unit place is divisible by 2.
and we know the rules of divisibility by 3.
If sum of digits of number is divisible by 3 or multiple of 3
42 is divisible by 3. Since the sum of the digits of 42 = 4+2= 6, which is divisible by 3.
Therefore, 42 is divisible by both 2 and 3.
Hence, 42 is divisible by 6.
So, with the help of above example
We simply say, a number is divisible by 6, if it is divisible by both 2 and 3.

Note: Divisibility rules or Divisibility test have been mentioned to make the division procedure easier and quicker. If students will learn the division rules in Math’s or the divisibility tests for 1 to 20, they can solve the problems in a better way. For example, divisibility rules for 13 help us to know which numbers are completely divided by 13. Some of the numbers like 2, 3, 4, 5 have rules which can be understood easily. But rules for 7, 11, 13, are little complex and need to be understood elaborately.