Find the prime factorization of number 9720.
Answer
The prime factorization of 9720 is:
$$ 9720 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 9720 = 2^{3}\cdot3^{5}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9720 can be written as 10 × 972. |
|
| 10 can be written as 2 × 5. |
|
| 972 can be written as 2 × 486. |
|
| 486 can be written as 2 × 243. |
|
| 243 can be written as 3 × 81. |
|
| 81 can be written as 3 × 27. |
|
| 27 can be written as 3 × 9. |
|
| 9 can be written as 3 × 3. |
|
| The end nodes are the prime factors of the number 9720. |
|
This page was created using
Prime factorization calculator