Question
Find the prime factorization of number 2744000000.
Answer
The prime factorization of 2744000000 is:
$$ 2744000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 2744000000 = 2^{9}\cdot5^{6}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2744000000 can be written as 10 × 274400000. |
|
| 10 can be written as 2 × 5. |
|
| 274400000 can be written as 10 × 27440000. |
|
| 10 can be written as 2 × 5. |
|
| 27440000 can be written as 10 × 2744000. |
|
| 10 can be written as 2 × 5. |
|
| 2744000 can be written as 10 × 274400. |
|
| 10 can be written as 2 × 5. |
|
| 274400 can be written as 10 × 27440. |
|
| 10 can be written as 2 × 5. |
|
| 27440 can be written as 10 × 2744. |
|
| 10 can be written as 2 × 5. |
|
| 2744 can be written as 2 × 1372. |
|
| 1372 can be written as 2 × 686. |
|
| 686 can be written as 2 × 343. |
|
| 343 can be written as 7 × 49. |
|
| 49 can be written as 7 × 7. |
|
| The end nodes are the prime factors of the number 2744000000. |
|
This page was created using
Prime factorization calculator