Finding the number of multiples within a range

[cordocat000]

Hello,

With these kinds of questions I am having issues with finding the last multiple of the number provided. For example, looking at A (the number 3 within the range of 1 - 100) I am looking for a certain to find the last multiple of 3 from 1 to 100. Also I generally find the number of multiples by dividing the last number in the range given (100) by the original multiple given (3). But when I get a decimal I never seem to know which way to round.

Thanks!

[Leaderboard]

Hint: We’re looking for the greatest multiple less than 100.

[user2039]

Always round down because your multiples of 7 or 3 are bound to be within the interval, or in other words, the “fixed” interval (3 and 99 for 3 and 6 and 231 for 7) will be smaller than the full interval. This is also the same thing as taking the quotient.