Question
Find the prime factorization of number 9999999999.
Answer
The prime factorization of 9999999999 is:
$$ 9999999999 = 3\cdot3\cdot11\cdot41\cdot271\cdot9091 $$Which is the same as :
$$ 9999999999 = 3^{2}\cdot11\cdot41\cdot271\cdot9091 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9999999999 can be written as 3 × 3333333333. |
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| 3333333333 can be written as 3 × 1111111111. |
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| 1111111111 can be written as 11 × 101010101. |
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| 101010101 can be written as 41 × 2463661. |
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| 2463661 can be written as 271 × 9091. |
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| The end nodes are the prime factors of the number 9999999999. |
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