Question
Find the prime factorization of number 270000.
Answer
The prime factorization of 270000 is:
$$ 270000 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 270000 = 2^{4}\cdot3^{3}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 270000 can be written as 10 × 27000. |
|
| 10 can be written as 2 × 5. |
|
| 27000 can be written as 10 × 2700. |
|
| 10 can be written as 2 × 5. |
|
| 2700 can be written as 10 × 270. |
|
| 10 can be written as 2 × 5. |
|
| 270 can be written as 10 × 27. |
|
| 10 can be written as 2 × 5. |
|
| 27 can be written as 3 × 9. |
|
| 9 can be written as 3 × 3. |
|
| The end nodes are the prime factors of the number 270000. |
|
This page was created using
Prime factorization calculator