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Factors & Indices

Every number is built from prime-number building blocks.

Prime numbersDivisibility testsFactors and multiplesSquare and cube numbersIndices

📖 Learn

Primes

Exactly two factors: 1 and itself. 2, 3, 5, 7, 11, 13… (1 is NOT prime).

Divisibility

÷3 if digits add to a multiple of 3. ÷5 ends in 0/5. ÷9 digits sum to multiple of 9.

Indices

2⁴ = 2×2×2×2 = 16. Multiply → add powers; divide → subtract powers.

Worked example

Simplify 3⁴ × 3²

  1. 1Same base → add the powers
  2. 24 + 2 = 6
  3. 3= 3⁶ ✅

⭐ Practise

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