Question
Find the prime factorization of number 40506075.
Answer
The prime factorization of 40506075 is:
$$ 40506075 = 3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot83\cdot241 $$Which is the same as :
$$ 40506075 = 3^{4}\cdot5^{2}\cdot83\cdot241 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 40506075 can be written as 5 × 8101215. |
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| 8101215 can be written as 5 × 1620243. |
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| 1620243 can be written as 3 × 540081. |
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| 540081 can be written as 3 × 180027. |
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| 180027 can be written as 3 × 60009. |
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| 60009 can be written as 3 × 20003. |
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| 20003 can be written as 83 × 241. |
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| The end nodes are the prime factors of the number 40506075. |
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