Exact browser-local math

Prime Factorization Calculator

Break one positive integer into the prime numbers whose product equals the original value. This is distinct from finding a GCF across multiple integers.

Enter values and calculate.

Method

The calculator divides out 2, then tests odd possible factors through the square root of the remaining value. Each successful division is recorded; any remainder greater than one is prime. Repeated factors are grouped with exponents.

Worked example

360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5. A prime input such as 97 has the one-factor result 97.

Limits and assumptions

Input must be an integer from 2 through 1,000,000,000,000. The bounded range keeps worst-case trial division responsive in a browser. GCF Calculator owns common-factor work across lists; Prime Number Calculator answers only whether an integer is prime.

Exactness and privacy

Supported integer calculations use BigInt and validated text, not floating-point Number conversion. Results are rendered as inert text. This educational calculator does not send calculation values to a server or make professional decisions for you.