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Prime Factorization Calculator

Factor integers ≥ 2 into prime powers with trial division.

Clear formulas
Educational steps
Detail breakdown

Prime factor list and compact power notation.

Limitation: Educational factorization up to 1e12—not cryptographic scale.

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How to Use the Prime Factorization Calculator

Prime factor list and compact power notation.

1

Open the Prime Factors calculator and read field labels.

Match the mode

Educational factorization up to 1e12—not cryptographic scale.

What It Calculates

Prime factor list and compact power notation.

Worked Examples

360

Inputs

n:360

Result

2³ × 3² × 5

Classic composite.

Prime 97

Inputs

n:97

Result

97

Is prime.

100

Inputs

n:100

Result

2² × 5²

Square of 10.

Check your mode

Educational factorization up to 1e12—not cryptographic scale.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

n ​=​ ∏ p_i^{e_i}

Scientific Background

Standard core definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Prime Factorization Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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