Question
Find the prime factorization of number 99999.
Answer
The prime factorization of 99999 is:
$$ 99999 = 3\cdot3\cdot41\cdot271 $$Which is the same as :
$$ 99999 = 3^{2}\cdot41\cdot271 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 99999 can be written as 3 × 33333. |
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| 33333 can be written as 3 × 11111. |
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| 11111 can be written as 41 × 271. |
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| The end nodes are the prime factors of the number 99999. |
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