Multiples Of 12 - Methods Of Finding Multiples - Vedantu

The concept of multiples of 12 plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Understanding multiples of 12 can help you solve questions about LCM, number patterns, and quick mental math in school, Olympiads, and competitive tests. Vedantu covers these concepts in step-by-step detail to help students learn quickly and confidently.

What Is Multiples of 12?

A multiple of 12 is any number that can be written as 12 multiplied by a whole number (for example, 12 × 1, 12 × 2, 12 × 3, and so on). You’ll find this concept applied in areas such as divisibility rules, times tables, and finding the least common multiple (LCM).

Key Formula for Multiples of 12

Here’s the standard formula: \( 12 \times n \), where n is any whole number (n = 0, 1, 2, 3, ...).

Why Learn Multiples of 12?

Multiples of 12 are not only useful in Maths but also play an important role in Physics, Computer Science, and daily mental calculations. Knowing these lets you quickly find common time intervals (hours and months), solve LCM and HCF questions, and confidently answer MCQs in exams. Students preparing for JEE or NEET will see its relevance in various problem-solving situations.

Step-by-Step: How to Find Multiples of 12

1. Start with the number 12. 12 × 1 = 12
2. Keep multiplying 12 by 2, 3, 4, and so on. 12 × 2 = 2412 × 3 = 3612 × 4 = 48
3. Write down each answer. These are your multiples of 12.

First 20 Multiples of 12 (Quick Reference Table)

n	12 × n	Multiple
1	12 × 1	12
2	12 × 2	24
3	12 × 3	36
4	12 × 4	48
5	12 × 5	60
6	12 × 6	72
7	12 × 7	84
8	12 × 8	96
9	12 × 9	108
10	12 × 10	120
11	12 × 11	132
12	12 × 12	144
13	12 × 13	156
14	12 × 14	168
15	12 × 15	180
16	12 × 16	192
17	12 × 17	204
18	12 × 18	216
19	12 × 19	228
20	12 × 20	240

Tricks for Multiples of 12

Speed Trick: Since 12 = 3 × 4, a number is a multiple of 12 if it is divisible by both 3 and 4. For quick checking in exams, add up the digits (divisible by 3) and check last two digits for divisibility by 4.

Example: Is 336 a multiple of 12?3+3+6=12 (divisible by 3), last two digits 36 (divisible by 4). Yes, so 336 is a multiple of 12.

Key Properties of Multiples of 12

• All multiples of 12 are even numbers
• Each multiple is a product of 12 and a whole number
• There are infinite multiples of 12
• If a number is a multiple of 12, it will also be a multiple of 3, 4, and 6

Multiples of 12 vs. Factors of 12

Multiples of 12	Factors of 12
Numbers like 12, 24, 36, 48, 60, etc (goes on infinitely)	Numbers like 1, 2, 3, 4, 6, and 12 (fixed, always fewer)
Obtained by multiplying 12 by other numbers	Numbers which divide 12 exactly

For a deep dive into factors, check Factors of 12.

Applications and Word Problems Involving Multiples of 12

Multiples of 12 are helpful in time calculations, grouping, arranging objects, finding LCM, and solving puzzles. For example:

If you want to divide 60 chocolates equally among friends, you look for the closest multiple of 12 less than 60 to know how many can be equally shared.

Competitive exams often use such logic in their questions, and Vedantu’s live classes teach these with practical examples.

Try These Yourself

• Write the first five multiples of 12.
• Check if 96 is a multiple of 12.
• List all multiples of 12 between 50 and 120.
• Is every multiple of 6 also a multiple of 12?

Frequent Errors and Misunderstandings

• Confusing multiples of 12 with factors of 12
• Missing that multiples can go on infinitely
• Only adding 12 repeatedly, forgetting multiplication

Links to Related Maths Concepts

• Multiples of 4
• Multiples of 8
• LCM and HCF
• Number System

Summary: What to Remember About Multiples of 12

• Multiples of 12 are infinite: 12, 24, 36, 48, ...
• Formula: 12 × n (n=whole number)
• Used in LCM, grouping, time, and patterns
• All multiples of 12 are even and divisible by both 3 and 4

We explored multiples of 12—from definition and formula to quick tricks, tables, and word problems. Keep practicing with Vedantu to master the concept and become confident at solving problems using multiples in maths!