Question
Find the prime factorization of number 230908176.
Answer
The prime factorization of 230908176 is:
$$ 230908176 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot1603529 $$Which is the same as :
$$ 230908176 = 2^{4}\cdot3^{2}\cdot1603529 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 230908176 can be written as 2 × 115454088. |
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| 115454088 can be written as 2 × 57727044. |
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| 57727044 can be written as 2 × 28863522. |
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| 28863522 can be written as 2 × 14431761. |
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| 14431761 can be written as 3 × 4810587. |
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| 4810587 can be written as 3 × 1603529. |
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| The end nodes are the prime factors of the number 230908176. |
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