Question
Find the prime factorization of number 36872.
Answer
The prime factorization of 36872 is:
$$ 36872 = 2\cdot2\cdot2\cdot11\cdot419 $$Which is the same as :
$$ 36872 = 2^{3}\cdot11\cdot419 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 36872 can be written as 2 × 18436. |
|
| 18436 can be written as 2 × 9218. |
|
| 9218 can be written as 2 × 4609. |
|
| 4609 can be written as 11 × 419. |
|
| The end nodes are the prime factors of the number 36872. |
|
This page was created using
Prime factorization calculator