Question
Find the prime factorization of number 99999999.
Answer
The prime factorization of 99999999 is:
$$ 99999999 = 3\cdot3\cdot11\cdot73\cdot101\cdot137 $$Which is the same as :
$$ 99999999 = 3^{2}\cdot11\cdot73\cdot101\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 99999999 can be written as 3 × 33333333. |
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| 33333333 can be written as 3 × 11111111. |
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| 11111111 can be written as 11 × 1010101. |
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| 1010101 can be written as 73 × 13837. |
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| 13837 can be written as 101 × 137. |
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| The end nodes are the prime factors of the number 99999999. |
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