Question
Find the prime factorization of number 30936.
Answer
The prime factorization of 30936 is:
$$ 30936 = 2\cdot2\cdot2\cdot3\cdot1289 $$Which is the same as :
$$ 30936 = 2^{3}\cdot3\cdot1289 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30936 can be written as 2 × 15468. |
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| 15468 can be written as 2 × 7734. |
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| 7734 can be written as 2 × 3867. |
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| 3867 can be written as 3 × 1289. |
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| The end nodes are the prime factors of the number 30936. |
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