Yes, a number is divisible by 2 if it ends with an even number.
Explanation:
A number is considered even if it is divisible by 2, leaving no remainder. This divisibility rule is fundamental in number theory. The last digit of a number determines its divisibility by 2. If the last digit is 0, 2, 4, 6, or 8, the number is even and thus divisible by 2.
Examples:
- 12 ends in 2 (even) and is divisible by 2 (12 / 2 = 6).
- 34 ends in 4 (even) and is divisible by 2 (34 / 2 = 17).
- 100 ends in 0 (even) and is divisible by 2 (100 / 2 = 50).
- 246 ends in 6 (even) and is divisible by 2 (246 / 2 = 123).
- 998 ends in 8 (even) and is divisible by 2 (998 / 2 = 499).
Why this works:
Any number can be expressed as the sum of its digits multiplied by powers of 10. For example, the number 456 can be written as (4 100) + (5 10) + (6 * 1). All powers of 10 are divisible by 2 except for 100 which equals 1. Thus, only the last digit determines divisibility by 2. If that last digit is even, the entire number is even.
