There are 6 integers that divide 18 evenly. 18 = 1*18 = 2*9 = 3*6 The divisors are 1, 2, 3, 6, 9, 18. _____ If you factor 18 into prime factors (with exponents), you can add 1 to each of the exponents and multiply the results. This will give you the total number of divisors. 18 = (2^1)(3^2) (1+1)(2+1) = 2*3 = 6 There are 6 divisors of 18.