Prime Factorization of 720
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What is the Prime Factorization of 720?
or
Explanation of number 720 Prime Factorization
Prime Factorization of 720 it is expressing 720 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 720.
Since number 720 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 720, we have to iteratively divide 720 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 720:
The smallest Prime Number which can divide 720 without a remainder is 2. So the first calculation step would look like:
720 ÷ 2 = 360
Now we repeat this action until the result equals 1:
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 720. It is: 2, 2, 2, 2, 3, 3, 5
Or you may also write it in exponential form: 24 × 32 × 5
Prime Factor Tree of 720
We may also express the prime factorization of 720 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 |
---|---|
705 | 3, 5, 47 |
706 | 2, 353 |
707 | 7, 101 |
708 | 22 × 3 × 59 |
709 | 709 |
710 | 2, 5, 71 |
711 | 32 × 79 |
712 | 23 × 89 |
713 | 23, 31 |
714 | 2, 3, 7, 17 |
715 | 5, 11, 13 |
716 | 22 × 179 |
717 | 3, 239 |
718 | 2, 359 |
719 | 719 |
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 |
FAQ
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See Also
- Prime factors of 709
- Prime factors of 710
- Prime factors of 711
- Prime factors of 712
- Prime factors of 713
- Prime factors of 714
- Prime factors of 715
- Prime factors of 716
- Prime factors of 718
- Prime factors of 719
- Prime factors of 721
- 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
- Простые множители числа 720