Question
Find the prime factorization of number 296208.
Answer
The prime factorization of 296208 is:
$$ 296208 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot11\cdot11\cdot17 $$Which is the same as :
$$ 296208 = 2^{4}\cdot3^{2}\cdot11^{2}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 296208 can be written as 2 × 148104. |
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| 148104 can be written as 2 × 74052. |
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| 74052 can be written as 2 × 37026. |
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| 37026 can be written as 2 × 18513. |
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| 18513 can be written as 3 × 6171. |
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| 6171 can be written as 3 × 2057. |
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| 2057 can be written as 11 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 296208. |
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