Arithmetic & Number Theory

Prime Factorization

Factor n into a product of primes.

Formula

Formula
n = p1a1 · p2a2

Variables

SymbolDefinitionType & rangeUnitsRole
n integer ≥ 2 integer (ℤ) input
pᵢ prime factors computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenn = 360
Result2 × 2 × 2 × 3 × 3 × 5
Example 2
Givenn = 97
Result97