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

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

**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.

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

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

In this article, we will teach you the best and simplest tricks to identify if a number is divisible by $2$, by $4$, and by $10$.

**Shall we start?**

A number is divisible by $2$ if its units digit is even.

Let's remember that an even digit is one that can be divided by $2$ without leaving a remainder.

If the units digit is odd, we can determine, without a doubt, that the number is not divisible by $2$.

**Divisibility by 2 - example 1**

The number $48$

Let's observe the units digit $8$

$8$ is even, therefore, we can determine that the number $48$ is divisible by $2$.

**Divisibility by 2 - example 2**

The number $677$

Let's observe the units digit $7$.

$7$ is odd, therefore, we can determine that $677$ is not divisible by $2$.

**Divisibility by 2 - example 3**

Determine if the number $3578$ is divisible by $2$.

**Solution:**

The units digit is $8$, even, therefore, the number is divisible by $2$.

**Divisibility by 2 - example 4**

Determine if the number $10003$ is divisible by $2$

**Solution:**

The units digit is $3$, odd, therefore, the number is not divisible by $2$.

Test your knowledge

Question 1

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

Question 2

Is the number 30 divisible by 10?

Question 3

Choose the correct answer

To find out if a certain number is divisible by $4$ we will teach you $2$ ways to do it:

**Divisibility by 4, (First method) - example 1**

The number $832$

The last two digits are $32$. $32$ is divisible by $4$, therefore, we will determine that $832$ is divisible by $4$.

**Divisibility by 4, (First method) - example 2**

The number $56712$

The last two digits are $12$. $12$ is divisible by $4$, therefore, we can determine that $56712$ is as well.

**Divisibility by 4, (First method) - example 3**

The number $415$

The last two digits are $15$. $15$ is not divisible by $4$, therefore, we will determine that $415$ is not either.

Do you know what the answer is?

Question 1

Choose the correct answer

Question 2

Choose the correct answer

Question 3

Choose the correct answer

**Multiply the tens digit by 2 and add the units digit. If the result is a multiple of 4, the original number is also.**

**Divisibility by, (Second method) - example 1**

The number $832$

Let's multiply the tens digit $3$ by $2$ and add the units digit $2$:

$3\times 2+2=8$

$8$ is divisible by $4$, therefore, we will determine that $832$ is as well.

**Divisibility by, (Second method) - example 2**

The number $56712$

Let's multiply the tens digit $1$ by $2$ and add the units digit $2$:

$1\times 2+2=4$

$4$ is divisible by $4$, therefore, we will determine that $56712$ is also $4$.

**Divisibility by, (Second method) - example 3**

The number $415$

Let's multiply the tens digit $1$ by $2$ and add the units digit $5$:

$1\times 2+5=7$

$7$ is not divisible by $4$ therefore, we will determine that $415$ is not either.

A number is divisible by $10$ if its units digit is $0$.**Divisibility by 10 - example 1**

Is the number $480$ divisible by $10$?

The units digit is $0$ therefore, we can determine that $480$ is divisible by $10$.

**Divisibility by 10 - example 2**

Is the number $567$ divisible by $10$?

The units digit is $7$ and not $0$. Consequently, the number $567$ is not divisible by $10$.

**Divisibility by 10 - example 3**

Is the number $65860$ divisible by $10$?

The units digit is $0$, therefore, we can determine that the number $65860$ is divisible by $10$.

Check your understanding

Question 1

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

Question 2

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

Question 3

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

In third grade $A$ there are $4$ students, in third grade $B$ there are $2$ students, and in third grade $C$ there are $10$ students.

If we have $120$ balloons, in which grade could the balloons be distributed equally, without any remainder?

**Answer:** in all grades.

**Solution:**

Let's see if the number $120$ is divisible by $4$.

Take the last pair of digits $20$. $20$ is divisible by $4$, therefore, $120$ is divisible by $4$.

Let's see if the number $120$ is divisible by $2$.

The units digit is $0$ even, therefore, $120$ is divisible by $2$.

Let's see if the number $120$ is divisible by $10$.

The units digit is $0$, therefore, the number is divisible by $10$.

Do you think you will be able to solve it?

Question 1

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

Question 2

Is the number 10 divisible by 4?

Question 3

Is the number 15 divisible by 2?