Find the prime factorization of number 2187.
Answer
The prime factorization of 2187 is:
$$ 2187 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3 $$Which is the same as :
$$ 2187 = 3^{7} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2187 can be written as 3 × 729. |
|
| 729 can be written as 3 × 243. |
|
| 243 can be written as 3 × 81. |
|
| 81 can be written as 3 × 27. |
|
| 27 can be written as 3 × 9. |
|
| 9 can be written as 3 × 3. |
|
| The end nodes are the prime factors of the number 2187. |
|
This page was created using
Prime factorization calculator