Question
Find the prime factorization of number 6850008.
Answer
The prime factorization of 6850008 is:
$$ 6850008 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot11\cdot31\cdot31 $$Which is the same as :
$$ 6850008 = 2^{3}\cdot3^{4}\cdot11\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6850008 can be written as 2 × 3425004. |
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| 3425004 can be written as 2 × 1712502. |
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| 1712502 can be written as 2 × 856251. |
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| 856251 can be written as 3 × 285417. |
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| 285417 can be written as 3 × 95139. |
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| 95139 can be written as 3 × 31713. |
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| 31713 can be written as 3 × 10571. |
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| 10571 can be written as 11 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 6850008. |
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