Question
Find the prime factorization of number 187200.
Answer
The prime factorization of 187200 is:
$$ 187200 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 187200 = 2^{6}\cdot3^{2}\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 187200 can be written as 10 × 18720. |
|
| 10 can be written as 2 × 5. |
|
| 18720 can be written as 10 × 1872. |
|
| 10 can be written as 2 × 5. |
|
| 1872 can be written as 2 × 936. |
|
| 936 can be written as 2 × 468. |
|
| 468 can be written as 2 × 234. |
|
| 234 can be written as 2 × 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 187200. |
|
This page was created using
Prime factorization calculator