Question
Find the prime factorization of number 2000.
Answer
The prime factorization of 2000 is:
$$ 2000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 2000 = 2^{4}\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2000 can be written as 10 × 200. |
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| 10 can be written as 2 × 5. |
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| 200 can be written as 10 × 20. |
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| 10 can be written as 2 × 5. |
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| 20 can be written as 10 × 2. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 2000. |
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