Factors of a Number
List all Factors and Factor Pairs of a Number
"Factors of a Number" Calculator
How to Find All Factors of a Number
How to find all factors of 24
4 pairs: 1 × 24 · 2 × 12 · 3 × 8 · 4 × 6
Past √24 ≈ 4.90 every pair would repeat one already found — so checking stops at 4.
Rule: divide by 1, 2, 3, … up to √N. Every exact division gives a pair d and N/d; if they are the same (a perfect square), the factor is written once.
See Also
- Prime Number Checker - Find out whether a given number is Prime or not
- Prime Factorization - Prime Factorization Calculator
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
FAQ
What is a factor of a number?
A factor of a number is a positive integer that divides it exactly, with no remainder. For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
What is a factor pair?
A factor pair is two factors that multiply together to give the original number. For 24, the factor pairs are (1, 24), (2, 12), (3, 8) and (4, 6).
How do you find all factors of a number?
Check every whole number from 1 up to the square root of the number. Each time one divides evenly, both it and the paired quotient are factors — this trial-division method finds the complete list without testing every number up to n.