Prime Factorization of 108

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Prime Factors of

What is the Prime Factorization of 108?

Answer

Prime Factors of 108: 2, 2, 3, 3, 3

or

22 × 33

Explanation of number 108 Prime Factorization

Prime Factorization of 108 is expressing 108 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 108.

Since number 108 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 108, we have to iteratively divide 108 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 108:

The smallest Prime Number which can divide 108 without a remainder is 2. So the first calculation step would look like:

108 ÷ 2 = 54

Now we repeat this action until the result equals 1:

54 ÷ 2 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 108. It is: 2, 2, 3, 3, 3

Or you may also write it in exponential form: 22 × 33

Prime Factor Tree of 108

We may also express the prime factorization of 108 as a Factor Tree:

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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 108? (The answer is: 2, 2, 3, 3, 3). Pick the number for factorization (e.g. '108'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
933, 31
942, 47
955, 19
9625 × 3
9797
982 × 72
9932 × 11
10022 × 52
101101
1022, 3, 17
103103
10423 × 13
1053, 5, 7
1062, 53
107107
10822 × 33
109109
1102, 5, 11
1113, 37
11224 × 7
113113
1142, 3, 19
1155, 23
11622 × 29
11732 × 13
1182, 59
1197, 17
12023 × 3 × 5
121112
1222, 61

FAQ

What is the Prime Factorization of 108?

Prime Factors of 108: 2, 2, 3, 3, 3

How many prime factors does 108 have?

Number 108 has 5 Prime Factors

What is the Prime Factorization of 108 in exponential form?

The Prime Factorization of the number 108 in the exponential form is: 22 × 33

See Also