Which of these must the factor M of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Choose the correct answer:
A) M=1,2 only B) M=2,3 only C) M=1,2,3 only D) M=1,2,3,4 only E) All of them
Let the four variables be a&lt; b&lt; c&lt; d.   Assume a worst case scenario where the a equal to a prime number (hence odd).   therefore   a = divisible by 1   b = a + 1 (divisible by 2)   c = a + 3 (divisible by 3)   d = a + 4 (divisible by 4)   therefore   each answer choice must be divisible by 2 x 3 x 4 = 24   only 80 is not divisible. Therefore answer = M=1,2,3,4 only
<result>D</result>
Which of these must the factor M of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80