Find the prime factorization of number 120393.
Answer
The prime factorization of 120393 is:
$$ 120393 = 3\cdot3\cdot3\cdot7\cdot7\cdot7\cdot13 $$Which is the same as :
$$ 120393 = 3^{3}\cdot7^{3}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 120393 can be written as 3 × 40131. |
|
| 40131 can be written as 3 × 13377. |
|
| 13377 can be written as 3 × 4459. |
|
| 4459 can be written as 7 × 637. |
|
| 637 can be written as 7 × 91. |
|
| 91 can be written as 7 × 13. |
|
| The end nodes are the prime factors of the number 120393. |
|
This page was created using
Prime factorization calculator