Question
Find the prime factorization of number 18180.
Answer
The prime factorization of 18180 is:
$$ 18180 = 2\cdot2\cdot3\cdot3\cdot5\cdot101 $$Which is the same as :
$$ 18180 = 2^{2}\cdot3^{2}\cdot5\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 18180 can be written as 10 × 1818. |
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| 10 can be written as 2 × 5. |
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| 1818 can be written as 2 × 909. |
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| 909 can be written as 3 × 303. |
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| 303 can be written as 3 × 101. |
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| The end nodes are the prime factors of the number 18180. |
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