Math & Algebra Tool
Factorization Calculator
Find all factors and the prime factorization of any integer instantly.
Σ The Formula
n = p₁ᵃ₁ × p₂ᵃ₂ × ...
Real World Examples
Standard Number
360 = 2³ × 3² × 5¹.
Perfect Square
144 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
# About This Calculator
Factorization is the process of breaking down a number into smaller integers that, when multiplied together, give the original number.
This tool provides two types of analysis:
- All Factors: Every divisor that goes into the number evenly.
- Prime Factorization: The unique set of prime numbers that multiply to the number (Fundamental Theorem of Arithmetic).
How To Use
- Enter an **Integer** to factorize.
- The **All Factors** list shows the total number of divisors.
- The **Prime Factorization** section shows the prime base and exponents.
- Use this to simplify fractions or find common multiples.
Frequently Asked Questions
What is a Prime Factor?+
A prime factor is a factor that is also a prime number (only divisible by 1 and itself).
Does every number have a unique prime factorization?+
Yes. Except for the order of factors, every positive integer greater than 1 has exactly one prime factorization.
Is Factorization Calculator free to use?+
Yes, Factorization Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Factorization Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Factorization Calculator are accurate for academic and professional use.
Can I use Factorization Calculator on my phone?+
Yes! Factorization Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
About
Factorization is the process of breaking down a number into smaller integers that, when multiplied together, give the original number.
This tool provides two types of analysis:
- All Factors: Every divisor that goes into the number evenly.
- Prime Factorization: The unique set of prime numbers that multiply to the number (Fundamental Theorem of Arithmetic).