Question
Find the prime factorization of number 73920.
Answer
The prime factorization of 73920 is:
$$ 73920 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 73920 = 2^{6}\cdot3\cdot5\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 73920 can be written as 10 × 7392. |
|
| 10 can be written as 2 × 5. |
|
| 7392 can be written as 2 × 3696. |
|
| 3696 can be written as 2 × 1848. |
|
| 1848 can be written as 2 × 924. |
|
| 924 can be written as 2 × 462. |
|
| 462 can be written as 2 × 231. |
|
| 231 can be written as 3 × 77. |
|
| 77 can be written as 7 × 11. |
|
| The end nodes are the prime factors of the number 73920. |
|
This page was created using
Prime factorization calculator