Question
Find the prime factorization of number 30906.
Answer
The prime factorization of 30906 is:
$$ 30906 = 2\cdot3\cdot3\cdot17\cdot101 $$Which is the same as :
$$ 30906 = 2\cdot3^{2}\cdot17\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30906 can be written as 2 × 15453. |
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| 15453 can be written as 3 × 5151. |
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| 5151 can be written as 3 × 1717. |
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| 1717 can be written as 17 × 101. |
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| The end nodes are the prime factors of the number 30906. |
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