Prime Factorization Calculator
Break a whole number into its prime factors and see the factorization in expanded form, exponent form, factor pairs, and calculation steps.
Results
Prime factorization
—
Expanded form
—
Number type
—
Total positive factors
—
Input number
—
All positive factors
—
Factor pairs
—
Calculation details
Use this Prime Factorization Calculator to break a whole number into prime factors. It also shows expanded form, exponent form, factor pairs, and positive factors.
Calculation Method
Divide the number repeatedly by the smallest prime number that divides it evenly. Continue until the remaining quotient is prime.
Example
Find the prime factorization of 360:
360 = 2 × 180
= 2 × 2 × 90
= 2 × 2 × 2 × 45
= 2 × 2 × 2 × 3 × 3 × 5
In exponent form:
360 = 2³ × 3² × 5
Important Note
A prime number has only two positive factors: 1 and itself. The number 1 is neither prime nor composite.