Prime Factorization of 104

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Prime Factors of

What is the Prime Factorization of 104?

Answer: Prime Factors of 104: 2, 2, 2, 13

or

23 × 13

Explanation of number 104 Prime Factorization

Prime Factorization of 104 it is expressing 104 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 104.

Since number 104 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 104, we have to iteratively divide 104 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 104:

The smallest Prime Number which can divide 104 without a remainder is 2. So the first calculation step would look like:

104 ÷ 2 = 52

Now we repeat this action until the result equals 1:

52 ÷ 2 = 26

26 ÷ 2 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 104. It is: 2, 2, 2, 13

Or you may also write it in exponential form: 23 × 13

Prime Factor Tree of 104

We may also express the prime factorization of 104 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 104? (The answer is: 2, 2, 2, 13). Pick the number for factorization (e.g. '104'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
8989
902 × 32 × 5
917, 13
9222 × 23
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

FAQ

What is the Prime Factorization of 104?

Prime Factors of 104: 2, 2, 2, 13

How many prime factors does 104 have?

Number 104 has 4 Prime Factors

What is the Prime Factorization of 104 in exponential form?

The Prime Factorization of the number 104 in the exponential form is: 23 × 13

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