Question
Find the prime factorization of number 30896.
Answer
The prime factorization of 30896 is:
$$ 30896 = 2\cdot2\cdot2\cdot2\cdot1931 $$Which is the same as :
$$ 30896 = 2^{4}\cdot1931 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30896 can be written as 2 × 15448. |
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| 15448 can be written as 2 × 7724. |
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| 7724 can be written as 2 × 3862. |
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| 3862 can be written as 2 × 1931. |
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| The end nodes are the prime factors of the number 30896. |
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