Prime Factorization Calculator

Use our free prime factorization calculator to break down any integer into its prime factors, shown with exponential notation.

Math

Number

Formula

Prime factorization expresses a number as a product of its prime factors. The Fundamental Theorem of Arithmetic guarantees this is unique.

Every integer > 1 can be uniquely expressed as a product of prime numbers.

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter an integer ≥ 2.
2The calculator divides by prime numbers starting from 2.
3The result shows factors and exponential notation.

Examples

84

1.84 ÷ 2 = 42
2.42 ÷ 2 = 21
3.21 ÷ 3 = 7
4.7 ÷ 7 = 1
5.84 = 2² × 3 × 7

Result: 2² × 3 × 7

100

1.100 ÷ 2 = 50
2.50 ÷ 2 = 25
3.25 ÷ 5 = 5
4.5 ÷ 5 = 1
5.100 = 2² × 5²

Result: 2² × 5²

Frequently Asked Questions

Writing a number as a product of prime numbers.

Yes, the Fundamental Theorem of Arithmetic guarantees uniqueness.

The calculator uses the absolute value.

Repeated primes are shown with exponents, e.g., 2³ for 2×2×2.

Works for numbers up to ~10 million.

Related Calculators

Prime Number Calculator Factors Calculator LCM Calculator Multiples Calculator Percentage Calculator Basic Calculator

CalculateMe Team

Last updated: 2026-07-14

Prime Factorization Calculator

Formula

How It Works

Examples

84

100

Frequently Asked Questions

What is prime factorization?

Is it unique?

What about negative numbers?

What is exponential notation?

Large numbers?

Related Calculators

Prime Factorization Calculator

Formula

How It Works

Examples

84

100

Frequently Asked Questions

What is prime factorization?

Is it unique?

What about negative numbers?

What is exponential notation?

Large numbers?

Related Calculators