Grade 6 · Math · Unit 4 of 18
Factors & Primes
Divisibility and prime factors
What your child practises
Using divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, telling prime from composite, and writing a number as a product of prime factors.
Prince Edward Island Curriculum curriculum outcome: N3 · divisibility rules, prime numbers and prime factorization
How we explain it
Children can open this short lesson before they practise.
- A prime number has exactly two factors: 1 and itself.
- A factor tree splits a number into primes.
- Divisibility rules help: even numbers divide by 2, and digits that add to a multiple of 3 divide by 3.
Example: Write 12 as a product of prime factors. 12 = 2 × 6. 6 = 2 × 3. So 12 = 2 × 2 × 3. Answer: 2 × 2 × 3
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 number is divisible by 8?
- 185
- 97
- 880
880
Hint: Use the divisibility rule for 8.
Question 2
Which shows 45 as a product of prime factors?
- 3 × 3 × 5
- 9 × 5
- 3 × 3 × 2
3 × 3 × 5
Hint: Prime factors are all prime numbers. Check that the product equals the number.
Question 3
A number is divisible by 9 when…
- its digits are all odd
- the sum of its digits is divisible by 9
- its last digit is 9
the sum of its digits is divisible by 9
Hint: Add the digits. If the total is in the 9 times table, the number is too.
Question 4
Is 871 divisible by 3?
- Yes
- No
No
Hint: Check the rule for 3.
Question 5
Which shows 63 as a product of prime factors?
- 3 × 3 × 2
- 3 × 3 × 7
- 9 × 7
3 × 3 × 7
Hint: Prime factors are all prime numbers. Check that the product equals the number.
Question 6
Which number is divisible by 4?
- 470
- 759
- 184
184
Hint: Use the divisibility rule for 4.