Question
Find the prime factorization of number 91125000.
Answer
The prime factorization of 91125000 is:
$$ 91125000 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 91125000 = 2^{3}\cdot3^{6}\cdot5^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 91125000 can be written as 10 × 9112500. |
|
| 10 can be written as 2 × 5. |
|
| 9112500 can be written as 10 × 911250. |
|
| 10 can be written as 2 × 5. |
|
| 911250 can be written as 10 × 91125. |
|
| 10 can be written as 2 × 5. |
|
| 91125 can be written as 5 × 18225. |
|
| 18225 can be written as 5 × 3645. |
|
| 3645 can be written as 5 × 729. |
|
| 729 can be written as 3 × 243. |
|
| 243 can be written as 3 × 81. |
|
| 81 can be written as 3 × 27. |
|
| 27 can be written as 3 × 9. |
|
| 9 can be written as 3 × 3. |
|
| The end nodes are the prime factors of the number 91125000. |
|
This page was created using
Prime factorization calculator