Math PicnicFree printable practice

List the factors worksheets

Before a child can find a greatest common factor, they need to find factors at all. These free printable worksheets ask for every factor of a number — the whole numbers that divide it exactly — written out in order.

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List the factors
List the factors worksheet — Numbers to 80, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Each row gives a number and a long line, and the child lists all of its factors from one up to the number itself. Because the answer is a set rather than a single value, the task rewards a system: check each candidate in turn, and pair them up (1 and the number, 2 and its partner, and so on) so none are missed. The answer key prints the full factor list for every number.

Why this sheet works

Listing factors quietly teaches divisibility and sets up everything that follows. A child who can rattle off the factors of 24 is ready to compare two lists for a greatest common factor, to spot prime numbers — the ones with only two factors — and to see why some numbers break into many pieces and others into few.

How this one works

One question from this sheet, worked through a step at a time.

Factors of 19

19
so far:119
so far:119
  1. Factors come in PAIRS — every one you find hands you a second. So work in from both ends rather than trying every number in turn.
  2. 1 × 19 = 19, so 1 and 19 are both factors.
  3. The pair has met in the middle, so the list is finished: 1, 19. 2 factors.

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