Factors & Multiples Calculator
Free factors and multiples calculator. Find all factors of any number, list multiples up to any count, and check divisibility instantly.
Factors & Multiples
Comprehensive Guide & Practice
Master the mathematical principles, formulas, and step-by-step methods with worked examples and FAQs.
1. What Are Factors?
A factor of a number is any whole number that divides into it exactly with no remainder. Every number has at least two factors: 1 and itself. Prime numbers have exactly two factors.
Example: Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36 (9 factors total).
2. What Are Multiples?
A multiple of a number is the result of multiplying it by any whole number. Multiples continue infinitely. Example: Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, ... (these are the 7 times table).
3. Factor Pairs
Factors come in pairs that multiply together to give the original number. For 36: (1×36), (2×18), (3×12), (4×9), (6×6). Finding factor pairs is a systematic way to list all factors.
See also: Prime Factorization | LCM & GCF Calculator | Factors & Multiples Guide