Factor any number into primes, check whether it is prime, and find how many divisors it has.
Enter the number
Enter a whole number ≥ 2. The factorization shows the number as a product of prime factors.
Standard mathematical formulas. Instant in-browser calculation, no account. Exact results, big numbers computed precisely.
Every integer greater than 1 can be uniquely written as a product of primes. Divide successively by the smallest primes until 1 remains:
360 = 2³ × 3² × 5. Number of divisors = (3+1)(2+1)(1+1) = 24. The number 360 is not prime.
It is writing a number as a product of prime numbers. For example, 360 = 2³ × 3² × 5.
A natural number greater than 1 that is divisible only by 1 and itself, for example 2, 3, 5, 7, 11, 13.
Check for divisors between 2 and its square root. If it has none, it is prime. The calculator tells you directly “Yes” or “No”.
360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5. It has 24 divisors in total.
Add 1 to each exponent and multiply the results. For 2³ × 3² × 5: (3+1)(2+1)(1+1) = 24 divisors.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29. The number 2 is the only even prime.
No. By convention, 1 is not considered prime because it has only one divisor (itself).
Simplifying fractions, computing GCD and LCM, and cryptography (security relies on how hard it is to factor large numbers).