Question
Find the prime factorization of number 83531250.
Answer
The prime factorization of 83531250 is:
$$ 83531250 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 83531250 = 2\cdot3^{5}\cdot5^{6}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 83531250 can be written as 10 × 8353125. |
|
| 10 can be written as 2 × 5. |
|
| 8353125 can be written as 5 × 1670625. |
|
| 1670625 can be written as 5 × 334125. |
|
| 334125 can be written as 5 × 66825. |
|
| 66825 can be written as 5 × 13365. |
|
| 13365 can be written as 5 × 2673. |
|
| 2673 can be written as 3 × 891. |
|
| 891 can be written as 3 × 297. |
|
| 297 can be written as 3 × 99. |
|
| 99 can be written as 3 × 33. |
|
| 33 can be written as 3 × 11. |
|
| The end nodes are the prime factors of the number 83531250. |
|
This page was created using
Prime factorization calculator