Prime Factorization of 738
What is the Prime Factorization of 738?
or
Explanation of number 738 Prime Factorization
Prime Factorization of 738 it is expressing 738 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 738.
Since number 738 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 738, we have to iteratively divide 738 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 738:
The smallest Prime Number which can divide 738 without a remainder is 2. So the first calculation step would look like:
738 ÷ 2 = 369
Now we repeat this action until the result equals 1:
369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
Now we have all the Prime Factors for number 738. It is: 2, 3, 3, 41
Or you may also write it in exponential form: 2 × 32 × 41
Prime Factor Tree of 738
We may also express the prime factorization of 738 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/738">Prime factors of 738 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 751 | 751 |
| 752 | 24 × 47 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself