Prime Factorization of 728

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Prime Factors of

What is the Prime Factorization of 728?

Answer: Prime Factors of 728: 2, 2, 2, 7, 13

or

23 × 7 × 13

Explanation of number 728 Prime Factorization

Prime Factorization of 728 it is expressing 728 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 728.

Since number 728 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 728, we have to iteratively divide 728 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 728:

The smallest Prime Number which can divide 728 without a remainder is 2. So the first calculation step would look like:

728 ÷ 2 = 364

Now we repeat this action until the result equals 1:

364 ÷ 2 = 182

182 ÷ 2 = 91

91 ÷ 7 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 728. It is: 2, 2, 2, 7, 13

Or you may also write it in exponential form: 23 × 7 × 13

Prime Factor Tree of 728

We may also express the prime factorization of 728 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 728? (The answer is: 2, 2, 2, 7, 13). Pick the number for factorization (e.g. '728'). 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
71323, 31
7142, 3, 7, 17
7155, 11, 13
71622 × 179
7173, 239
7182, 359
719719
72024 × 32 × 5
7217, 103
7222 × 192
7233, 241
72422 × 181
72552 × 29
7262 × 3 × 112
727727
72823 × 7 × 13
72936
7302, 5, 73
73117, 43
73222 × 3 × 61
733733
7342, 367
7353 × 5 × 72
73625 × 23
73711, 67
7382 × 32 × 41
739739
74022 × 5 × 37
7413, 13, 19
7422, 7, 53

FAQ

What is the Prime Factorization of 728?

Prime Factors of 728: 2, 2, 2, 7, 13

How many prime factors does 728 have?

Number 728 has 5 Prime Factors

What is the Prime Factorization of 728 in exponential form?

The Prime Factorization of the number 728 in the exponential form is: 23 × 7 × 13

See Also