Question
Find the prime factorization of number 37228.
Answer
The prime factorization of 37228 is:
$$ 37228 = 2\cdot2\cdot41\cdot227 $$Which is the same as :
$$ 37228 = 2^{2}\cdot41\cdot227 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 37228 can be written as 2 × 18614. |
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| 18614 can be written as 2 × 9307. |
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| 9307 can be written as 41 × 227. |
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| The end nodes are the prime factors of the number 37228. |
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