Find prime factors of 315
Break any number into its prime factors with a complete factor tree.
315
Divide 315 by the smallest prime factors repeatedly:
Step 1: Is 315 divisible by 3?
digit sum = 9 (divisible by 3)
315 ÷ 3 = 105
Step 2: Is 105 divisible by 3?
digit sum = 6 (divisible by 3)
105 ÷ 3 = 35
Step 3: Is 35 divisible by 5?
last digit is 5 (0 or 5)
35 ÷ 5 = 7
Step 4:
7 ÷ 7 = 1
Prime factorization (expanded):
315 = 3 × 3 × 5 × 7
In exponential form:
315 = 32 × 5 × 7
315 = 32 × 5 × 7
How to find prime factors of 315
To find the prime factorization of 315, 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 315?
The answer is 315 = 3² × 5 × 7.
What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.