MihsabaHow to use
Every integer above 1 has a unique prime-factor product apart from factor order. The tool uses trial division and returns the factors, exponent form and divisor count.
- Enter an integer from 2 to 10^12.
- Factor it.
- Review prime factors and exponent form.
- Review distinct-factor count, divisor count and prime/composite status.
How it is calculated
n=∏pᵢ^eᵢ; divisor count=∏(eᵢ+1)
Example
360=2³×3²×5 and has 24 positive divisors because (3+1)(2+1)(1+1)=24.
Important notes
The calculator accepts safe integers only within the stated limit. Larger integers can require more specialized factorization algorithms.
Frequently asked questions
Does a prime number have a factorization?
Yes: the number itself to exponent 1.
Why use exponent form?
It compresses repeated factors such as 2×2×2 into 2³.
How is divisor count found?
From the exponents: ∏(eᵢ+1).
Is this calculator free?
Yes. It is free to use and requires no account.