Prime Factorization of 72

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Prime Factors of

What is the Prime Factorization of 72?

Answer: Prime Factors of 72: 2, 2, 2, 3, 3

or

23 × 32

Explanation of number 72 Prime Factorization

Prime Factorization of 72 it is expressing 72 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 72.

Since number 72 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 72, we have to iteratively divide 72 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 72:

The smallest Prime Number which can divide 72 without a remainder is 2. So the first calculation step would look like:

72 ÷ 2 = 36

Now we repeat this action until the result equals 1:

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 72. It is: 2, 2, 2, 3, 3

Or you may also write it in exponential form: 23 × 32

Prime Factor Tree of 72

We may also express the prime factorization of 72 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 72? (The answer is: 2, 2, 2, 3, 3). Pick the number for factorization (e.g. '72'). 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
573, 19
582, 29
5959
6022 × 3 × 5
6161
622, 31
6332 × 7
6426
655, 13
662, 3, 11
6767
6822 × 17
693, 23
702, 5, 7
7171
7223 × 32
7373
742, 37
753 × 52
7622 × 19
777, 11
782, 3, 13
7979
8024 × 5
8134
822, 41
8383
8422 × 3 × 7
855, 17
862, 43

FAQ

What is the Prime Factorization of 72?

Prime Factors of 72: 2, 2, 2, 3, 3

How many prime factors does 72 have?

Number 72 has 5 Prime Factors

What is the Prime Factorization of 72 in exponential form?

The Prime Factorization of the number 72 in the exponential form is: 23 × 32

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