Question
Find the prime factorization of number 17739.
Answer
The prime factorization of 17739 is:
$$ 17739 = 3\cdot3\cdot3\cdot3\cdot3\cdot73 $$Which is the same as :
$$ 17739 = 3^{5}\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17739 can be written as 3 × 5913. |
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| 5913 can be written as 3 × 1971. |
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| 1971 can be written as 3 × 657. |
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| 657 can be written as 3 × 219. |
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| 219 can be written as 3 × 73. |
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| The end nodes are the prime factors of the number 17739. |
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