N is a positive integer, and k is the product of all integers from 1 to n inclusive. if k is a multiple of 1440, then the smallest possible value of n is
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k =n!
since it is a multiple of 1440 the smallest possible value of k be 1440m
ie 6! =720
7! =5040
1440does not divide 5040
8! = 40320= 1440× 28
thus n=8
thus k = 6!× 2
thus n=
since it is a multiple of 1440 the smallest possible value of k be 1440m
ie 6! =720
7! =5040
1440does not divide 5040
8! = 40320= 1440× 28
thus n=8
thus k = 6!× 2
thus n=
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