Question
Find the prime factorization of number 8125.
Answer
The prime factorization of 8125 is:
$$ 8125 = 5\cdot5\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 8125 = 5^{4}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8125 can be written as 5 × 1625. |
|
| 1625 can be written as 5 × 325. |
|
| 325 can be written as 5 × 65. |
|
| 65 can be written as 5 × 13. |
|
| The end nodes are the prime factors of the number 8125. |
|
This page was created using
Prime factorization calculator