Find the prime factorization of number 5000.
Answer
The prime factorization of 5000 is:
$$ 5000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 5000 = 2^{3}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5000 can be written as 10 × 500. |
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| 10 can be written as 2 × 5. |
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| 500 can be written as 10 × 50. |
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| 10 can be written as 2 × 5. |
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| 50 can be written as 10 × 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 5000. |
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