Question
Find the prime factorization of number 23805.
Answer
The prime factorization of 23805 is:
$$ 23805 = 3\cdot3\cdot5\cdot23\cdot23 $$Which is the same as :
$$ 23805 = 3^{2}\cdot5\cdot23^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 23805 can be written as 5 × 4761. |
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| 4761 can be written as 3 × 1587. |
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| 1587 can be written as 3 × 529. |
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| 529 can be written as 23 × 23. |
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| The end nodes are the prime factors of the number 23805. |
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