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MATH & SCIENCE

Prime Factorization of 360

The full prime factor breakdown of 360, free and instant.

About this tool

Every whole number greater than 1 breaks down into a unique product of prime numbers — this is the Fundamental Theorem of Arithmetic. This tool finds that breakdown by repeatedly dividing by the smallest prime that divides evenly, continuing until only 1 remains.

The result is shown both as a list of prime factors and in exponent notation (e.g. 360 = 2³ × 3² × 5), which is the standard way factorizations are written once a prime repeats.

Frequently asked questions

What if the number itself is prime?

Then its only prime factor is itself — the tool shows this directly rather than an empty or confusing result.

How large a number can this factor?

This uses trial division, which stays fast for numbers up to several million but slows down for very large numbers with large prime factors — it’s built for typical classroom-sized numbers, not cryptographic-scale factoring.

Is this the same as the Prime Number Checker?

No — that tool answers "is this number prime?" This one breaks a composite number down into which primes multiply together to make it.

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