Question
Find the prime factorization of number 26163.
Answer
The prime factorization of 26163 is:
$$ 26163 = 3\cdot3\cdot3\cdot3\cdot17\cdot19 $$Which is the same as :
$$ 26163 = 3^{4}\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 26163 can be written as 3 × 8721. |
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| 8721 can be written as 3 × 2907. |
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| 2907 can be written as 3 × 969. |
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| 969 can be written as 3 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 26163. |
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