FinanceCalcs
Factors Calculator
Find every factor of any number, shown as factor pairs. See which factors are prime, how many factors the number has in total, and some fun facts about the number.
All Factors
Factor Pairs
"The number 360 has 24 factors — more than almost any number of its size. That’s why ancient astronomers divided the circle into 360 degrees. It can be split evenly so many ways!"
What are factors?
A factor of a number is any whole number that divides into it evenly (with no remainder). For example, the factors of 12 are: 1, 2, 3, 4, 6, and 12 — because each of those divides into 12 exactly.
Factors always come in pairs that multiply together to make the original number: 1×12=12, 2×6=12, 3×4=12. The only exception is a perfect square like 36, where one pair is 6×6 — both the same number.
Every number has at least two factors: 1 and itself. Numbers with exactly two factors are prime numbers. Numbers with more than two factors are composite.
Quick Questions
What is a perfect number?
A perfect number equals the sum of all its factors except itself. The smallest perfect number is 6: factors are 1, 2, 3 → 1+2+3 = 6. The next is 28: 1+2+4+7+14 = 28. Perfect numbers are extremely rare — only 51 are known, and mathematicians aren’t sure if there are infinitely many.
What’s the difference between a factor and a multiple?
Factors go into a number; multiples are what you get when you multiply. 3 is a factor of 12 (3 goes into 12). 12 is a multiple of 3 (3 × 4 = 12). A handy way to remember: factors are smaller (usually), multiples are bigger.
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