Question
Find the prime factorization of number 15000.
Answer
The prime factorization of 15000 is:
$$ 15000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 15000 = 2^{3}\cdot3\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15000 can be written as 10 × 1500. |
|
| 10 can be written as 2 × 5. |
|
| 1500 can be written as 10 × 150. |
|
| 10 can be written as 2 × 5. |
|
| 150 can be written as 10 × 15. |
|
| 10 can be written as 2 × 5. |
|
| 15 can be written as 5 × 3. |
|
| The end nodes are the prime factors of the number 15000. |
|
This page was created using
Prime factorization calculator