How May I Determine if a Number is Divisible by a Given Set of Numbers?

by Travis   Last Updated July 18, 2019 00:20 AM

How can I mathematically identify whether or not a number is divisible with no remainder using any combination of a given set of numbers?


Set of Numbers: 500, 250, 125, 75

Dividend: 650

I know that I can divide 650 by 500 which results in a remainder of 150 which is then divisible by 75 with no remainder, but how can I accomplish that mathematically without walking through the numbers programmatically?

I want to be able to identify that 650 meets that criteria, and that 651 does not.

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