Question
Find the prime factorization of number 16048.
Answer
The prime factorization of 16048 is:
$$ 16048 = 2\cdot2\cdot2\cdot2\cdot17\cdot59 $$Which is the same as :
$$ 16048 = 2^{4}\cdot17\cdot59 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16048 can be written as 2 × 8024. |
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| 8024 can be written as 2 × 4012. |
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| 4012 can be written as 2 × 2006. |
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| 2006 can be written as 2 × 1003. |
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| 1003 can be written as 17 × 59. |
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| The end nodes are the prime factors of the number 16048. |
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