Find the prime factorization of number 81000.
Answer
The prime factorization of 81000 is:
$$ 81000 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 81000 = 2^{3}\cdot3^{4}\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 81000 can be written as 10 × 8100. |
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| 10 can be written as 2 × 5. |
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| 8100 can be written as 10 × 810. |
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| 10 can be written as 2 × 5. |
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| 810 can be written as 10 × 81. |
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| 10 can be written as 2 × 5. |
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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 81000. |
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