Question
Find the prime factorization of number 50193.
Answer
The prime factorization of 50193 is:
$$ 50193 = 3\cdot3\cdot3\cdot11\cdot13\cdot13 $$Which is the same as :
$$ 50193 = 3^{3}\cdot11\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 50193 can be written as 3 × 16731. |
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| 16731 can be written as 3 × 5577. |
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| 5577 can be written as 3 × 1859. |
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| 1859 can be written as 11 × 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 50193. |
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