Deconstructing 32: Prime Factors and Mathematical Insights

To determine the divisibility of 32, we'll use divisibility rules:

• Step 1: Divisibility by 2
  A number is divisible by 2 if its last digit is even. The last digit of 32 is 2, which is even. Therefore, 32 is divisible by 2.
• Step 2: Divisibility by 4
  A number is divisible by 4 if the number formed by its last two digits is divisible by 4. Here, the number formed by the last two digits is 32. Since $32 \div 4 = 8$, which is an integer, 32 is divisible by 4.
• Step 3: Divisibility by 10
  A number is divisible by 10 if its last digit is 0. The last digit of 32 is 2, not 0. Therefore, 32 is not divisible by 10.

Considering the choices provided, the correct statement is that 32 is divisible by both 2 and 4 but not by 10.

Therefore, the solution to the problem is ...is divisible by 2 and also by 4.