Introduction
Multiples are the number which divide the number completely without the remainder. Multiples are the product of a given number with an integer. For example we can say that multiples of 8 are the numbers obtained by the product of 8 with the natural numbers like 1, 2, 3, 4,....so on. Some of the multiples of 8 are 8, 16, 24, 32, 40, 48 and so on….It is impossible to list all multiples of 8, since there are an infinite number of natural numbers. In this article let us study all the multiples of 8 and how to determine multiples of 8.
The multiples of 8 are all the numbers that result from the multiplication of 8 by another whole number or an integer.Any number that can be represented as in the form of 8n , where n is considered as an integer and a multiple of 8.
It is said that an integer"n"is a multiple of the integer"m"if there is an integer"k", such that n = m x k.
So to know multiples of 8, m = 8 must be substituted in the equation.
Therefore, n = 8 x k is obtained.
That is, multiples of 8 are all those numbers that can be written as 8 multiplied by some whole number. For example:
n = 8 x 1, then 8 is a multiple of 8.
n = 8 * (- 3), then -24 is a multiple of 8.
To find the multiples of 8 we must be familiar with the multiplication table of 8. Multiples of 8 will be the product of 8 with any natural number i.e 8n, where n is any natural number.
For example Find the multiples of 8
Multiply any natural number 1, 2, 3, 4, 5, …...so on with 8 to get the multiples of 8.
I.e 8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
.
.
.
So on
If you are asked to find any particular number of multiple supposed to find 7 th multiple of 8 we can use the formula for multiples of 8 as 8n where n is 7 so we get 8 x 7 = 56.
Multiples of 8 can be infinite. Here is the list of the first 20 multiples of 8.
Multiplication of 8 With An Integer | Multiples 0f 8 | |||
8 x 1 = | 8 | |||
8 x 2 = | 16 | |||
8 x 3 = | 24 | |||
8 x 4 = | 32 | |||
8 x 5 = | 40 | |||
8 x 6 = | 48 | |||
8 x 7 = | 56 | |||
8 x 8 = | 64 | |||
8 x 9 = | 72 | |||
8 x10= | 80 | |||
8 x 11= | 88 | |||
8 x 12= | 96 | |||
8 x 13= | 104 | |||
8 x 14= | 112 | |||
8 x 15= | 120 | |||
8 x 16= | 128 | |||
8 x 17 | 136 | |||
8 x 18 | 144 | |||
8 x 19 | 152 | |||
8 x 20 | 160 |
As we know that multiplication and division operations are inverse of each other, multiple of any number can be found even by the division operation.
Suppose we have to check whether 120 is multiple of 8 or not.
120 8 = 15 Since 120 is completely divisible by 8 we can say that 120 is a multiple of 8.
Common multiples are defined as the common multiple number from the set of two or more numbers. Let us understand from the given example.
For example 3 and 9:
Some of Multiples of 3 are 3, 6, 9,12, 15, 18, 21, 24, 27,30, 33, 36, 39
Some of Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81,90, 99, 108, 117
Common of 3 and 9 are Multiples 9, 18, 27, 36
Writ Down The 5 Multiples 0f The Following
6
Solution: 6, 18, 36, 48, 54.
13
Solution: 13, 36, 39, 52, 65.
Write down any three multiples of the following numbers
15
20
17
23
A Number has an infinite number of multiples.
Every number is a multiple of itself.
Every multiple of a given number is greater than or equal to that given number.
Zero is a multiple of every number.
First multiple of any given number is the number itself.
1. How to Find LCM of Two Numbers?
LCM stands for the least common multiple. The least common multiple is the smallest number that is the common multiple of all the given numbers. To find the LCM of given numbers first we have to write all the factors of the given numbers. Now multiply each factor the maximum number of times it occurs in both the numbers. You will get the LCM of the numbers.
For example: Let us find the LCM of 30 and 50
First, calculate the prime factors
30 = 2 x 3 x 5
50 = 2 x 5 x 5
Now, LCM = 2 x 5 x 3 x 5
= 150
2. What are the Factors of a Number?
Factors of a number are the product of such numbers which completely divide the given number. Factors of a given number can be either positive or negative numbers. By multiplying the factors of a number we get the original number. For example 1, 2, 3, 6 are the factors of 6. On multiplying two or more numbers we get 6. Hence we have 2 x 3 = 6 or 1 x 6 = 6.
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