Question
Find the prime factorization of number 272300400.
Answer
The prime factorization of 272300400 is:
$$ 272300400 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot19\cdot1327 $$Which is the same as :
$$ 272300400 = 2^{4}\cdot3^{3}\cdot5^{2}\cdot19\cdot1327 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 272300400 can be written as 10 × 27230040. |
|
| 10 can be written as 2 × 5. |
|
| 27230040 can be written as 10 × 2723004. |
|
| 10 can be written as 2 × 5. |
|
| 2723004 can be written as 2 × 1361502. |
|
| 1361502 can be written as 2 × 680751. |
|
| 680751 can be written as 3 × 226917. |
|
| 226917 can be written as 3 × 75639. |
|
| 75639 can be written as 3 × 25213. |
|
| 25213 can be written as 19 × 1327. |
|
| The end nodes are the prime factors of the number 272300400. |
|
This page was created using
Prime factorization calculator