Question
Find the prime factorization of number 297000.
Answer
The prime factorization of 297000 is:
$$ 297000 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 297000 = 2^{3}\cdot3^{3}\cdot5^{3}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 297000 can be written as 10 × 29700. |
|
| 10 can be written as 2 × 5. |
|
| 29700 can be written as 10 × 2970. |
|
| 10 can be written as 2 × 5. |
|
| 2970 can be written as 10 × 297. |
|
| 10 can be written as 2 × 5. |
|
| 297 can be written as 3 × 99. |
|
| 99 can be written as 3 × 33. |
|
| 33 can be written as 3 × 11. |
|
| The end nodes are the prime factors of the number 297000. |
|
This page was created using
Prime factorization calculator