Question
Find the prime factorization of number 524880.
Answer
The prime factorization of 524880 is:
$$ 524880 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 524880 = 2^{4}\cdot3^{8}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 524880 can be written as 10 × 52488. |
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| 10 can be written as 2 × 5. |
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| 52488 can be written as 2 × 26244. |
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| 26244 can be written as 2 × 13122. |
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| 13122 can be written as 2 × 6561. |
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| 6561 can be written as 3 × 2187. |
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| 2187 can be written as 3 × 729. |
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| 729 can be written as 3 × 243. |
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| 243 can be written as 3 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 524880. |
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