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Q: What is the least number divided by 809 that has a remainder that is the same as the quotient?

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127 is the least prime number greater than 25 that will have a remainder of 2 when divided by 25.

75 ends (least significant digit) in 5 which is an odd number, hence the entire number 75 is odd. Also if you divide 75 by 2 you get a quotient of 37 and a remainder of 1. When a number is divided by 2 and you do not get a remainder of 0, the number is odd, otherwise it is even.

1005

How about 14 because 14/9 = 1 with a remainder of 5

It is 38.

25

It is 1.1 = 0*12152128 r 1

The smallest number which can be divided by both 4 and 5 without a remainder is 20. This is also known as the Least Common Multiple (LCM).

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420

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LCM of 45 & 50 = 450 so how about 456?

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