Question
Find the prime factorization of number 244140625.
Answer
The prime factorization of 244140625 is:
$$ 244140625 = 5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 244140625 = 5^{12} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 244140625 can be written as 5 × 48828125. |
|
| 48828125 can be written as 5 × 9765625. |
|
| 9765625 can be written as 5 × 1953125. |
|
| 1953125 can be written as 5 × 390625. |
|
| 390625 can be written as 5 × 78125. |
|
| 78125 can be written as 5 × 15625. |
|
| 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 244140625. |
|
This page was created using
Prime factorization calculator