Question
Find the prime factorization of number 8640.
Answer
The prime factorization of 8640 is:
$$ 8640 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 8640 = 2^{6}\cdot3^{3}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8640 can be written as 10 × 864. |
|
| 10 can be written as 2 × 5. |
|
| 864 can be written as 2 × 432. |
|
| 432 can be written as 2 × 216. |
|
| 216 can be written as 2 × 108. |
|
| 108 can be written as 2 × 54. |
|
| 54 can be written as 2 × 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 8640. |
|
This page was created using
Prime factorization calculator