Find the prime factorization of number 18240.
Answer
The prime factorization of 18240 is:
$$ 18240 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot19 $$Which is the same as :
$$ 18240 = 2^{6}\cdot3\cdot5\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 18240 can be written as 10 × 1824. |
|
| 10 can be written as 2 × 5. |
|
| 1824 can be written as 2 × 912. |
|
| 912 can be written as 2 × 456. |
|
| 456 can be written as 2 × 228. |
|
| 228 can be written as 2 × 114. |
|
| 114 can be written as 2 × 57. |
|
| 57 can be written as 3 × 19. |
|
| The end nodes are the prime factors of the number 18240. |
|
This page was created using
Prime factorization calculator