Prime Factorization of 740
What is the Prime Factorization of 740?
or
Explanation of number 740 Prime Factorization
Prime Factorization of 740 it is expressing 740 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 740.
Since number 740 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 740, we have to iteratively divide 740 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 740:
The smallest Prime Number which can divide 740 without a remainder is 2. So the first calculation step would look like:
740 ÷ 2 = 370
Now we repeat this action until the result equals 1:
370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Now we have all the Prime Factors for number 740. It is: 2, 2, 5, 37
Or you may also write it in exponential form: 22 × 5 × 37
Prime Factor Tree of 740
We may also express the prime factorization of 740 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/740">Prime factors of 740 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 753 | 3, 251 |
| 754 | 2, 13, 29 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself