Question
Find the prime factorization of number 9797760.
Answer
The prime factorization of 9797760 is:
$$ 9797760 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot7 $$Which is the same as :
$$ 9797760 = 2^{7}\cdot3^{7}\cdot5\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9797760 can be written as 10 × 979776. |
|
| 10 can be written as 2 × 5. |
|
| 979776 can be written as 2 × 489888. |
|
| 489888 can be written as 2 × 244944. |
|
| 244944 can be written as 2 × 122472. |
|
| 122472 can be written as 2 × 61236. |
|
| 61236 can be written as 2 × 30618. |
|
| 30618 can be written as 2 × 15309. |
|
| 15309 can be written as 3 × 5103. |
|
| 5103 can be written as 3 × 1701. |
|
| 1701 can be written as 3 × 567. |
|
| 567 can be written as 3 × 189. |
|
| 189 can be written as 3 × 63. |
|
| 63 can be written as 3 × 21. |
|
| 21 can be written as 3 × 7. |
|
| The end nodes are the prime factors of the number 9797760. |
|
This page was created using
Prime factorization calculator