Question
Find the prime factorization of number 18496.
Answer
The prime factorization of 18496 is:
$$ 18496 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot17\cdot17 $$Which is the same as :
$$ 18496 = 2^{6}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 18496 can be written as 2 × 9248. |
|
| 9248 can be written as 2 × 4624. |
|
| 4624 can be written as 2 × 2312. |
|
| 2312 can be written as 2 × 1156. |
|
| 1156 can be written as 2 × 578. |
|
| 578 can be written as 2 × 289. |
|
| 289 can be written as 17 × 17. |
|
| The end nodes are the prime factors of the number 18496. |
|
This page was created using
Prime factorization calculator