Question
Find the prime factorization of number 116586.
Answer
The prime factorization of 116586 is:
$$ 116586 = 2\cdot3\cdot3\cdot3\cdot17\cdot127 $$Which is the same as :
$$ 116586 = 2\cdot3^{3}\cdot17\cdot127 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 116586 can be written as 2 × 58293. |
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| 58293 can be written as 3 × 19431. |
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| 19431 can be written as 3 × 6477. |
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| 6477 can be written as 3 × 2159. |
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| 2159 can be written as 17 × 127. |
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| The end nodes are the prime factors of the number 116586. |
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