Question
Find the prime factorization of number 788544.
Answer
The prime factorization of 788544 is:
$$ 788544 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot37\cdot37 $$Which is the same as :
$$ 788544 = 2^{6}\cdot3^{2}\cdot37^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 788544 can be written as 2 × 394272. |
|
| 394272 can be written as 2 × 197136. |
|
| 197136 can be written as 2 × 98568. |
|
| 98568 can be written as 2 × 49284. |
|
| 49284 can be written as 2 × 24642. |
|
| 24642 can be written as 2 × 12321. |
|
| 12321 can be written as 3 × 4107. |
|
| 4107 can be written as 3 × 1369. |
|
| 1369 can be written as 37 × 37. |
|
| The end nodes are the prime factors of the number 788544. |
|
This page was created using
Prime factorization calculator