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Factors and Multiples Worksheets

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Factor pairs to 100, is it a factor, is it a multiple, listing multiples, and printable charts of every factor from 1 to 100.

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Factor pairs

Write every factor pair of a number to 50 or to 100.

Factors and multiples

Decide whether a one-digit number is a factor of a number, whether a number is a multiple, and list multiples.

Factor charts

Every factor of every number from 1 to 100 on two reference pages, with the primes shaded.

Print at 100% (actual size) for the cleanest tracing lines.

More factors and multiples worksheets

About these factors and multiples worksheets

Factors and multiples are two views of the same multiplication fact. In 4 × 6 = 24, the numbers 4 and 6 are factors of 24, and 24 is a multiple of both 4 and 6. A factor pair is two numbers that multiply to make a number: the factor pairs of 24 are 1 × 24, 2 × 12, 3 × 8 and 4 × 6.

Finding every factor pair is a search with a stopping rule. Try 1, 2, 3 and so on in order, and stop when the pairs start to repeat (after 4 × 6 the next pair would be 6 × 4). These pages give children room for every pair, ask whether a one-digit number is a factor of a number up to 100, and practise listing multiples by skip counting.

The two factor charts list every factor of every number from 1 to 100, with the primes shaded. They make a handy reference for checking work and for spotting patterns: even numbers always have 2 as a factor, and square numbers like 36 have one pair with the same number twice.

Standards

  • CCSS.MATH.CONTENT.4.OA.B.4Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.

How to use them

  1. Start with Factor Pairs to 50, then Factor Pairs to 100.
  2. Teach the search: try each number from 1 up, and stop when the pairs start to turn around.
  3. Use Is It a Factor? and Is It a Multiple? together to show they ask the same question two ways.
  4. Keep the factor charts in a folder for checking, not for copying answers.
  5. Follow up with the prime and composite numbers pages.

Teaching tips

  • Every number has 1 and itself as a factor pair.
  • Use divisibility: even numbers have 2 as a factor, numbers ending in 0 or 5 have 5, and if the digits add to a multiple of 3, so does the number.
  • A square number like 36 has a pair that repeats (6 × 6), so it has an odd number of factors.
  • Multiples go on forever; factors stop at the number itself.

Questions teachers and parents ask

What is the difference between a factor and a multiple?

A factor divides a number with nothing left over: 6 is a factor of 24. A multiple is the result of multiplying a number by a whole number: 24 is a multiple of 6.

How do you find all the factor pairs of a number?

Start with 1 times the number, then try 2, 3, 4 and so on. Write each pair that works, and stop when the next pair would repeat one you already have.

Is a number a factor of itself?

Yes. Every whole number has 1 and itself as factors.