Question
Find the prime factorization of number 2798400.
Answer
The prime factorization of 2798400 is:
$$ 2798400 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot11\cdot53 $$Which is the same as :
$$ 2798400 = 2^{6}\cdot3\cdot5^{2}\cdot11\cdot53 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2798400 can be written as 10 × 279840. |
|
| 10 can be written as 2 × 5. |
|
| 279840 can be written as 10 × 27984. |
|
| 10 can be written as 2 × 5. |
|
| 27984 can be written as 2 × 13992. |
|
| 13992 can be written as 2 × 6996. |
|
| 6996 can be written as 2 × 3498. |
|
| 3498 can be written as 2 × 1749. |
|
| 1749 can be written as 3 × 583. |
|
| 583 can be written as 11 × 53. |
|
| The end nodes are the prime factors of the number 2798400. |
|
This page was created using
Prime factorization calculator