Prime Factorization of 748
What is the Prime Factorization of 748?
or
Explanation of number 748 Prime Factorization
Prime Factorization of 748 it is expressing 748 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 748.
Since number 748 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 748, we have to iteratively divide 748 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 748:
The smallest Prime Number which can divide 748 without a remainder is 2. So the first calculation step would look like:
748 ÷ 2 = 374
Now we repeat this action until the result equals 1:
374 ÷ 2 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 748. It is: 2, 2, 11, 17
Or you may also write it in exponential form: 22 × 11 × 17
Prime Factor Tree of 748
We may also express the prime factorization of 748 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/748">Prime factors of 748 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 755 | 5, 151 |
| 756 | 22 × 33 × 7 |
| 757 | 757 |
| 758 | 2, 379 |
| 759 | 3, 11, 23 |
| 760 | 23 × 5 × 19 |
| 761 | 761 |
| 762 | 2, 3, 127 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself