Prime Factorization of 735
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What is the Prime Factorization of 735?
or
Explanation of number 735 Prime Factorization
Prime Factorization of 735 it is expressing 735 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 735.
Since number 735 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 735, we have to iteratively divide 735 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 735:
The smallest Prime Number which can divide 735 without a remainder is 3. So the first calculation step would look like:
735 ÷ 3 = 245
Now we repeat this action until the result equals 1:
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 735. It is: 3, 5, 7, 7
Or you may also write it in exponential form: 3 × 5 × 72
Prime Factor Tree of 735
We may also express the prime factorization of 735 as a Factor Tree:
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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 |
---|---|
720 | 24 × 32 × 5 |
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 |
FAQ
What is the Prime Factorization of 735?
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See Also
- Prime factors of 722
- Prime factors of 723
- Prime factors of 725
- Prime factors of 726
- Prime factors of 727
- Prime factors of 728
- Prime factors of 729
- Prime factors of 730
- Prime factors of 732
- Prime factors of 733
- Prime factors of 736
- Prime factors of 738
- Prime factors of 739
- Prime factors of 740
- Prime factors of 741
- Prime factors of 745
- Prime factors of 747
- Prime factors of 748
- Prime factors of 749
- Prime factors of 750
- Простые множители числа 735