Prime Factorization of 990

What is the Prime Factorization of 990?

Answer: Prime Factors of 990: 2, 3, 3, 5, 11

or

2 × 32 × 5 × 11

Explanation of number 990 Prime Factorization

Prime Factorization of 990 it is expressing 990 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 990.

Since number 990 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 990, we have to iteratively divide 990 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 990:

The smallest Prime Number which can divide 990 without a remainder is 2. So the first calculation step would look like:

990 ÷ 2 = 495

Now we repeat this action until the result equals 1:

495 ÷ 3 = 165

165 ÷ 3 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 990. It is: 2, 3, 3, 5, 11

Or you may also write it in exponential form: 2 × 32 × 5 × 11

Prime Factor Tree of 990

We may also express the prime factorization of 990 as a Factor Tree:

Prime factors of 990 factorization tree of 990

Prime Factorization Table

NumberPrime Factors
3 × 52 × 13
24 × 61
977
9782, 3, 163
97911, 89
22 × 5 × 72
32 × 109
9822, 491
983
98423 × 3 × 41
9855, 197
9862, 17, 29
3, 7, 47
98822 × 13 × 19
23, 43
2 × 32 × 5 × 11
991
99225 × 31
3, 331
9942, 7, 71
9955, 199
22 × 3 × 83
997
2, 499
33 × 37
23 × 53
7, 11, 13
10022, 3, 167
100317, 59
100422 × 251

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 990? (The answer is: 2, 3, 3, 5, 11). Pick the number for factorization (e.g. '990'). 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 990?

Prime Factors of 990: 2, 3, 3, 5, 11

How many prime factors does 990 have?

Number 990 has 5 Prime Factors

What is the Prime Factorization of 990 in exponential form?

The Prime Factorization of the number 990 in the exponential form is: 2 × 32 × 5 × 11