Question
Find the prime factorization of number 20536.
Answer
The prime factorization of 20536 is:
$$ 20536 = 2\cdot2\cdot2\cdot17\cdot151 $$Which is the same as :
$$ 20536 = 2^{3}\cdot17\cdot151 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 20536 can be written as 2 × 10268. |
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| 10268 can be written as 2 × 5134. |
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| 5134 can be written as 2 × 2567. |
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| 2567 can be written as 17 × 151. |
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| The end nodes are the prime factors of the number 20536. |
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