Question
Find the prime factorization of number 198888.
Answer
The prime factorization of 198888 is:
$$ 198888 = 2\cdot2\cdot2\cdot3\cdot8287 $$Which is the same as :
$$ 198888 = 2^{3}\cdot3\cdot8287 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 198888 can be written as 2 × 99444. |
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| 99444 can be written as 2 × 49722. |
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| 49722 can be written as 2 × 24861. |
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| 24861 can be written as 3 × 8287. |
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| The end nodes are the prime factors of the number 198888. |
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