Divisibility and Divisibility Rules

🎬 Video: Rules of Divisibility Explained

What Does Divisible Mean? (0:01)

🌟 Definition of Divisibility:

When you divide a number and there’s no remainder, the number is divisible by the other.

🍌 Example 1:

$ 9 \div 2 = 4 \text{ R }1$

The remainder is 1, so 9 is not divisible by 2.

🍌 Example 2:

$ 9 \div 3 = 3$

There’s no remainder, so 9 is divisible by 3.

Divisibility Rules for 2, 4, and 8 (0:45)

Divisibility rules help you quickly check if a number is divisible without doing the full division.


💡 Divisible by 2:

Rule: Look at the last digit. If it’s 0, 2, 4, 6, or 8, the number is divisible by 2.

Example: Is 26 divisible by 2?

  • 26 ends in 6, which is even.
  • So, 26 is divisible by 2.


💡 Divisible by 4:

Rule: Look at the last two digits. If those digits make a number divisible by 4, the whole number is divisible by 4.

Example: Is 328 divisible by 4?

  • The last two digits of 328 are 28. 
  • 28 is divisible by 4, so 328 is divisible by 4.


💡Divisible by 8:

Rule: Look at the last three digits. If that number is divisible by 8, then the whole number is.

Example:

  • The last three digits of 6160 are 160.
  • 160 is divisible by 8, so 6160 is divisible by 8.

Divisibility Rules for 3, 6, and 9 (1:34)

💡Divisible by 3:

Rule: Add all the digits. If the sum is divisible by 3, then the whole number is divisible by 3.

Example: Is 543 divisible by 3?

  • Adding all digits: 5 + 4 + 3 = 12
  • 12 is divisible by 3, so 543 is divisible by 3.


💡 Divisible by 9:

Rule: Add all the digits. If the sum is divisible by 9, then the number is divisible by 9.

Example: Is 198 divisible by 9?

  • Adding all digits: 1 + 9 + 8 = 18
  • 18 is divisible by 9, so 198 is divisible by 9.


💡Divisible by 6:

Rule: Check if the number is divisible by both 2 and 3. If it passes both checks, then the number is divisible by 6.

Example: Is 402 divisible by 6?

  • The last digit is 2, so 402 is divisible by 2.
  • The sum of all digits is 4 + 0 + 2 = 6.
  • 6 is divisible by 3, so 402 is divisible by 3.
  • Since 402 is divisible by 2 and 3, 402 is divisible by 6.

Divisibility Rules for 5 and 10 (2:52)

💡Divisible by 5:

Rule: A number is divisible by 5 if its last digit is 0 or 5.

Example: Is 415 divisible by 5?

  • The last digit is 5, so 415 is divisible by 5.

 

💡Divisible by 10:

Rule: A number is divisible by 10 if its last digit is 0.

Example: Is 320 divisible by 10?

  • The last digit is 0, so 320 is divisible by 10.

📂 Flashcards: Divisibility Rules (2 to 9)

🍪 Quiz: Test Your Divisibility Skills

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Divisibility and Divisibility Rules

1 / 6

Q: Is 124 divisible by 2?

2 / 6

Q: Which of the following numbers is divisible by 5?

3 / 6

Q: Is 542 divisible by 3?

4 / 6

Q: Is 675 divisible by 9?

5 / 6

Q: Which of the following numbers is divisible by 8?

6 / 6

Q: Is 528 divisible by 6?

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