Question
Find the prime factorization of number 227296.
Answer
The prime factorization of 227296 is:
$$ 227296 = 2\cdot2\cdot2\cdot2\cdot2\cdot7103 $$Which is the same as :
$$ 227296 = 2^{5}\cdot7103 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 227296 can be written as 2 × 113648. |
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| 113648 can be written as 2 × 56824. |
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| 56824 can be written as 2 × 28412. |
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| 28412 can be written as 2 × 14206. |
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| 14206 can be written as 2 × 7103. |
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| The end nodes are the prime factors of the number 227296. |
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