Question
Find the prime factorization of number 131193.
Answer
The prime factorization of 131193 is:
$$ 131193 = 3\cdot3\cdot3\cdot43\cdot113 $$Which is the same as :
$$ 131193 = 3^{3}\cdot43\cdot113 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 131193 can be written as 3 × 43731. |
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| 43731 can be written as 3 × 14577. |
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| 14577 can be written as 3 × 4859. |
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| 4859 can be written as 43 × 113. |
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| The end nodes are the prime factors of the number 131193. |
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