Question
Find the prime factorization of number 15625.
Answer
The prime factorization of 15625 is:
$$ 15625 = 5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 15625 = 5^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15625 can be written as 5 × 3125. |
|
| 3125 can be written as 5 × 625. |
|
| 625 can be written as 5 × 125. |
|
| 125 can be written as 5 × 25. |
|
| 25 can be written as 5 × 5. |
|
| The end nodes are the prime factors of the number 15625. |
|
This page was created using
Prime factorization calculator