Question
Find the prime factorization of number 30592.
Answer
The prime factorization of 30592 is:
$$ 30592 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot239 $$Which is the same as :
$$ 30592 = 2^{7}\cdot239 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30592 can be written as 2 × 15296. |
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| 15296 can be written as 2 × 7648. |
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| 7648 can be written as 2 × 3824. |
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| 3824 can be written as 2 × 1912. |
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| 1912 can be written as 2 × 956. |
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| 956 can be written as 2 × 478. |
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| 478 can be written as 2 × 239. |
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| The end nodes are the prime factors of the number 30592. |
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