01
Factor and multiple swapped
The definitions were taught on the same Tuesday.
Topic hub
Factors and multiples
A factor divides a number exactly; a multiple is what you land on when you skip-count. Children mix the two words, and then LCM and HCF become four-letter spells.
Why this concept matters
Fractions (common denominators), later algebra (factoring), and a surprising number of word problems sit here.
Misconceptions, in the order we see them
02
1 and the number itself ‘don’t count’
A classroom habit that breaks HCF of primes.
03
LCM is always the bigger number
True for 4 and 8, false for 6 and 8, so the shortcut poisons the well.
Which classes cover this
Related: Fractions · Decimals · Percentages · Ratio and proportion · Integers
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