Multiples

What are the Multiples

Multiples are a fundamental concept in Mathematics. Multiples are taught to primary-grade students and have many real-life implications. In Mathematics, a multiple of a number is the product of that number and an integer.

The multiples of a number can also be considered as repeating patterns or cycles. For example, the first five multiples of 3 are 3, 6, 9, 12, and 15. Here, you can see that the difference between each number is 3.

Let’s understand how you can find multiples of a number.

Example:
What are the multiples of 8?

Answer:
Multiples of a number can be calculated by using two methods:

• multiplication method
• addition method

Calculating multiples of 8 using the multiplication method:
In this method, the given number, i.e., 8 needs to be added to a sequence of numbers.

• Step 1: Create a table of a sequence of numbers starting from 1 to 10.
• Step 2: Now, using the repeated multiplication method, multiply 8 with the sequence of numbers.

8X1	8
8X2	16
8X3	24
8×4	32
8X5	40
8X6	48
8X7	56
8X8	64
8X9	72
8X10	80

Calculating multiples of 8 using the division method:
In this method, the given number, i.e., needs to be added with the previous multiple in order to obtain the next multiple.

• Step 1: Let’s calculate the first five multiples of 8. First, add 8 with 0 to obtain the first multiple of 8. The result will be 8.
• Step 2: Now, again add 8 with 8, the first multiple, to obtain the second multiple of 8.
• Step 3: Keep doing the repeated addition to obtain the first five multiples of 8.

8+8= 16

16+8= 24

24+8= 32

32+8= 40

40+8= 48