Even and Odd Numbers

Grade 2 · Math · Study Guide

Learn how to identify whether any number is even or odd.

Every whole number is either even or odd. This is one of the most useful things to know in math!

Even numbers can be split into two equal groups with nothing left over. If you have 6 apples, you can give 3 to one friend and 3 to another with none left. Even numbers always end in 0, 2, 4, 6, or 8.

Odd numbers cannot be split into two equal groups — there is always one left over. If you have 7 apples and try to split them equally, one is always alone. Odd numbers always end in 1, 3, 5, 7, or 9.

A great way to check is to count by 2s. When you skip count by 2, you land on all the even numbers: 2, 4, 6, 8, 10, 12... Numbers you skip over are odd numbers.

You can also use pairs. Line up objects in pairs (groups of 2). If every object has a partner, the number is even. If one object has no partner, the number is odd.

Remember: the ones digit tells you everything! Just look at the last digit of any number to know if it is even or odd.

Key terms

Even number

A number that can be divided into two equal groups with nothing left over; ends in 0, 2, 4, 6, or 8

Odd number

A number that cannot be divided into two equal groups; there is always one left over; ends in 1, 3, 5, 7, or 9

Skip counting

Counting by a number other than 1, such as counting by 2s: 2, 4, 6, 8...

Ones digit

The last digit on the right side of a number, used to determine if a number is even or odd

Pair

A group of two

Flashcards

Is 14 even or odd?

Even (ends in 4)

Is 27 even or odd?

Odd (ends in 7)

Is 88 even or odd?

Even (ends in 8)

Is 35 even or odd?

Odd (ends in 5)

Even number digits

Ends in 0, 2, 4, 6, or 8

Odd number digits

Ends in 1, 3, 5, 7, or 9

First 5 even numbers

2, 4, 6, 8, 10

First 5 odd numbers

1, 3, 5, 7, 9

Questions

1. Which of the following is an even number?

   1. 17
   2. 23
   3. 36
   4. 41
   Show answer

   Answer: 36

   36 ends in 6, which is an even digit. The others (17, 23, 41) end in odd digits.

2. The number 50 is an even number.

   Show answer

   Answer: True

   50 ends in 0, and 0 is an even digit, so 50 is even.

3. The ones digit of every odd number ends in 1, 3, 5, 7, or ___.

   Show answer

   Answer: 9

   Odd numbers end in 1, 3, 5, 7, or 9. These are the five odd ones digits.

4. Jake has 13 crayons. Can he split them into 2 equal groups?

   1. Yes, with none left over
   2. No, because 13 is odd
   3. Yes, with 2 left over
   4. No, because 13 is even
   Show answer

   Answer: No, because 13 is odd

   13 is odd because it ends in 3. Odd numbers cannot be split into two equal groups.

5. The number 0 is an even number.

   Show answer

   Answer: True

   0 is considered an even number because you can split 0 into two equal groups of 0.

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