Question
Find the prime factorization of number 15200.
Answer
The prime factorization of 15200 is:
$$ 15200 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 15200 = 2^{5}\cdot5^{2}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15200 can be written as 10 × 1520. |
|
| 10 can be written as 2 × 5. |
|
| 1520 can be written as 10 × 152. |
|
| 10 can be written as 2 × 5. |
|
| 152 can be written as 2 × 76. |
|
| 76 can be written as 2 × 38. |
|
| 38 can be written as 2 × 19. |
|
| The end nodes are the prime factors of the number 15200. |
|
This page was created using
Prime factorization calculator