Numbers and Decimals

Basic Arithmetic

Number Line and Comparing Numbers

Place Value Chart & Rounding

Basic Arithmetic & Inverse Operations

BIDMAS - Order of Operations

Commutative and Associative Laws

Distributive Law

Column Addition and Subtraction

Long Multiplication

Factors and Multiples

Divisibility and Divisibility Rules

Prime Numbers and Prime Factorization

Powers and Roots

Basics of Square Roots

Multiplying and Dividing Square Roots

The nth Root and Fractional Indices

Laws of Indices (Same Base, Same Indices)

Negative Indices and Power of a Power

Decimals

Decimals and Fractions

Comparing and Rounding Decimals

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Previous Lesson

Divisibility and Divisibility Rules

Numbers and Decimals Divisibility and Divisibility Rules

🎬 Video Tutorial

(0:01) Divisibility Definition: A number is divisible by another if it divides exactly with no remainder.
(0:45) Divisibility by 2, 4 and 8: A number is divisible by 2 if its last digit is even; divisible by 4 if its last two digits form a number divisible by 4; and divisible by 8 if its last three digits form a number divisible by 8.
(1:34) Divisibility by 3, 6, and 9: A number is divisible by 3 if the sum of its digits is divisible by 3; divisible by 9 if the sum of its digits is divisible by 9; and divisible by 6 if it is divisible by both 2 and 3.
(2:52) Divisibility Rules for 5 and 10: A number is divisible by 5 if its last digit is 0 or 5, and divisible by 10 if it ends in 0.

📂 Revision Cards

Illustration explaining divisibility using bananas to represent division of 9 by 2 and 3, showing a remainder with 2 and no remainder with 3.

Divisibility rules for 2, 4, and 8 showing conditions based on last digits, examples 26, 328, 6160, and their corresponding calculations.

Divisibility rules for 3, 9, and 6 showing conditions based on last digits, examples 543, 198, 402, and their corresponding calculations.

Showing that numbers are divisible by 5 if the last digit is 0 or 5, and divisible by 10 if the last digit is 0, with examples 415 and 320.

🍪 Quiz

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Divisibility and Divisibility Rules

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Q: Is 124 divisible by 2?

No

Yes

Feedback: Not quite! 124 is an even number, which means it is divisible by 2. Any number that ends in 0, 2, 4, 6, or 8 is divisible by 2.

Feedback: Well done! 124 is an even number, which means it is divisible by 2. Any number that ends in 0, 2, 4, 6, or 8 is divisible by 2.

2 / 6

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

57

23

40

76

Feedback: Not quite! A number is divisible by 5 if it ends in 0 or 5. Among the options, only 40 ends in 0, making it divisible by 5.

Feedback: Well done! A number is divisible by 5 if it ends in 0 or 5. Among the options, only 40 ends in 0, making it divisible by 5.

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Q: Is 542 divisible by 3?

Yes

No

Feedback: Not quite! To check if 542 is divisible by 3, add its digits: 5 + 4 + 2 = 11. Since 11 is not divisible by 3, 542 is not divisible by 3.

Feedback: Well done! To check if 542 is divisible by 3, add its digits: 5 + 4 + 2 = 11. Since 11 is not divisible by 3, 542 is not divisible by 3.

4 / 6

Q: Is 675 divisible by 9?

Yes

No

Feedback: Not quite! To check if 675 is divisible by 9, add its digits: 6 + 7 + 5 = 18. Since 18 is divisible by 9, 675 is also divisible by 9.

Feedback: Well done! To check if 675 is divisible by 9, add its digits: 6 + 7 + 5 = 18. Since 18 is divisible by 9, 675 is also divisible by 9.

5 / 6

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

590

145

274

432

Feedback: Well done! To check if a number is divisible by 8, the last three digits must be divisible by 8. Only 432 meets this condition.

Feedback: Not quite! To check if a number is divisible by 8, the last three digits must be divisible by 8. Only 432 meets this condition.

6 / 6

Q: Is 528 divisible by 6?

Yes

No

Feedback: Not quite! For a number to be divisible by 6, it must be divisible by 2 and 3. Since 15 (5 + 2 + 8) isn't divisible by 3, 528 isn't divisible by 6.

Feedback: Well done! For a number to be divisible by 6, it must be divisible by 2 and 3. Since 15 (5 + 2 + 8) isn't divisible by 3, 528 isn't divisible by 6.

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