Prime Factorization of 99

What is the Prime Factorization of 99?

Answer: Prime Factors of 99: 3, 3, 11

or

32 × 11

Explanation of number 99 Prime Factorization

Prime Factorization of 99 it is expressing 99 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 99.

Since number 99 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 99, we have to iteratively divide 99 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 99:

The smallest Prime Number which can divide 99 without a remainder is 3. So the first calculation step would look like:

99 ÷ 3 = 33

Now we repeat this action until the result equals 1:

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 99. It is: 3, 3, 11

Or you may also write it in exponential form: 32 × 11

Prime Factor Tree of 99

We may also express the prime factorization of 99 as a Factor Tree:

Prime factors of 99 factorization tree of 99

Prime Factorization Table

NumberPrime Factors
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72
32 × 11
22 × 52
101
2, 3, 17
103
23 × 13
3, 5, 7
2, 53
107
22 × 33
109
2, 5, 11
3, 37
24 × 7
113

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 99? (The answer is: 3, 3, 11). Pick the number for factorization (e.g. '99'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 99?

Prime Factors of 99: 3, 3, 11

How many prime factors does 99 have?

Number 99 has 3 Prime Factors

What is the Prime Factorization of 99 in exponential form?

The Prime Factorization of the number 99 in the exponential form is: 32 × 11