## Divisibility Rules for 2, 4, and 10

### Divisibility Criteria for 2

A number is divisible by $2$ if the units digit is even - that is, it divides by $2$ without a remainder.

### Divisibility Rules for 4

First way: A number is divisible by $4$ if its last two digits are divisible by $4$.
Second way: Multiply the tens digit by $2$ and add the units digit. If the result obtained is a multiple of $4$, then the original number is as well.

### Divisibility Rules for 10

A number is divisible by $10$ if its units digit is $0$.

## Examples with solutions for Divisibility Rules for 2, 4 and 10

### Exercise #1

Is the number 43 divisible by 4?

No

### Exercise #2

Is the number 21 divisible by 4?

No

### Exercise #3

Is the number 61 divisible by 10?

No

### Exercise #4

Is the number 15 divisible by 2?

No

### Exercise #5

Is the number 10 divisible by 4?

No

### Exercise #6

Is the number 42 divisible by 2?

Yes

### Exercise #7

Is the number 30 divisible by 10?

Yes

### Exercise #8

Is the number 8 divisible by 2?

Yes

### Exercise #9

Is the number 16 divisible by 2?

Yes

### Exercise #10

Is the number 16 divisible by 4?

Yes

### Exercise #11

Is the number 60 divisible by 4?

Yes

### Exercise #12

Is the number 60 divisible by 10?

Yes

### Exercise #13

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

No.

### Exercise #14

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

No.

### Exercise #15

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