Question
Find the prime factorization of number 24843.
Answer
The prime factorization of 24843 is:
$$ 24843 = 3\cdot7\cdot7\cdot13\cdot13 $$Which is the same as :
$$ 24843 = 3\cdot7^{2}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 24843 can be written as 3 × 8281. |
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| 8281 can be written as 7 × 1183. |
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| 1183 can be written as 7 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 24843. |
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