Prime Factorization of 121

What is the Prime Factorization of 121?

Answer: Prime Factors of 121: 11, 11

or

112

Explanation of number 121 Prime Factorization

Prime Factorization of 121 it is expressing 121 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 121.

Since number 121 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 121, we have to iteratively divide 121 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 121:

The smallest Prime Number which can divide 121 without a remainder is 11. So the first calculation step would look like:

121 ÷ 11 = 11

Now we repeat this action until the result equals 1:

11 ÷ 11 = 1

Now we have all the Prime Factors for number 121. It is: 11, 11

Or you may also write it in exponential form: 112

Prime Factor Tree of 121

We may also express the prime factorization of 121 as a Factor Tree:

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 121? (The answer is: 11, 11). Pick the number for factorization (e.g. '121'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
2, 53
107
22 × 33
109
2, 5, 11
3, 37
24 × 7
113
2, 3, 19
5, 23
22 × 29
32 × 13
2, 59
7, 17
23 × 3 × 5
112
2, 61
3, 41
22 × 31
53
2 × 32 × 7
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5

FAQ

What is the Prime Factorization of 121?

Prime Factors of 121: 11, 11

How many prime factors does 121 have?

Number 121 has 2 Prime Factors

What is the Prime Factorization of 121 in exponential form?

The Prime Factorization of the number 121 in the exponential form is: 112