What limits the range of integer values in programming?

The range of integer values in programming is limited by the number of bits allocated for storing the number and the way numbers are represented (signed or unsigned). For example, in Java, the int type occupies 32 bits and stores values from -2^31 to 2^31-1. If a number exceeds these limits, overflow occurs.

Example of the range for int in Java:

int min = Integer.MIN_VALUE; // -2147483648
int max = Integer.MAX_VALUE; // 2147483647

Thus, the size of the data type and its signedness determine the range of permissible values.