Question
Find the prime factorization of number 31192.
Answer
The prime factorization of 31192 is:
$$ 31192 = 2\cdot2\cdot2\cdot7\cdot557 $$Which is the same as :
$$ 31192 = 2^{3}\cdot7\cdot557 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 31192 can be written as 2 × 15596. |
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| 15596 can be written as 2 × 7798. |
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| 7798 can be written as 2 × 3899. |
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| 3899 can be written as 7 × 557. |
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| The end nodes are the prime factors of the number 31192. |
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