Question
Find the prime factorization of number 8001.
Answer
The prime factorization of 8001 is:
$$ 8001 = 3\cdot3\cdot7\cdot127 $$Which is the same as :
$$ 8001 = 3^{2}\cdot7\cdot127 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8001 can be written as 3 × 2667. |
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| 2667 can be written as 3 × 889. |
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| 889 can be written as 7 × 127. |
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| The end nodes are the prime factors of the number 8001. |
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