Question
Find the prime factorization of number 348255.
Answer
The prime factorization of 348255 is:
$$ 348255 = 3\cdot3\cdot5\cdot71\cdot109 $$Which is the same as :
$$ 348255 = 3^{2}\cdot5\cdot71\cdot109 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 348255 can be written as 5 × 69651. |
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| 69651 can be written as 3 × 23217. |
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| 23217 can be written as 3 × 7739. |
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| 7739 can be written as 71 × 109. |
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| The end nodes are the prime factors of the number 348255. |
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