SOLUTION: Is the product of 11 and multiple of 101 is a number in which every digit is same?

Question 1127824: Is the product of 11 and multiple of 101 is a number in which every digit is same?
Found 2 solutions by htmentor, Alan3354:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The product of 11 and a multiple of 101 can be written as:
11*n*101 = 11n(100 + 1) where n is any integer
So the product is 1100n + 11n -> nn00 + nn = nnnn
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Is the product of 11 and multiple of 101 is a number in which every digit is same?
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It is if the (integral) multiple of 101 is less than 10.
For 10: 11*101*10 = 11110. Four 1's and a zero.
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