How many possible 3-digit numbers are evenly divisible by 33?

Evenly divisible means that there is no remainder.

132 is the smallest 3-digit number evenly divisible by 33.

990 is the greatest number evenly divisible by 33.

a 1 = 132, d = 33, a n = 990.

So we have to find n.

a n = a 1 + (n - 1) * d

990 = 132 + (n - 1) * 33

990 = 132 + 33 n - 33

990 = 99 + 33 n

33 n = 990 - 99

33 n = 891

n = 891 : 33 = 27

Answer: There are 27 3-digit numbers that are evenly divisible by 33.