Break a number into its prime factors with exponents. Enter a whole number above 1.
Prime Factorization
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Into prime powers.Usage Tip
Start dividing by 2, then 3, 5, 7, and so on — you only need primes up to the square root, with whatever is left being prime.
THE MATH
Repeatedly divide by the smallest prime until 1 remains
Divisor count = product of (each exponent + 1)
Divisor count = product of (each exponent + 1)
Every whole number above 1 has one unique set of prime factors (the fundamental theorem of arithmetic).
The factorization underlies GCF, LCM, and fraction reduction.
The factorization underlies GCF, LCM, and fraction reduction.
Exponents show repeated primes (360 = 2^3 x 3^2 x 5).
A prime number factors to just itself.
The total divisor count comes from the exponents.
A prime number factors to just itself.
The total divisor count comes from the exponents.