Question
Find the prime factorization of number 4666620000.
Answer
The prime factorization of 4666620000 is:
$$ 4666620000 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot7\cdot41\cdot271 $$Which is the same as :
$$ 4666620000 = 2^{5}\cdot3\cdot5^{4}\cdot7\cdot41\cdot271 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4666620000 can be written as 10 × 466662000. |
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| 10 can be written as 2 × 5. |
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| 466662000 can be written as 10 × 46666200. |
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| 10 can be written as 2 × 5. |
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| 46666200 can be written as 10 × 4666620. |
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| 10 can be written as 2 × 5. |
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| 4666620 can be written as 10 × 466662. |
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| 10 can be written as 2 × 5. |
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| 466662 can be written as 2 × 233331. |
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| 233331 can be written as 3 × 77777. |
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| 77777 can be written as 7 × 11111. |
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| 11111 can be written as 41 × 271. |
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| The end nodes are the prime factors of the number 4666620000. |
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