Primes, Prime Factorization & Divisors
Local ProcessingDecompose any positive integer into its canonical prime factor powers.
How It Works & Processing Standards
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Four prime-related calculations in one tool. Choose one under "Calculation" and enter an integer.
What You Can Do
- Prime factorization
- Writes a number as a product of prime powers, like 360 = 2³ × 3² × 5.
- Prime check
- Checks that nothing but 1 and itself divides it.
- Divisors
- Lists every divisor in ascending order.
- Primes in a range
- Finds all primes between a minimum and maximum.
How to Use Primes, Prime Factorization & Divisors
- 1Choose a calculationPick one of the four.
- 2Enter an integerFor primes in a range, enter a minimum and maximum.
- 3Read and copyLists are copied as comma-separated values.
Examples
Factor 360
Input: n 360
Result: 2³ × 3² × 5
Is 97 prime?
Input: n 97 (prime check)
Result: True (true)
Divisors of 36
Input: n 36 (divisors)
Result: 1, 2, 3, 4, 6, 9, 12, 18, 36
Primes from 10 to 40
Input: Min 10, max 40
Result: 11, 13, 17, 19, 23, 29, 31, 37
Common Use Cases
- Double-checking a GCD or LCM through factorization
- Checking math homework or coding test answers
- Choosing batch sizes from the number of divisors
Frequently Asked Questions (FAQ)
Is 1 a prime?
No. A prime is an integer of 2 or more with exactly two divisors, 1 and itself.
How large can the number be?
Factorization accepts integers from 2 to 2^53 − 1. Very large numbers can take a while.