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Factors & Multiples Practice

Free, interactive practice for prime numbers, factors, multiples, GCF and LCM — grades 4–6. Play a mixed review here or pick a skill below.

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Practice all of factors & multiples

This mixed review blends prime checks, factor/multiple questions and GCF/LCM so the related ideas reinforce each other.

How these connect

Factors and multiples are two sides of the same coin: 3 is a factor of 12, and 12 is a multiple of 3. Start with Factors & Multiples and Prime Numbers, then GCF and LCM, which use factors and multiples directly. GCF is the key to simplifying fractions and LCM to adding fractions with unlike denominators, so this topic pays off across the fraction work too.

By grade

  • Grade 4: factors, multiples and prime vs composite.
  • Grade 6: greatest common factor and least common multiple.

Common mistakes, and how to help

Children often mix up factors and multiples — factors are the numbers that divide in (and are never bigger than the number), multiples are what you get counting up (and are never smaller). For GCF vs LCM, remember GCF is a factor (so it’s small) and LCM is a multiple (so it’s larger). Listing them out before answering avoids most errors.

Choose a skill

Factors & MultiplesGrade 4Tell a factor from a multiple of a number. Prime NumbersGrade 4–6Decide whether a number is prime or composite. Greatest Common FactorGrade 6Find the GCF of two numbers. Least Common MultipleGrade 6Find the LCM of two numbers.
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Frequently asked questions

Is this practice free?

Yes — all practice and worksheets are free, no sign-up, and no ads inside the practice.

What’s the difference between a factor and a multiple?

A factor divides evenly into a number (3 is a factor of 12); a multiple is what you get by counting up in that number (12 is a multiple of 3).

What is a prime number?

A whole number greater than 1 with exactly two factors, 1 and itself — like 2, 3, 5, 7 and 11.

What is the GCF?

The greatest common factor — the largest number that divides two numbers evenly. It’s used to simplify fractions.

What is the LCM?

The least common multiple — the smallest number both numbers divide into. It’s used to add fractions with unlike denominators.

Can I print worksheets?

Yes — each skill page has a print button for a fresh 20-question sheet with an answer key.

Keep practising

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