Question
Find the prime factorization of number 3400.
Answer
The prime factorization of 3400 is:
$$ 3400 = 2\cdot2\cdot2\cdot5\cdot5\cdot17 $$Which is the same as :
$$ 3400 = 2^{3}\cdot5^{2}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3400 can be written as 10 × 340. |
|
| 10 can be written as 2 × 5. |
|
| 340 can be written as 10 × 34. |
|
| 10 can be written as 2 × 5. |
|
| 34 can be written as 2 × 17. |
|
| The end nodes are the prime factors of the number 3400. |
|
This page was created using
Prime factorization calculator