Question
Find the prime factorization of number 1404.
Answer
The prime factorization of 1404 is:
$$ 1404 = 2\cdot2\cdot3\cdot3\cdot3\cdot13 $$Which is the same as :
$$ 1404 = 2^{2}\cdot3^{3}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1404 can be written as 2 × 702. |
|
| 702 can be written as 2 × 351. |
|
| 351 can be written as 3 × 117. |
|
| 117 can be written as 3 × 39. |
|
| 39 can be written as 3 × 13. |
|
| The end nodes are the prime factors of the number 1404. |
|
This page was created using
Prime factorization calculator