Even or odd: arithmetic rules

key notes :

Even Number:

An even number is any integer that is exactly divisible by 2, meaning there is no remainder when divided by 2.

Examples of even numbers: 2, 4, 6, 8, 10, ..

Odd Number:

An odd number is any integer that is not divisible by 2 without leaving a remainder

Examples of odd numbers: 1, 3, 5, 7, 9, ..

A simple addition or subtraction may reveal whether the resulting total or difference is odd or even, provided you are familiar with the Even or Odd arithmetic rules.

even	−	even	=	even
odd	−	odd	=	even
even	−	odd	=	odd
odd	−	even	=	odd

even	+	even	=	even
odd	+	odd	=	even
even	+	odd	=	odd
odd	+	even	=	odd

even	×	even	=	even
odd	×	odd	=	odd
even	×	odd	=	even
odd	×	even	=	even

even	÷	odd	=	even
odd	÷	odd	=	odd

Example	arithmetic rules
56+8	even + even = even [64]
79+10	odd + even = odd [89]
55+5	odd + odd = even [60]
12+5	even + odd = odd [17]
10-2	even – even = even [8]
88-5	even – odd = odd [83]
97-17	odd – odd = even [80]
77-12	odd – even = odd [65]
86+0	even + 0 = even [80]
86-0	even – 0 = even [80]
55+0	odd + 0 = odd [55]
55-0	odd – 0 = odd [55]
12×2	even × even = even [24]
7×5	odd × odd = odd [35]
10×7	even × odd = even [70]
5×4	odd × even = even [20]
10÷5	even ÷ odd = even [2]
15÷3	odd ÷ odd = odd [3]

Learn with an example

Let’s practice!