Math

Prime checker and factorization

Check whether a number is prime and break it into prime factors.

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<iframe src="https://calc.hod-group.com/embed/?hodtool=prime&amp;hodlang=en" title="Prime checker and factorization" loading="lazy" style="width:100%;max-width:720px;height:560px;border:0;border-radius:12px" data-hodcalc></iframe>
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How it works

A prime is divisible only by 1 and itself. Every whole number is a unique product of primes (e.g. 360 = 2³ × 3² × 5).

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

Whole number360

you get:

Prime?No
Factorization360 = 2³ × 3² × 5
Number of divisors24

Frequently asked questions

How does the “Prime checker and factorization” tool work?

A prime is divisible only by 1 and itself. Every whole number is a unique product of primes (e.g. 360 = 2³ × 3² × 5).

What do I need to enter?

Just fill in: whole number. The result updates as you type.

Can you give an example?

Whole number: 360 → Prime?: No; Factorization: 360 = 2³ × 3² × 5.

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.