Prime Factor
Factory

Section 7G - Number Processing

Quota
0

SHIFT BRIEFING

Worker, we have crates of numbers incoming.

Your Tasks:
1. Identify Primes vs Composites.
2. Find Factors and Multiples.
3. Calculate HCF and LCM.
4. Break numbers into Prime Factors.

Prime Factor Factory: Assembly Line

Processing Raw Numbers

Production Halted! The factory floor is overflowing with raw integers. As the Foreman of Prime Factor Factory, you must sort the Primes from the Composites and break them down into their atomic parts.

This game industrializes the abstract concepts of Factors and Multiples. Instead of dry lists, you're operating heavy machinery to crush numbers into their building blocks.

🏭 Operational Manual (Key Concepts)

  • factors: Numbers that divide exactly into another (e.g., factors of 12: 1, 2, 3, 4, 6, 12).
  • Common Factors: Numbers that are factors of two different numbers.
  • Primes: Numbers with exactly two factors (1 and themselves). The "atoms" of maths.
  • Prime Factorisation: Breaking a number down until only primes are left (e.g., 12 = 2 × 2 × 3).

Safety Inspector Report (Year 6)

Identification Identify common factors, common multiples and prime numbers.
Vocabulary Use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers.

👨‍👩‍👧 Foreman's Advice

How to spot a prime:

  • "If it's even and bigger than 2, it's NOT prime."
  • "If the digits add up to a multiple of 3 (e.g., 51 -> 6), it divides by 3. NOT prime. (Except 3 itself)."