16. Read the following conjecture. Any number that is divisible by 3 is also divisible by 9. Find a counterexample to show that the conjecture is false. 27 48 45 18

Answer 1

The conjecture states that any number divisible by 3 is also divisible by 9. A counterexample is a number that is divisible by 3 but not by 9.

In this case, the number 48 is divisible by 3 (48 ÷ 3 = 16), but it is not divisible by 9 (48 ÷ 9 = 5 remainder 3). Therefore, 48 is a counterexample to the conjecture, showing that it is false.