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For a composite number, x, the minimum sum of factors is 2*sqrt(x) - if the square root exists. That is the minimum, so if the square root does not exist, the sum of its factors must be greater.

72 = 49 so sqrt(50) > 7 so 2*sqrt(50)>14 so the sum of any composite number greater than 50 MUST be greater than 14.

* * * * *

The following correction is thanks to Betterthanyou122 . Unfortunately it was posted on the discussion page so the credit for the edit cannot go to BTY122.

I beg to differ with this, 54 works. 54/ \9 63+3+3+2=11, your desired sum / \ / \3 33 2

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14y ago
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8y ago

2 x 3 x 3 x 3 = 54

2 + 3 + 3 + 3 = 11

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9y ago

35

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Q: You are a composite number between 50 and 60 The sum of your prime factor is 11 what number are you?
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