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 $0$.

Is the number 10 divisible by 4?

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

Is the number 15 divisible by 2?

Question 2

Is the number 60 divisible by 10?

Question 3

Is the number 60 divisible by 4?

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

Is the number 16 divisible by 4?

Question 2

Is the number 16 divisible by 2?

Question 3

Is the number 61 divisible by 10?

**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

Is the number 21 divisible by 4?

Question 2

Is the number 8 divisible by 2?

Question 3

Is the number 30 divisible by 10?

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 $10$.

Is the number 10 divisible by 4?

No

Is the number 15 divisible by 2?

No

Is the number 60 divisible by 10?

Yes

Is the number 60 divisible by 4?

Yes

Is the number 16 divisible by 4?

Yes

Do you think you will be able to solve it?

Question 1

Is the number 42 divisible by 2?

Question 2

Is the number 43 divisible by 4?

Question 3

Choose the correct answer