How many positive integers will divide evenly into 530?
Choose the correct choice from the following:
A) 8 B) 12 C) 16 D) 18 E) 20
520 = 10*13*4 = 8*5*13 = 2^3*5*13   We need to positive integers will divide evenly into 520 or simply the factors of 520   If a number is of the form 2^a*3^b*5^c,   Total factors = (a+1)(b+1)(c+1)   Therefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 18   Option 18
<result>D</result>
How many positive integers will divide evenly into 530?