Question
Find the prime factorization of number 207936.
Answer
The prime factorization of 207936 is:
$$ 207936 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot19\cdot19 $$Which is the same as :
$$ 207936 = 2^{6}\cdot3^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 207936 can be written as 2 × 103968. |
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| 103968 can be written as 2 × 51984. |
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| 51984 can be written as 2 × 25992. |
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| 25992 can be written as 2 × 12996. |
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| 12996 can be written as 2 × 6498. |
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| 6498 can be written as 2 × 3249. |
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| 3249 can be written as 3 × 1083. |
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| 1083 can be written as 3 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 207936. |
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