Factors and Multiples — Free KS3 Worksheet
A free, printable KS3 worksheet on factors and multiples, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from listing factors and multiples up to knowing exactly where to stop.
Factors and multiples are the same relationship looked at from two ends. 3 is a factor of 12, and 12 is a multiple of 3. Factors divide into a number and are never bigger than it. Multiples come from a number and are never smaller. Keeping those two directions straight is most of what this sheet is for.
What is on the sheet
It opens on listing the factors of a number, which is where the rectangles idea from the lesson pays off: every rectangle you can build from that many squares is a pair of factors. Then listing multiples, which is quicker but easy to start in the wrong place. The middle questions ask which of the two words applies, given a pair of numbers. The last group is a stretch on square numbers, which have an odd number of factors because one of their pairs is a number multiplied by itself.
Marking it
The factors and multiples lesson uses rectangles to make a factor pair something you can see rather than something you hunt for.
Keep going
More number properties practice
Prime Numbers — Free KS3 Worksheet
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Square and Cube Roots — Free KS3 Worksheet
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Square and Cube Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on square and cube numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from squares and cubes up to higher powers, mixed calculations and worded patio and box problems.
Want all 8 number properties worksheets at once?
One PDF, 125 questions, every answer key included, in teaching order. Every sheet in it is free on its own page too. The pack just saves you collecting them one at a time.