Question
Find the prime factorization of number 36540.
Answer
The prime factorization of 36540 is:
$$ 36540 = 2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot29 $$Which is the same as :
$$ 36540 = 2^{2}\cdot3^{2}\cdot5\cdot7\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 36540 can be written as 10 × 3654. |
|
| 10 can be written as 2 × 5. |
|
| 3654 can be written as 2 × 1827. |
|
| 1827 can be written as 3 × 609. |
|
| 609 can be written as 3 × 203. |
|
| 203 can be written as 7 × 29. |
|
| The end nodes are the prime factors of the number 36540. |
|
This page was created using
Prime factorization calculator