OpenOlympiad
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Factors & multiples — what's the difference?

A factor divides evenly into a number. Factors of 12: 1, 2, 3, 4, 6, 12.

A multiple is what you get by multiplying. Multiples of 4: 4, 8, 12, 16, 20, 24, …

Factors are a SHORT list; multiples are INFINITE.

Example
Factors of 24: {1, 2, 3, 4, 6, 8, 12, 24}.
Multiples of 24: 24, 48, 72, 96, 120… (no end).
Factors of 12:1 · 2 · 3 · 4 · 6 · 12Multiples of 4:4 · 8 · 12 · 16 · 20 · ...
💡 Tip:Find factors in pairs: 1×24, 2×12, 3×8, 4×6. Stop when pairs meet.
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🎯 Try it!

5 questions to check what you just read.

0 / 5
  1. Q1.All factors of 18:
  2. Q2.5th multiple of 8:
  3. Q3.How many factors does 16 have?
  4. Q4.Is 45 a multiple of 9?
  5. Q5.First three common multiples of 3 and 4: