Multiples are numbers you get when you multiply a number by any natural number (like 1, 2, 3, 4, etc.). For example, 6 is a multiple of 6 because 6 × 1 = 6. Similarly, 12 is a multiple of 6 because 6 × 2 = 12. The list of multiples of 6 includes 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on. Each number in this list increases by 6, which means the difference between one multiple and the next is always the same. It’s important to remember that multiples and factors are not the same. Multiples are results of multiplication, while factors are numbers that divide a number exactly without a remainder. In short, multiples go on forever and help us in many areas of math, like finding common multiples or solving problems with tables and patterns.

Understanding Multiples of 6

Multiples of 6 are numbers you get when you multiply 6 by any whole number like 1, 2, 3, and so on. In easy words, if a number can be written as 6 times another whole number, then it is a multiple of 6. For example, 6 × 1 = 6, 6 × 2 = 12, 6 × 3 = 18, and so on. Some common multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, and 120. These numbers increase by 6 every time.

As defined, a multiple of 6 is obtained by multiplying an integer by 6. Here are a few examples:

Multiples can also be found by repeated addition of a number. For example, the first five multiples of 6 can be found by adding 6 repeatedly:

The first multiple of 6 is: 6 × 1 = 6

The second multiple of 6 is: 6 × 2 = 12 or 6 + 6 = 12

The third multiple of 6 is: 6 × 3 = 18 or 6 + 6 + 6 = 18

The fourth multiple of 6 is: 6 × 4 = 24 or 6 + 6 + 6 + 6 = 24

The fifth multiple of 6 is: 6 × 5 = 30 or 6 + 6 + 6 + 6 + 6 = 30

And so on...

Multiples of 6 Table

The following table shows the first 20 multiples of 6:

The multiples of 6 are the same as the results of the multiplication table of 6.

What are the multiples and factors of 6?

Multiples are the numbers you get by multiplying a number by any other number. Factors, on the other hand, are the numbers that multiply together to give the original number. While the multiples of a number can be infinite, the factors of a number are always finite.

The multiples of 6 are 6, 12, 18, 24, 30, etc., and the factors of 6 are 1, 2, 3, and 6.

How many multiples of 6 are there?

There are an infinite number of multiples of 6 because natural numbers are infinite. Some of the multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, and so on.

Multiples of 6 up to 100

The multiples of 6 up to 100 are:

{6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96}

Properties of Multiplication help us understand how numbers behave when multiplied. These rules—like commutative, associative, distributive, identity, and zero—make calculations easier and more flexible. They are the foundation of many math shortcuts and problem-solving strategies.

1. Commutative Property of Multiplication

This rule says that the order in which two numbers are multiplied doesn’t change the answer.
For example, 3 × 5 = 5 × 3 = 15. The product stays the same no matter the order.

2. Associative Property of Multiplication

This rule tells us that when multiplying three or more numbers, how we group them doesn’t affect the result.
For example, (2 × 3) × 4 = 2 × (3 × 4) = 24. Grouping doesn’t change the answer.

3. Distributive Property of Multiplication

This rule connects multiplication and addition. A number multiplied by a sum equals the sum of separate multiplications.
For example, 2 × (3 + 4) = (2 × 3) + (2 × 4) = 14.

4. Identity Property of Multiplication

This rule says that any number multiplied by 1 remains the same.
For example, 7 × 1 = 7. The identity of the number doesn’t change.

5. Zero Property of Multiplication

According to this rule, multiplying any number by 0 always gives 0.
For example, 9 × 0 = 0. No matter how big the number is, the answer will be 0.

Important Notes About Multiples

• A number is always the smallest multiple of itself.
  (For example, 4 is a multiple of 4.)
• Every multiple of 6 is also a multiple of both 2 and 3.
  (For example, 24 can be divided by 2 and 3.)
• A number can be a common multiple of many other numbers.
  (For example, 100 is a multiple of 2, 4, 5, 10, 20, 25, and 50.)
• All multiples of 6 are always even numbers.

Solved Examples on Multiple of 6

Example 1

Ravi is making keychains. He uses 5 beads for the first keychain, 10 beads for the second, 15 for the third, and so on. How many beads will he need to make the 20th keychain?

Solution:

In the 2nd keychain, Ravi needs 2 × 5 = 10 beads.
In the 4th keychain, he needs 4 × 5 = 20 beads.

So, for the 20th keychain:
Ravi needs 20 × 5 = 100 beads.

Example 2

Sara plays a game where she earns 4 points for each balloon she pops. If she pops 75 balloons, how many points does she earn?

Solution:

For 1 balloon, Sara earns 4 points.
So, for 75 balloons:
Sara earns 75 × 4 = 300 points.

Example 3

Amit gets 7 marks from each of the 5 judges in a competition. What will be his total marks at the end of the 10th round?

Solution:

In one round: 7 × 5 = 35 marks.
So, in 10 rounds: 35 × 10 = 350 marks.

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