An even number is divisible by [katex] 2 [/katex] with no remainders and an odd number is not. The last digit of an even number is [katex] 0, 2, 4, 6, [/katex] or [katex] 8, [/katex] while the last digit of an odd number is [katex] 1, 3, 5, 7, [/katex] or [katex] 9. [/katex]