I got this question`and I need help. The product of a 3 digit number and a 1 digit number is 3714. What is the 3 digit number?

Answer 1

well, just a few observations: either the one digit number is even, or both are even. (ends in a even digit, 4)
so the one digit number is 2,4,6,8
but dividing by 2 yields a four digit number..
dividing by 6, 619 and there you go.

Answer 2

the one digit number is ≥4
... 6 looks good for the one digit