Examples with solutions for Divisibility Rules for 2, 4 and 10: Identifying and defining elements

Exercise #1

If a number is divisible by 10, is it also therefore divisible by 2?

Video Solution

Step-by-Step Solution

The answer is yes - every number that is divisible by 10 is divisible by 2.

This can be learned through the divisibility rules of each number.

We know that to identify a number divisible by 10, we need to examine its ones digit,

only numbers whose ones digit is 0 are divisible by 10,

for example: 30, 510, 15610

We know that numbers whose ones digit is 0 are actually even numbers,

and even numbers are divisible by 2 without a remainder.

 

Therefore, we can be certain - every number that is divisible by 10 is also divisible by 2.

It's important to understand that this is not necessarily true in reverse, not every number that is divisible by 2 is also divisible by 10!

Answer

Yes.

Exercise #2

If a number is divisible by 10, will it therefore be divisible by 4?

Video Solution

Answer

No.

Exercise #3

If a number is divisible by 2, is it therefore also divisible by 10?

Video Solution

Answer

No.

Exercise #4

If a number is divisible by 2, is it therefore also divisible by 4?

Video Solution

Answer

No.

Exercise #5

If a number is divisible by 4, will it necessarily be divisible by 10?

Video Solution

Answer

No.

Exercise #6

If a number is divisible by 4, is it necessarily also divisible by 2?

Video Solution

Answer

Yes.