**Problem : **
Is 70,724 divisible by 2? By 4? By 8?

Yes, yes, no.

**Problem : **
Is 82,791 divisible by 3? By 6? By 9?

Yes, no, yes.

**Problem : **
Is 70,200 divisible by 5? By 10?

Yes, yes.

**Problem : **
Think of a number that is divisible by 5 but not by 10.

Any number that ends in "5" is correct.

**Problem : **
Is it possible to make a number that is divisible by 3 out of the
digits 8, 1, 4, 7, 0, and 1? Is it possible to make a number that is
divisible by 3 out of the digits 7, 4, 0, and 9?

Yes, no.

**Problem : **
a) Make a number that is divisible by 2 out of the digits 6, 2, and
7.

b) Make a number that is divisible by 4 out of the digits 6, 2, and 7.

a) 762, 726, 672, or 276.

b) 672 or 276.