Question
Find the prime factorization of number 4072.
Answer
The prime factorization of 4072 is:
$$ 4072 = 2\cdot2\cdot2\cdot509 $$Which is the same as :
$$ 4072 = 2^{3}\cdot509 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4072 can be written as 2 × 2036. |
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| 2036 can be written as 2 × 1018. |
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| 1018 can be written as 2 × 509. |
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| The end nodes are the prime factors of the number 4072. |
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