Question
Find the prime factorization of number 7936.
Answer
The prime factorization of 7936 is:
$$ 7936 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot31 $$Which is the same as :
$$ 7936 = 2^{8}\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7936 can be written as 2 × 3968. |
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| 3968 can be written as 2 × 1984. |
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| 1984 can be written as 2 × 992. |
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| 992 can be written as 2 × 496. |
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| 496 can be written as 2 × 248. |
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| 248 can be written as 2 × 124. |
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| 124 can be written as 2 × 62. |
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| 62 can be written as 2 × 31. |
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| The end nodes are the prime factors of the number 7936. |
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