Question
Find the prime factorization of number 230507667.
Answer
The prime factorization of 230507667 is:
$$ 230507667 = 3\cdot3\cdot3\cdot13\cdot127\cdot5171 $$Which is the same as :
$$ 230507667 = 3^{3}\cdot13\cdot127\cdot5171 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 230507667 can be written as 3 × 76835889. |
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| 76835889 can be written as 3 × 25611963. |
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| 25611963 can be written as 3 × 8537321. |
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| 8537321 can be written as 13 × 656717. |
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| 656717 can be written as 127 × 5171. |
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| The end nodes are the prime factors of the number 230507667. |
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