# Even and Odd Numbers Between 1 and 100

All the even and odd numbers between 1 and 100 are discussed here.

## Even Numbers:

A number which is a multiple of 2 is called an even number.

or

A number is even, if it is divisible by 2 or 2 is a factor of it.

Thus 2, 4, 6, 8, 10, 12, are even numbers.

REMEMBER

● Even numbers always end in 0, 2, 4, 6, 8.

2 is the smallest prime number and also the only even prime number. All other even numbers are composite

Solved Examples on Even Numbers:

1. Write all the even numbers from 2 to 20.

Solution:

All the even numbers from 2 to 20 are 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20.

## Odd Numbers:

A number which is not a multiple of 2 is called an odd number.

or

A number is odd, if it is not divisible by 2.

Thus 1, 3, 5, 7, 9, 11, .... are odd numbers.

Any even number + 1 odd number i.e., if we divide any odd number by 2, we get 1 as remainder.

REMEMBER

Odd numbers always end in 1, 3, 5, 7, 9.

Solved Examples on Odd Numbers:

1. Find all the odd numbers from 1 to 17.

Solution:

All the odd numbers from 1 to 17 are 1, 3, 5, 7, 9, 11, 13, 15 and 17.

What are the even numbers from 1 to 100?

The even numbers from 1 to 100 are:

2             4             6             8           10

12           14           16           18           20

22           24           26           28           30

32           34           36           38           40

42           44           46           48           50

52           54           56           58           60

62           64           66           68           70

72           74           76           78           80

82           84           86           88           90

92           94           96           98           100

What are the odd numbers from 1 to 100?

The odd numbers from 1 to 100 are:

1             3             5             7             9

11           13           15           17           19

21           23           25           27           29

31           33           35           37           39

41           43           45           47           49

51           53           55           57           59

61           63           65           67           69

71           73           75           77           79

81           83           85           87           89

91           93           95           97           99

Even and Odd  Numbers

In the following table, bold numbers are even numbers and the remaining numbers are add numbers.

1. (i) Every number coming after an even number is an odd number

12 + 1 = 13

16 +1 = 17

176 + 1 = 177

216 + 1 = 217

(ii) Every number coming after an odd number is an even number

15 + 1 = 16

19 + 1 = 20

205 + 1 = 206

419 + 1 = 420

2. Every number having 2, 4, 6, 8 and 0 at its one’s place is divisible by 2 and hence, an even number.

3. No number having 3, 5, 7 and 9 at its one's place is divisible by 2 and hence, an odd number.

4. All the even and odd numbers are whole numbers.

Worksheet on Even and Odd Numbers:

1. Write all the even numbers between 35 and 55.

Answer: 36, 38, 40, 42, 44, 46, 48, 50, 52, 54

2. write all the odd numbers  between 40 and 70.

Answer: 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69

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