Find prime factors of 1001
Break any number into its prime factors with a complete factor tree.
1001
Divide 1001 by the smallest prime factors repeatedly:
Step 1:
1001 ÷ 7 = 143
Step 2:
143 ÷ 11 = 13
Step 3:
13 ÷ 13 = 1
Prime factorization (expanded):
1001 = 7 × 11 × 13
1001 = 7 × 11 × 13
How to find prime factors of 1001
To find the prime factorization of 1001, 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 1001?
The answer is 1001 = 7 × 11 × 13.
What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.