Who is this guide for?

It is written for readers who need a clear, practical explanation before taking action.

How often is this page updated?

The page can be regenerated or refreshed from the management interface when source data changes.

Home
Learning
division
Divisibility test for 2

division

Divisibility test for 2

Spot even numbers and why the last digit matters.

Quick answer

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). You can tell straight away just by looking at the last digit!

Learning outcome

By the end of this page, you will be able to quickly spot if any number is divisible by 2 just by looking at the last digit. You will know that numbers ending in 0, 2, 4, 6, or 8 are even and divisible by 2. Success signs:

You can point to any number and say if it is divisible by 2
You can explain why a number is divisible by 2
You can find even numbers in your daily life
You can check if a number is even or odd without counting all the digits

Why this matters

Knowing if a number is divisible by 2 helps you in many everyday situations. When you are sharing sweets, splitting a pizza, or dividing your pocket money, it's useful to know if a number is even or odd. In games, you might need to divide players into two teams. In cooking, you might need to know if you can split a recipe in half. Understanding divisibility by 2 helps you make quick decisions and solve problems faster.

How it works

To check if a number is divisible by 2, you only need to look at the last digit. Here's how it works step by step:

Look at the last digit of any number
If the last digit is 0, 2, 4, 6, or 8, then the whole number is divisible by 2
If the last digit is 1, 3, 5, 7, or 9, then the whole number is not divisible by 2

This works because any number that ends in an even digit can be split into equal groups of 2. For example, 14 can be split into 7 groups of 2. But 15 cannot be split into equal groups of 2 because there is one left over.

Examples you can see

Let's look at some examples to understand this better.

Number	Last Digit	Divisible by 2?	Why?
24	4	Yes	4 is even, so 24 is divisible by 2
37	7	No	7 is odd, so 37 is not divisible by 2
100	0	Yes	0 is even, so 100 is divisible by 2
123	3	No	3 is odd, so 123 is not divisible by 2
468	8	Yes	8 is even, so 468 is divisible by 2

Let's think about what this means using objects. If you have 12 marbles and want to split them into two equal groups, you can do it because 12 ends in 2, which is even. But if you have 13 marbles, you can't split them into two equal groups because 13 ends in 3, which is odd.

Try it as a mini adventure

Imagine you are going on a treasure hunt with your friends! You find a chest with 123 gold coins inside. You want to split the coins equally between you and your friend. But first, you need to know if you can split them evenly.

Look at the last digit of 123
Is it 0, 2, 4, 6, or 8?
Since it's 3 (which is odd), you cannot split 123 coins equally
You will need to find a different number of coins or share the extra one

Now, let's try another number: 246 coins. This number ends in 6, which is even, so you can split them equally between two people. How many coins will each person get?

Common mistakes

Mistake: Thinking that a number is divisible by 2 if it has an even digit somewhere in it, not just the last digit.
Why it happens: Children might be confused by the pattern and think they need to check all digits.
Fix: Remember, only the last digit matters for divisibility by 2.
Mistake: Confusing divisibility by 2 with divisibility by 4 or 5.
Why it happens: The rules for different numbers can seem similar.
Fix: For 2, only check the last digit. For 4, check the last two digits. For 5, check if the last digit is 0 or 5.
Mistake: Forgetting that 0 is even and divisible by 2.
Why it happens: Zero is a special number and can be confusing.
Fix: Remember, 0 is even because it can be split into 0 groups of 2.

Parent and carer guide

Parents and carers can help by:

Playing the "last digit game" with their child using everyday numbers like house numbers, prices, or phone numbers
Pointing out even numbers in real life: like 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Practicing with small numbers first, then moving to larger ones
Encouraging the child to explain why a number is or isn't divisible by 2
Using visual aids like counters or blocks to show how even numbers can be split into pairs

A quick 5-minute activity: Ask your child to find 10 numbers around the house or street and determine if they are divisible by 2. Then ask them to explain their reasoning. This reinforces the concept and builds confidence.

Practice questions

Is 14 divisible by 2?
Is 25 divisible by 2?
Is 36 divisible by 2?
Is 47 divisible by 2?
Is 58 divisible by 2?
Is 69 divisible by 2?
Is 80 divisible by 2?
Is 91 divisible by 2?
Is 102 divisible by 2?
Is 113 divisible by 2?

Answers:

Yes, because 4 is even
No, because 5 is odd
Yes, because 6 is even
No, because 7 is odd
Yes, because 8 is even
No, because 9 is odd
Yes, because 0 is even
No, because 1 is odd
Yes, because 2 is even
No, because 3 is odd

FAQ

What does "divisible by 2" mean?

It means that when you divide the number by 2, there is no remainder. The number can be split into exactly two equal parts.

Why does only the last digit matter?

Because the place value of the last digit determines if the whole number is even or odd. Numbers that end in even digits (0, 2, 4, 6, 8) can always be split into two equal groups, while numbers ending in odd digits (1, 3, 5, 7, 9) cannot.

Can you use this rule for really big numbers?

Yes! The rule works for any number, no matter how big. Just look at the last digit. For example, 1234567890 is divisible by 2 because it ends in 0.

Is 0 divisible by 2?

Yes! Zero is even and divisible by 2. It can be split into 0 groups of 2, which means there's nothing left over.

How can I remember this rule?

Think of it like this: if the last digit is 0, 2, 4, 6, or 8, the number is even and divisible by 2. If it's 1, 3, 5, 7, or 9, it's odd and not divisible by 2.