Question
Find the prime factorization of number 147000.
Answer
The prime factorization of 147000 is:
$$ 147000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 147000 = 2^{3}\cdot3\cdot5^{3}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 147000 can be written as 10 × 14700. |
|
| 10 can be written as 2 × 5. |
|
| 14700 can be written as 10 × 1470. |
|
| 10 can be written as 2 × 5. |
|
| 1470 can be written as 10 × 147. |
|
| 10 can be written as 2 × 5. |
|
| 147 can be written as 3 × 49. |
|
| 49 can be written as 7 × 7. |
|
| The end nodes are the prime factors of the number 147000. |
|
This page was created using
Prime factorization calculator