Question
Find the prime factorization of number 287287.
Answer
The prime factorization of 287287 is:
$$ 287287 = 7\cdot7\cdot11\cdot13\cdot41 $$Which is the same as :
$$ 287287 = 7^{2}\cdot11\cdot13\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 287287 can be written as 7 × 41041. |
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| 41041 can be written as 7 × 5863. |
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| 5863 can be written as 11 × 533. |
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| 533 can be written as 13 × 41. |
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| The end nodes are the prime factors of the number 287287. |
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