Question
Find the prime factorization of number 30645.
Answer
The prime factorization of 30645 is:
$$ 30645 = 3\cdot3\cdot3\cdot5\cdot227 $$Which is the same as :
$$ 30645 = 3^{3}\cdot5\cdot227 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30645 can be written as 5 × 6129. |
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| 6129 can be written as 3 × 2043. |
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| 2043 can be written as 3 × 681. |
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| 681 can be written as 3 × 227. |
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| The end nodes are the prime factors of the number 30645. |
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