Question
Find the prime factorization of number 17424.
Answer
The prime factorization of 17424 is:
$$ 17424 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot11\cdot11 $$Which is the same as :
$$ 17424 = 2^{4}\cdot3^{2}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17424 can be written as 2 × 8712. |
|
| 8712 can be written as 2 × 4356. |
|
| 4356 can be written as 2 × 2178. |
|
| 2178 can be written as 2 × 1089. |
|
| 1089 can be written as 3 × 363. |
|
| 363 can be written as 3 × 121. |
|
| 121 can be written as 11 × 11. |
|
| The end nodes are the prime factors of the number 17424. |
|
This page was created using
Prime factorization calculator