Question

if x\144 is an integer and x\35 is an integer, then which of the following must be an integer ?

Answer 1

Since \(x\) is divisible by 144 and 35, you know that it's also divisible by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 (all factors of 144) and 1, 5, 7, 35 (factors of 35).