A student claims that 157,163 is divisible by 3 since the last digit in the number is 3 . Explain how you would correct the student's thinking. Choose the correct answer below. A. 157,163 is not divisible by 3 because the sum of the digits, 23 , is not divisible by 3 . B. 157,163 is divisible by 3 because the sum of the digits, 24 , is divisible by 3 . C. 157,163 is not divisible by 3 because the first digit in the number is not 3 . D. 157,163 is divisible by 3 because the product of the digits, 630 , is divisible by 3 .

To determine whether a number is divisible by 3, we use the rule that states a number is divisible by 3 if the sum of its digits is divisible by 3. Let's analyze the number 157,163: 1. **Calculate the sum of the digits:** - The digits of 157,163 are 1, 5, 7, 1, 6, and 3. - Sum of the digits: \(1 + 5 + 7 + 1 + 6 + 3 = 23\). 2. **Check if the sum is divisible by 3:** - Now, we need to check if 23 is divisible by 3. - When we divide 23 by 3, we get \(23 \div 3 = 7\) remainder \(2\). Since there is a remainder, 23 is not divisible by 3. Based on this analysis, we can conclude that: - **157,163 is not divisible by 3 because the sum of the digits, 23, is not divisible by 3.** Thus, the correct answer is: **A. 157,163 is not divisible by 3 because the sum of the digits, 23, is not divisible by 3.**