Question
Find the prime factorization of number 48841.
Answer
The prime factorization of 48841 is:
$$ 48841 = 13\cdot13\cdot17\cdot17 $$Which is the same as :
$$ 48841 = 13^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 48841 can be written as 13 × 3757. |
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| 3757 can be written as 13 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 48841. |
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