Back to Grade 6
Using prime factorization
Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.
Learn it From a prime factorization you can find GCF (shared primes, smaller powers), LCM (all primes, larger powers), the number of factors (add 1 to each exponent and multiply), and whether a number is a perfect square (all exponents even).
Example: $72 = 2^3 \times 3^2$. How many factors? Smallest multiplier to make a square?
- Factors: $(3 + 1)(2 + 1) = 12$.
- Exponent of 2 is odd (3); exponent of 3 is even.
- Multiply by 2: $144 = 12^2$.
Loading questions…