Find prime factors of 121

Break any number into its prime factors with a complete factor tree.

Number

Answer

121 = 11²

121

Divide 121 by the smallest prime factors repeatedly:

Step 1:

121 ÷ 11 = 11

Step 2:

11 ÷ 11 = 1

Prime factorization (expanded):

121 = 11 × 11

In exponential form:

121 = 11²

How to find prime factors of 121

To find the prime factorization of 121, 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 121?
The answer is 121 = 11².

What method is used?
repeated division — divide by 2, then 3, then 5, and so on until the quotient is 1.

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