Question
Find the prime factorization of number 4400.
Answer
The prime factorization of 4400 is:
$$ 4400 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 4400 = 2^{4}\cdot5^{2}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4400 can be written as 10 × 440. |
|
| 10 can be written as 2 × 5. |
|
| 440 can be written as 10 × 44. |
|
| 10 can be written as 2 × 5. |
|
| 44 can be written as 2 × 22. |
|
| 22 can be written as 2 × 11. |
|
| The end nodes are the prime factors of the number 4400. |
|
This page was created using
Prime factorization calculator