Skip to content

Divisibility Rules for 2, 5, and 10

Mathematics Grade 4 Difficulty 1/5

Beginning of the lesson

Understanding Divisibility Rules for 2, 5, and 10

What is Divisibility?

A number is divisible by another number when you can divide it evenly with no remainder. For example, 12 is divisible by 2 because 12 ÷ 2 = 6 with nothing left over!

Why Learn Divisibility Rules?

Imagine you're at a party with 48 cookies and want to share them equally among friends. Instead of doing long division, you can use divisibility rules to quickly check if the cookies can be shared evenly among 2, 5, or 10 friends!

These rules are like mathematical shortcuts that help you:

  • Check answers quickly in your head
  • Solve problems faster
  • Understand number patterns
  • Build strong number sense

The Magic of the Last Digit

Here's an amazing secret: To check if a number is divisible by 2, 5, or 10, you only need to look at the last digit (the ones place)! Let's explore why this works.

Place Value ConnectionHundredsAlways divisibleTensAlways divisibleOnesTHIS determinesdivisibility!

Continue this lesson on YourAIZone

The full lesson has the complete explanation, worked examples, common mistakes, tests with instant checking and an AI tutor. Start right away as a guest, or create an account to keep your progress.

In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 63
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers