Find prime factors of 561
Break any number into its prime factors with a complete factor tree.
561
Divide 561 by the smallest prime factors repeatedly:
Step 1: Is 561 divisible by 3?
digit sum = 12 (divisible by 3)
561 ÷ 3 = 187
Step 2:
187 ÷ 11 = 17
Step 3:
17 ÷ 17 = 1
Prime factorization (expanded):
561 = 3 × 11 × 17
561 = 3 × 11 × 17
How to find prime factors of 561
To find the prime factorization of 561, 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 561?
The answer is 561 = 3 × 11 × 17.
What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.