Grade 7 · Math · Unit 1 of 16
Divisibility Rules
Is it divisible?
What your child practises
Using divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10 without dividing, and why no number can be divided by 0.
Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Number · divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, and why a number cannot be divided by 0
How we explain it
Children can open this short lesson before they practise.
- 2: the number is even. 5: it ends in 0 or 5. 10: it ends in 0.
- 3: the digits add to a multiple of 3. 9: the digits add to a multiple of 9.
- No number can be divided by 0.
Example: Is 7 236 divisible by 9? Add the digits: 7 + 2 + 3 + 6 = 18. 18 is a multiple of 9. Answer: Yes
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which digit can replace ■ so that 1■2 is divisible by 9?
- 9
- 5
- 6
6
Hint: The digits must add up to a multiple of 9. 1 + 2 = 3, so add ■ to reach the next multiple of 9.
Question 2
Which number is divisible by 6?
- 634
- 961
- 513
- 534
534
Hint: A number is divisible by 6 if it is divisible by both 2 and 3.
Question 3
Is 344 divisible by 4?
- Yes
- No
Yes
Hint: A number is divisible by 4 if its last two digits form a multiple of 4.
Question 4
Why can a number not be divided by 0?
- The answer is always 1
- The answer is always 0
- The answer is the number itself
- No number multiplied by 0 gives a number other than 0, so there is no answer
No number multiplied by 0 gives a number other than 0, so there is no answer
Hint: Division asks: what number times the divisor gives the dividend? Nothing times 0 gives 12, for example.
Question 5
Which number is divisible by 6?
- 927
- 241
- 90
- 85
90
Hint: A number is divisible by 6 if it is divisible by both 2 and 3.
Question 6
Is 278 divisible by 2?
- Yes
- No
Yes
Hint: A number is divisible by 2 if its last digit is even.