Multiples of 4 Explained: Meaning, Chart, and Practice

The concept of multiples of 4 plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Whether you’re preparing for school tests, MCQs, or curious about everyday math patterns, understanding multiples of 4 will make solving problems easier and quicker.

What Is Multiples of 4?

A multiple of 4 is any number that you get when you multiply 4 by a whole number (like 1, 2, 3, etc). In simple terms, if you can write a number as 4 × n (where n is a whole number), then it is a multiple of 4. You’ll find this concept applied in skip counting, the 4 times table, and many word problems involving grouping, measurement or patterns.

Key Formula for Multiples of 4

Here’s the standard formula: \( \text{Multiple of 4} = 4 \times n \), where n is a whole number (0, 1, 2, 3, ...).

Step-by-Step Illustration

1. Pick a number to multiply with 4:
   
   Let’s choose n = 5
2. Multiply 4 by your number:
   
   4 × 5 = 20
3. The result is a multiple of 4:
   
   20 is a multiple of 4

Chart: First 20 Multiples of 4

n	4 × n
1	4
2	8
3	12
4	16
5	20
6	24
7	28
8	32
9	36
10	40
11	44
12	48
13	52
14	56
15	60
16	64
17	68
18	72
19	76
20	80

Properties & Patterns

• Every multiple of 4 is an even number.
• All multiples of 4 end in 0, 4, or 8, 2, or 6 when you go higher (e.g., 24, 28, 32, 36).
• If a number’s last two digits form a number divisible by 4, then the whole number is a multiple of 4.
• Multiples of 8 are also multiples of 4, but not all multiples of 4 are multiples of 8.
• You can also find multiples of 4 by repeated addition: 4, 8 (4+4), 12 (8+4), etc.

Speed Trick or Vedic Shortcut

Here’s a quick shortcut to check if a number is a multiple of 4: Look at the last two digits — if that number is divisible by 4, then the whole number is a multiple of 4.

Example Trick: Is 364 a multiple of 4?

1. Check last two digits: 64
2. 64 ÷ 4 = 16 (no remainder)
3. So, 364 is a multiple of 4

Such tricks are handy during exams and quizzes! More mental math tips are shared in Vedantu’s live classes.

Word Problem Example (With Solution)

Let’s solve an example involving multiples of 4:

Q: Find all multiples of 4 between 30 and 60.

1. List out the numbers after 30 that are divisible by 4

2. 32, 36, 40, 44, 48, 52, 56, and 60

3. So, the multiples of 4 between 30 and 60 are: 32, 36, 40, 44, 48, 52, 56, 60

Comparison: Multiples vs. Factors

Multiples	Factors
Numbers you get by multiplying the number by 1, 2, 3, …	Numbers that evenly divide the given number without remainder
Always larger than or equal to the number	Always less than or equal to the number
Infinite in count	Finite in count

Try These Yourself

• Write the first five multiples of 4.
• Check if 48 is a multiple of 4.
• Find all multiples of 4 between 70 and 90.
• Circle the numbers in this list that are NOT multiples of 4: 8, 10, 12, 14, 16.

Frequent Errors and Misunderstandings

• Mixing up multiples with factors — remember, multiples are made by multiplying; factors, by dividing.
• Missing a number when skip-counting or making mistakes in multiplication.

Relation to Other Concepts

The idea of multiples of 4 connects closely with topics such as Multiples of 8 and LCM and HCF. Mastering this concept helps you tackle divisibility rules, multiplication tables, and even algebraic patterns later in school.

Classroom Tip

A quick way to remember multiples of 4 is to use color-coded charts on your wall or skip counting by 4 (4, 8, 12,...) aloud. Vedantu’s teachers often use games, flashcards, and multiplication grids to help students recognize these patterns quickly and make math fun and easy to recall during exams.

We explored multiples of 4—from definition, formula, examples, mistakes, and connections to other subjects. Continue practicing with Vedantu to become confident in solving problems using this concept. Explore related topics like Multiples of 3, Divisibility Rules, or Factors and Multiples for more detailed learning!