Question
Find the prime factorization of number 27000.
Answer
The prime factorization of 27000 is:
$$ 27000 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 27000 = 2^{3}\cdot3^{3}\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 27000 can be written as 10 × 2700. |
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| 10 can be written as 2 × 5. |
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| 2700 can be written as 10 × 270. |
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| 10 can be written as 2 × 5. |
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| 270 can be written as 10 × 27. |
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| 10 can be written as 2 × 5. |
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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 27000. |
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