Question
Find the prime factorization of number 200000.
Answer
The prime factorization of 200000 is:
$$ 200000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 200000 = 2^{6}\cdot5^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 200000 can be written as 10 × 20000. |
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| 10 can be written as 2 × 5. |
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| 20000 can be written as 10 × 2000. |
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| 10 can be written as 2 × 5. |
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| 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 200000. |
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