Drills

Maths drill

Factors & Primes

First find what divides into a number. Then spot the primes — the ones nothing divides into.

How it works

  • 1A factor is a number that divides in exactly — nothing left over. 10 ÷ 2 = 5 exactly, so 2 is a factor of 10. But 10 ÷ 3 leaves a bit over, so 3 is not.
  • 2Factors come in pairs that multiply back to the number: 1 × 10 and 2 × 5. So the factors of 10 are 1, 2, 5 and 10.
  • 3A prime is a number that won't split into a times fact. Its only factors are 1 and itself. 7 is prime — nothing makes 7 except 1 × 7.
  • 49 is not prime (3 × 3 = 9). 10 is not prime (2 × 5 = 10). 11 IS prime — try to split it, nothing works.
  • 5Two traps: 1 is NOT prime (it only has one factor), and 2 is the only even prime.

Worked example

Factors of 10?
1 × 10 ✓ 2 × 5 ✓ 3? no 4? no
Factors: 1, 2, 5, 10
Is 7 prime? 2? no 3? no 4? no…
Only 1 × 7 works — prime ✓