Prime Factorization of 736
What is the Prime Factorization of 736?
or
Explanation of number 736 Prime Factorization
Prime Factorization of 736 it is expressing 736 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 736.
Since number 736 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 736, we have to iteratively divide 736 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 736:
The smallest Prime Number which can divide 736 without a remainder is 2. So the first calculation step would look like:
736 ÷ 2 = 368
Now we repeat this action until the result equals 1:
368 ÷ 2 = 184
184 ÷ 2 = 92
92 ÷ 2 = 46
46 ÷ 2 = 23
23 ÷ 23 = 1
Now we have all the Prime Factors for number 736. It is: 2, 2, 2, 2, 2, 23
Or you may also write it in exponential form: 25 × 23
Prime Factor Tree of 736
We may also express the prime factorization of 736 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/736">Prime factors of 736 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 743 | 743 |
| 744 | 23 × 3 × 31 |
| 745 | 5, 149 |
| 746 | 2, 373 |
| 747 | 32 × 83 |
| 748 | 22 × 11 × 17 |
| 749 | 7, 107 |
| 750 | 2 × 3 × 53 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself