Question

what value is a counterexample for the conditional statement shown? if a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number. 25 81 49 9

Explanation:

Step1: List odd - perfect squares between 0 and 100

The odd - perfect squares between 0 and 100 are 1, 9, 25, 49, 81.

Step2: Analyze factors of each number

• For 9: factors are 1, 3, 9.
• For 25: factors are 1, 5, 25.
• For 49: factors are 1, 7, 49.
• For 81: factors are 1, 3, 9, 27, 81.

81 has factors other than 1, the number itself, and the square root (square root of 81 is 9, but 3 and 27 are also factors).

Answer:

81