Question
Find the prime factorization of number 8334.
Answer
The prime factorization of 8334 is:
$$ 8334 = 2\cdot3\cdot3\cdot463 $$Which is the same as :
$$ 8334 = 2\cdot3^{2}\cdot463 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8334 can be written as 2 × 4167. |
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| 4167 can be written as 3 × 1389. |
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| 1389 can be written as 3 × 463. |
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| The end nodes are the prime factors of the number 8334. |
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