How many integral divisors does the number 120 have?
Choose the correct option.
A) 14  B) 16  C) 12  D) 20  E) None of these
Explanatory Answer   Express the number in terms of its prime factors   120 = 2(3) * 3 * 5.   The three prime factors are 2, 3 and 5.   The powers of these prime factors are 3, 1 and 1 respectively.   Find the number of factors as follows   To find the number of factors / integral divisors that 120 has, increment the powers of each of the prime factors by 1 and then multiply them.   Number of factors = (3 + 1) * (1 + 1) * (1 + 1) = 4 * 2 * 2= 
<gadget id="calculator">4 * 2 * 2</gadget>
<output>16</output>
16.   Choice 16
<result>B</result>
How many integral divisors does the number 120 have?