The conjecture states: "If a number is divisible by 2, it must also be divisible by 4."
To find a counterexample, we need to identify a number that is divisible by 2, but not divisible by 4.
Let's evaluate the options:
A. 16
- 16 is divisible by 2 (16 ÷ 2 = 8)
- 16 is also divisible by 4 (16 ÷ 4 = 4)
- This is not a counterexample.
B. 22
- 22 is divisible by 2 (22 ÷ 2 = 11)
- 22 is not divisible by 4 (22 ÷ 4 = 5.5)
- This is a counterexample.
C. 8
- 8 is divisible by 2 (8 ÷ 2 = 4)
- 8 is also divisible by 4 (8 ÷ 4 = 2)
- This is not a counterexample.
D. 24
- 24 is divisible by 2 (24 ÷ 2 = 12)
- 24 is also divisible by 4 (24 ÷ 4 = 6)
- This is not a counterexample.
The counterexample to the conjecture is:
B. 22
Which is a counterexample to the following conjecture?
If a number is divisible by 2, it must also be divisible by 4.
A.
16
B.
22
C.
8
D.
24
1 answer