Question
Find the prime factorization of number 6666600000.
Answer
The prime factorization of 6666600000 is:
$$ 6666600000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot41\cdot271 $$Which is the same as :
$$ 6666600000 = 2^{6}\cdot3\cdot5^{5}\cdot41\cdot271 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6666600000 can be written as 10 × 666660000. |
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| 10 can be written as 2 × 5. |
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| 666660000 can be written as 10 × 66666000. |
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| 10 can be written as 2 × 5. |
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| 66666000 can be written as 10 × 6666600. |
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| 10 can be written as 2 × 5. |
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| 6666600 can be written as 10 × 666660. |
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| 10 can be written as 2 × 5. |
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| 666660 can be written as 10 × 66666. |
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| 10 can be written as 2 × 5. |
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| 66666 can be written as 2 × 33333. |
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| 33333 can be written as 3 × 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 6666600000. |
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