Question
Find the prime factorization of number 234234.
Answer
The prime factorization of 234234 is:
$$ 234234 = 2\cdot3\cdot3\cdot7\cdot11\cdot13\cdot13 $$Which is the same as :
$$ 234234 = 2\cdot3^{2}\cdot7\cdot11\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 234234 can be written as 2 × 117117. |
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| 117117 can be written as 3 × 39039. |
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| 39039 can be written as 3 × 13013. |
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| 13013 can be written as 7 × 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 234234. |
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