Logic Masters · Ages 11 to 12
Prime Factorisation True/False
Decide whether prime factorisation statements are correct. A Grade 7 number worksheet with answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Prime Factorisation True/False
Prime Factorisation True/False builds Grade 7 understanding of how every whole number can be written as a product of primes. Each question presents a number alongside a claimed prime factorisation, written using index notation where appropriate, and the student decides whether the factorisation is correct. Expressing numbers as products of their prime factors is a core lower-secondary expectation across the US, UK, Canada and Australia, and it is the engine behind finding HCFs and LCMs, simplifying fractions and much of number theory. The true-or-false format is ideal because it asks students to verify a factorisation rather than just produce one, which means checking both that the primes multiply back to the number and that the powers are right, a more demanding and revealing task. Mixing correct factorisations with plausible wrong ones means each statement must be tested carefully. The five levels vary the numbers so the worksheet stays fresh and reusable. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key marking each statement true or false. There is no advertising and no sign-up. Use it to secure prime factorisation or alongside our number games for the same age range.
Common questions
- What is prime factorisation?
- Writing a number as a product of its prime factors, using powers where needed.
- What grade is this for?
- Grade 7 learners aged 11 to 12.
- Is an answer key included?
- Yes, every level marks each statement true or false.
A hand for grown-ups
- Before you start
- Think of it as groups: "4 × 3" is four groups of three. Have something you can arrange into equal groups.
- While they work
- Skip-counting (3, 6, 9, 12…) is a solid way in before facts are memorised. Let them use it — speed comes later.
- Afterwards
- Spot arrays in real life together — eggs in a box, tiles on a floor. Rows-and-columns is multiplication you can see.
- Watch out for
- Treating it as harder addition and losing track. Grouping objects physically keeps the "equal groups" idea in view.
- Away from the screen
- Lay out objects in rows and columns and count them two ways. Cooking with doubled recipes is multiplication too.
Where to go next
Chosen by the skills this activity practises.