Question
Find the prime factorization of number 123123213.
Answer
The prime factorization of 123123213 is:
$$ 123123213 = 3\cdot3\cdot3\cdot103\cdot44273 $$Which is the same as :
$$ 123123213 = 3^{3}\cdot103\cdot44273 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 123123213 can be written as 3 × 41041071. |
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| 41041071 can be written as 3 × 13680357. |
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| 13680357 can be written as 3 × 4560119. |
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| 4560119 can be written as 103 × 44273. |
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| The end nodes are the prime factors of the number 123123213. |
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