š Math
Prime Factorization Calculator
Find all the prime numbers that multiply together to make a given composite number. Also known as prime decomposition.
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Formula
N = pā^aā Ć pā^aā Ć ... Ć pā^aāp- A prime factor
a- The exponent (number of times the factor appears)
Example
Finding Prime Factors
Find the prime factorization of 60.
- Divide by the smallest prime, 2: 60 / 2 = 30.
- Divide by 2 again: 30 / 2 = 15.
- 15 is not divisible by 2. Try the next prime, 3: 15 / 3 = 5.
- 5 is a prime number, so we are done.
- Result: 2 Ć 2 Ć 3 Ć 5 (or 2Ā² Ć 3 Ć 5).
Frequently Asked Questions
A prime number is a whole number greater than 1 whose only divisors are 1 and itself (e.g., 2, 3, 5, 7, 11).