Factors & Multiples Practice
20 questions · 60 seconds · factors, multiples & factor counts
Free · no login · instant feedback on every answer
Build the number sense underneath fractions and division: factors and multiples. Twenty questions in sixty seconds mix four shapes — spot which number is a factor of 24, count how many factors 36 has, name the 4th multiple of 6, and pick out which number is a multiple of 8 — with instant feedback on every answer.
Factors and multiples are the times tables looked at from the other direction: instead of asking what 6 × 4 makes, they ask what 24 is made of. That reversal is exactly what simplifying fractions, finding common denominators, and long division all depend on, so a student who can pull the factors out of a number at a glance has a head start on every one of those skills.
Tips That Make It Stick
- Hunt for factors in pairs. Factors come two at a time: if 3 goes into 24, then so does 24 ÷ 3 = 8. Walking up from 1 and writing each pair (1 and 24, 2 and 12, 3 and 8, 4 and 6) finds every factor without missing one.
- Multiples are skip counting. The 4th multiple of 6 is just four skips: 6, 12, 18, 24. Any multiple question turns back into a times-table fact — the nth multiple of k is simply n × k.
- Test divisibility, not guesses. To check whether 7 is a factor of 52, divide: 52 ÷ 7 leaves a remainder, so it is not. A number is a factor exactly when the division comes out even, with nothing left over.
Frequently Asked Questions
What is the difference between a factor and a multiple?
Factors divide into a number evenly; multiples are what a number makes when multiplied. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the multiples of 12 are 12, 24, 36, and so on. Factors are always at most the number itself; multiples are always at least it.
What grade learns factors and multiples?
Finding factor pairs and multiples is a 4th grade skill, where students also classify numbers as prime or composite. 5th and 6th grade build on it with greatest common factor and least common multiple for fraction work.
How do you find all the factors of a number?
Check each whole number starting from 1: if it divides evenly, write it down together with its partner (the quotient). Stop once the two numbers in the pair meet in the middle — for 36 that is 6 × 6 — and you have the complete list.
📝 Matching Printable Worksheets
Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key: