Find the prime factorization of number 10000.
Answer
The prime factorization of 10000 is:
$$ 10000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 10000 = 2^{4}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10000 can be written as 10 × 1000. |
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| 10 can be written as 2 × 5. |
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| 1000 can be written as 10 × 100. |
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| 10 can be written as 2 × 5. |
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| 100 can be written as 10 × 10. |
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| 10 can be written as 2 × 5. |
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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 10000. |
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