Multiples of 6

Now, let's explore multiples of 6. A multiple is a number that we get when we multiply one whole number by another whole number. When it comes to multiples of 6, they should be evenly divisible by 6.

Every number is a multiple of itself because when we multiply the number by 1, it results in the number itself; for example, 6 × 1 = 6. If a number is multiplied by 0, it results in 0; therefore, 0 is the multiple of every number.
 

Multiples of 6 are the products of 6 and a whole number. It is equally possible to divide multiples of 6 by 6. And the first 20 multiples of 6 are given below:

6 x 0 = 0
6 × 1 = 6
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
6 × 7 = 42
6 × 8 = 48 
6 × 9  = 54
6 × 10 = 60
6 × 11 = 66
6 × 12 = 72
6 × 13 = 78
6 × 14 = 84
6 × 15 = 90
6 × 16 = 96
6 × 17 = 102
6 × 18 = 108
6 × 19 = 114
6 × 20 = 120

Learning and working with multiples of 6 makes it easier to solve mathematical problems. We need to apply different mathematical operations while working with multiples of 6. The important methods are given below:
 

The first 5 multiples of 6 are 6, 12, 18, 24, 30. These are the values we get by multiplying 6 by numbers from 1 to 5.

So, the sum of the multiples is:

6 + 12 + 18 + 24 + 30 = 90

The first 5 multiples of 6 are 6, 12, 18, 24, 30. When we do subtraction, it helps us understand how the total gets smaller when we subtract the multiple from another. So in this method, we get how the result of the previous subtraction are subtracted from the multiples of 6.

• The first step will be 6 – 6 = 0.
• Then, 12 – 0 = 12.
• Next, 18 – 12 = 6.
• Subtract the fourth multiple: 24 – 6  = 18.
• Now let's conclude with the subtraction of the 5th multiple: 30 – 18 = 12

Therefore, the result of subtracting the first five multiples of 6 is 12.
 

The total sum of multiples divided by the total no of multiples. To find the average of the first 5 multiples of 6, add them together and divide by 5.

6 + 12 + 18 + 24 + 30 = 90

Average = Total sumTotal  /  number of multiples
               
                =  90 / 5  = 18

Therefore, the average of the first five multiples of 6 is 18.
 

The product is the result of a number multiplied by each other. To find the product of the first five multiples of 6, we multiply all the multiples.

Step 1: Multiply the first and second multiples of 6:
 6 ×12 = 72.

Step 2: Multiply the previous answer with the third multiple:
 72 ×18 = 1296.

Step 3: Here, multiply the fourth multiple with the previous answer:
1296 × 24 = 31104.

Step 4: To conclude, multiply the fifth multiple with the previous answer:
31104 × 30 = 933120

Therefore, the product of the first five multiples of 6 is 933120.
 

Division is the process of splitting the number into equal parts. So here we divide each of the first five multiples of 6 by 6:

 6 ÷ 6 = 1
12 ÷ 6 = 2
18 ÷ 6 = 3
24 ÷ 6 = 4
30 ÷ 6 = 5 

Therefore, 1, 2, 3, 4, and 5 are the result of dividing the first 5 multiples of 6.
 

• Multiple: The result of multiplying one number by another whole number is called a multiple. For example, 5 × 2 = 10; here, 10 is the multiple of 2 and 5. 

• Even number: Any number that has no remainder when divided by 2. For example: 6, 12, 18, etc., are all even numbers.

• Integer: A whole number that may be positive, negative, or zero. For example: 1, -2, 3, and 0 are integers.