Question
Find the prime factorization of number 73080.
Answer
The prime factorization of 73080 is:
$$ 73080 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot29 $$Which is the same as :
$$ 73080 = 2^{3}\cdot3^{2}\cdot5\cdot7\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 73080 can be written as 10 × 7308. |
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| 10 can be written as 2 × 5. |
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| 7308 can be written as 2 × 3654. |
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| 3654 can be written as 2 × 1827. |
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| 1827 can be written as 3 × 609. |
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| 609 can be written as 3 × 203. |
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| 203 can be written as 7 × 29. |
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| The end nodes are the prime factors of the number 73080. |
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