Question
Find the prime factorization of number 13000.
Answer
The prime factorization of 13000 is:
$$ 13000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 13000 = 2^{3}\cdot5^{3}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 13000 can be written as 10 × 1300. |
|
| 10 can be written as 2 × 5. |
|
| 1300 can be written as 10 × 130. |
|
| 10 can be written as 2 × 5. |
|
| 130 can be written as 10 × 13. |
|
| 10 can be written as 2 × 5. |
|
| The end nodes are the prime factors of the number 13000. |
|
This page was created using
Prime factorization calculator