Prime Factorization of 729
What is the Prime Factorization of 729?
or
Explanation of number 729 Prime Factorization
Prime Factorization of 729 it is expressing 729 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 729.
Since number 729 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 729, we have to iteratively divide 729 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 729:
The smallest Prime Number which can divide 729 without a remainder is 3. So the first calculation step would look like:
729 ÷ 3 = 243
Now we repeat this action until the result equals 1:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 729. It is: 3, 3, 3, 3, 3, 3
Or you may also write it in exponential form: 36
Prime Factor Tree of 729
We may also express the prime factorization of 729 as a Factor Tree:
Related Calculations
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
<a href="https://calculat.io/en/number/prime-factors-of/729">Prime factors of 729 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself