Question
Find the prime factorization of number 8016.
Answer
The prime factorization of 8016 is:
$$ 8016 = 2\cdot2\cdot2\cdot2\cdot3\cdot167 $$Which is the same as :
$$ 8016 = 2^{4}\cdot3\cdot167 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8016 can be written as 2 × 4008. |
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| 4008 can be written as 2 × 2004. |
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| 2004 can be written as 2 × 1002. |
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| 1002 can be written as 2 × 501. |
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| 501 can be written as 3 × 167. |
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| The end nodes are the prime factors of the number 8016. |
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