Question
Find the prime factorization of number 30682.
Answer
The prime factorization of 30682 is:
$$ 30682 = 2\cdot23\cdot23\cdot29 $$Which is the same as :
$$ 30682 = 2\cdot23^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30682 can be written as 2 × 15341. |
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| 15341 can be written as 23 × 667. |
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| 667 can be written as 23 × 29. |
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| The end nodes are the prime factors of the number 30682. |
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