Question
Find the prime factorization of number 390624.
Answer
The prime factorization of 390624 is:
$$ 390624 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot13\cdot313 $$Which is the same as :
$$ 390624 = 2^{5}\cdot3\cdot13\cdot313 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 390624 can be written as 2 × 195312. |
|
| 195312 can be written as 2 × 97656. |
|
| 97656 can be written as 2 × 48828. |
|
| 48828 can be written as 2 × 24414. |
|
| 24414 can be written as 2 × 12207. |
|
| 12207 can be written as 3 × 4069. |
|
| 4069 can be written as 13 × 313. |
|
| The end nodes are the prime factors of the number 390624. |
|
This page was created using
Prime factorization calculator