Question
Find the prime factorization of number 231109281.
Answer
The prime factorization of 231109281 is:
$$ 231109281 = 3\cdot3\cdot3\cdot3\cdot3\cdot13\cdot149\cdot491 $$Which is the same as :
$$ 231109281 = 3^{5}\cdot13\cdot149\cdot491 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 231109281 can be written as 3 × 77036427. |
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| 77036427 can be written as 3 × 25678809. |
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| 25678809 can be written as 3 × 8559603. |
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| 8559603 can be written as 3 × 2853201. |
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| 2853201 can be written as 3 × 951067. |
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| 951067 can be written as 13 × 73159. |
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| 73159 can be written as 149 × 491. |
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| The end nodes are the prime factors of the number 231109281. |
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