Question
Find the prime factorization of number 71250.
Answer
The prime factorization of 71250 is:
$$ 71250 = 2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 71250 = 2\cdot3\cdot5^{4}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 71250 can be written as 10 × 7125. |
|
| 10 can be written as 2 × 5. |
|
| 7125 can be written as 5 × 1425. |
|
| 1425 can be written as 5 × 285. |
|
| 285 can be written as 5 × 57. |
|
| 57 can be written as 3 × 19. |
|
| The end nodes are the prime factors of the number 71250. |
|
This page was created using
Prime factorization calculator