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Even numbers in mathematics are a part of parity. In it, the particular property of a number or an integer is referred to as either even or odd. In the case when a number can, be said to be a multiple of 2, that integer is said to be an even number like 2,4,6, 8……so on. If an integer cannot be divided by 2 or if it is not a multiple of 2, then it is said to be an odd number. So, 3,5,7, are odd numbers. In mathematics, even numbers and odd numbers form the fundamental basis of calculations.
Table 1 shows even numbers chart till 100
Table 2 shows differences between odd and even numbers
Every even number can be represented as 2n while odd numbers are represented as 2n-1 or 2n+1. Here n is a natural integer.
Even Numbers
Even numbers along with odd numbers form the basis of mathematics. In the case when a number can, be said to be a multiple of 2, that integer is said to be an even number like 2,4,6, 8……so on. Even numbers in mathematics are a part of parity.| 2 | 12 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 |
| 4 | 14 | 24 | 34 | 44 | 54 | 64 | 74 | 84 | 94 |
| 6 | 16 | 26 | 36 | 46 | 56 | 66 | 76 | 86 | 96 |
| 8 | 18 | 28 | 38 | 48 | 58 | 68 | 78 | 88 | 98 |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
What are Even Numbers?
Even and Odd Numbers It is also a very important area of inquiry in quantitative aptitude. Even 0 is considered to be even since its parity is even. It is also a fundamental fact that consecutive integers are numbers with opposite parity. In the case of decimal, a number is considered to be even if the last digit of that integer is even. When considering the binary numeral system, a digit that has 0 or 2 or 4 or so on then it is said to be even. However, in the case there is an odd base then if the sum of that base is even, the base is considered to be even. Mathematically, an even number can be explained as: X=2k Here, k is an integer x= 2k+1 So, if an even number can be divided by 2 then, x is 2 In case it is an odd number then x is not 2Properties of Even Numbers
The properties of even numbers can be proven by using divisibility. The following represents the verification:- Addition – Subtraction
- even (+-) even = even
- even (+-) odd = odd
- odd (+-) odd = even
- Multiplication
- Even × even = even
- even × odd = even
- odd × odd = odd
Odd and Even Numbers
An odd number is that integer that cannot be divided by 2 and is not a multiple of 2. The differences between what odd and even numbers can be summed up as the following table:| Even Numbers | Odd Numbers |
| Can be divided by 2 | Cannot be divided by 2 |
| Remainder is 0 | Remainder is 1 |
| The Sum of two even numbers is even | The Sum of two odd numbers is odd |
| Example: 0,2,4,6,8 | Example: 1,3,5,7,9 |
