Prime Factorization of 728
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What is the Prime Factorization of 728?
or
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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Prime factors are the positive integers having only two factors - 1 and the number itself
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Prime Factorization Table
Number | Prime Factors |
---|---|
713 | 23, 31 |
714 | 2, 3, 7, 17 |
715 | 5, 11, 13 |
716 | 22 × 179 |
717 | 3, 239 |
718 | 2, 359 |
719 | 719 |
720 | 24 × 32 × 5 |
721 | 7, 103 |
722 | 2 × 192 |
723 | 3, 241 |
724 | 22 × 181 |
725 | 52 × 29 |
726 | 2 × 3 × 112 |
727 | 727 |
728 | 23 × 7 × 13 |
729 | 36 |
730 | 2, 5, 73 |
731 | 17, 43 |
732 | 22 × 3 × 61 |
733 | 733 |
734 | 2, 367 |
735 | 3 × 5 × 72 |
736 | 25 × 23 |
737 | 11, 67 |
738 | 2 × 32 × 41 |
739 | 739 |
740 | 22 × 5 × 37 |
741 | 3, 13, 19 |
742 | 2, 7, 53 |
FAQ
What is the Prime Factorization of 728?
How many prime factors does 728 have?
What is the Prime Factorization of 728 in exponential form?
See Also
- Prime factors of 716
- Prime factors of 718
- Prime factors of 719
- Prime factors of 720
- Prime factors of 721
- Prime factors of 722
- Prime factors of 723
- Prime factors of 725
- Prime factors of 726
- Prime factors of 727
- Prime factors of 729
- Prime factors of 730
- Prime factors of 732
- Prime factors of 733
- Prime factors of 735
- Prime factors of 736
- Prime factors of 738
- Prime factors of 739
- Prime factors of 740
- Prime factors of 741
- Простые множители числа 728