To determine the digit that makes the number 51,378,x divisible by 4, we need to understand the divisibility rule for 4. A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
The number we have is 51,378,x. This means we need to focus on the last two digits, which are '8' and 'x'.
1. Let's denote the unknown digit as 'x'.
2. Form the number from the last two digits: 8x, where '8' is in the tens place and 'x' is the units place.
3. To be divisible by 4, the number 8x must be divisible by 4.
The result from evaluating different digits for x shows us that when x = 6, the number 86 is formed, and we need to check:
4. 86 ÷ 4 = 21.5, which is not an integer.
Therefore, if the digit is 6, the number 51,378,6 is not divisible by 4. The number 51,378,x cannot be divisible by 4 for the provided unknown digit x = 6.
