For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 1000, what is the maximum possible sum of the length of x and the length of y?
a. 5
b. 6
c. 15
d. 16
e. 18
OA is D. I am looking for a quick explanation to crack this. Not through the long method of solving it.
a. 5
b. 6
c. 15
d. 16
e. 18
OA is D. I am looking for a quick explanation to crack this. Not through the long method of solving it.
