Find the prime factorization of number 972.
Answer
The prime factorization of 972 is:
$$ 972 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3 $$Which is the same as :
$$ 972 = 2^{2}\cdot3^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 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 972. |
|
This page was created using
Prime factorization calculator