Find prime factors of 12321
Break any number into its prime factors with a complete factor tree.
12321
Divide 12321 by the smallest prime factors repeatedly:
Step 1: Is 12321 divisible by 3?
digit sum = 9 (divisible by 3)
12321 ÷ 3 = 4107
Step 2: Is 4107 divisible by 3?
digit sum = 12 (divisible by 3)
4107 ÷ 3 = 1369
Step 3:
1369 ÷ 37 = 37
Step 4:
37 ÷ 37 = 1
Prime factorization (expanded):
12321 = 3 × 3 × 37 × 37
In exponential form:
12321 = 32 × 372
12321 = 32 × 372
How to find prime factors of 12321
To find the prime factorization of 12321, start dividing by the smallest prime factor (2), then try 3, 5, 7, and so on until the quotient is 1. Each prime factor and its power make up the factorization.
This is a prime factorization — every integer greater than 1 has a unique prime factorization. We find it by dividing by the smallest primes.
Frequently asked questions
What is the answer to 12321?
The answer is 12321 = 3² × 37².
What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.