Question
Find the prime factorization of number 30512.
Answer
The prime factorization of 30512 is:
$$ 30512 = 2\cdot2\cdot2\cdot2\cdot1907 $$Which is the same as :
$$ 30512 = 2^{4}\cdot1907 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30512 can be written as 2 × 15256. |
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| 15256 can be written as 2 × 7628. |
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| 7628 can be written as 2 × 3814. |
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| 3814 can be written as 2 × 1907. |
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| The end nodes are the prime factors of the number 30512. |
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