Prime Factorization of 742
"Prime Factorization" Calculator
What is the Prime Factorization of 742?
Explanation of number 742 Prime Factorization
Prime Factorization of 742 it is expressing 742 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 742.
Since number 742 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 742, we have to iteratively divide 742 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 742:
The smallest Prime Number which can divide 742 without a remainder is 2. So the first calculation step would look like:
742 ÷ 2 = 371
Now we repeat this action until the result equals 1:
371 ÷ 7 = 53
53 ÷ 53 = 1
Now we have all the Prime Factors for number 742. It is: 2, 7, 53
Prime Factor Tree of 742
We may also express the prime factorization of 742 as a Factor Tree:
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See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
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 |
|---|---|
| 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 |
| 755 | 5, 151 |
| 756 | 22 × 33 × 7 |
FAQ
What is the Prime Factorization of 742?
How many prime factors does 742 have?
See Also
- Prime factors of 730
- Prime factors of 732
- Prime factors of 733
- Prime factors of 735
- Prime factors of 736
- Prime factors of 737
- Prime factors of 738
- Prime factors of 739
- Prime factors of 740
- Prime factors of 741
- Prime factors of 743
- Prime factors of 744
- Prime factors of 745
- Prime factors of 746
- Prime factors of 748
- Prime factors of 749
- Prime factors of 750
- Prime factors of 753
- Prime factors of 755
- Prime factors of 756
- Простые множители числа 742