Question
Find the prime factorization of number 250805349.
Answer
The prime factorization of 250805349 is:
$$ 250805349 = 3\cdot3\cdot3\cdot1303\cdot7129 $$Which is the same as :
$$ 250805349 = 3^{3}\cdot1303\cdot7129 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 250805349 can be written as 3 × 83601783. |
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| 83601783 can be written as 3 × 27867261. |
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| 27867261 can be written as 3 × 9289087. |
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| 9289087 can be written as 1303 × 7129. |
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| The end nodes are the prime factors of the number 250805349. |
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