nikhilsrl wrote:For any positive integer n the length is defined as the number of prime numbers whose product equals n. So for 75 the length is 3 since 75 = 3 * 5 * 5. How many 2 digit numbers have a length of 6.
a) None
b) One
c) Two
d) Three
e) Four
OA is C.
Which is the easiest way to solve this?
Start with smallest possible prime factors:
2*2*2*2*2*2 = 64.
2*2*2*2*2*3 = 96.
Since the product must be less than 100, only the two numbers above are possible. If we increase any of the factors, the product will be greater than 100.
The correct answer is
C.
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