Question
Find the prime factorization of number 126000000.
Answer
The prime factorization of 126000000 is:
$$ 126000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 126000000 = 2^{7}\cdot3^{2}\cdot5^{6}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 126000000 can be written as 10 × 12600000. |
|
| 10 can be written as 2 × 5. |
|
| 12600000 can be written as 10 × 1260000. |
|
| 10 can be written as 2 × 5. |
|
| 1260000 can be written as 10 × 126000. |
|
| 10 can be written as 2 × 5. |
|
| 126000 can be written as 10 × 12600. |
|
| 10 can be written as 2 × 5. |
|
| 12600 can be written as 10 × 1260. |
|
| 10 can be written as 2 × 5. |
|
| 1260 can be written as 10 × 126. |
|
| 10 can be written as 2 × 5. |
|
| 126 can be written as 2 × 63. |
|
| 63 can be written as 3 × 21. |
|
| 21 can be written as 3 × 7. |
|
| The end nodes are the prime factors of the number 126000000. |
|
This page was created using
Prime factorization calculator