Exponential Form (Prime Factorization) Calculator

The Exponential Form Calculator writes a whole number as a product of prime powers, such as 72 = 2³ × 3². Enter a whole number greater than 1.

Formula

Factor into primes, then group repeated primes as powers
  • Every integer greater than 1 has a unique prime factorization.
  • Repeated prime factors are written as a power, e.g. 2 × 2 × 2 = 2³.

72

Inputs
  • Number: 72

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3².

Frequently asked questions

What is exponential form of a number?
Its prime factorization written with exponents, such as 72 = 2³ × 3².