Question
Find the prime factorization of number 6838383.
Answer
The prime factorization of 6838383 is:
$$ 6838383 = 3\cdot23\cdot23\cdot31\cdot139 $$Which is the same as :
$$ 6838383 = 3\cdot23^{2}\cdot31\cdot139 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6838383 can be written as 3 × 2279461. |
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| 2279461 can be written as 23 × 99107. |
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| 99107 can be written as 23 × 4309. |
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| 4309 can be written as 31 × 139. |
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| The end nodes are the prime factors of the number 6838383. |
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