[Maths Class Notes] on Multiples of 15 Pdf for Exam

Finding out multiples of 15 is not difficult but before getting straight onto it, let us first understand what multiples are. A multiple of a number is the outcome of the product of that number with any other number. In other words, a number that can be divided by another number completely without leaving a remainder is called the multiple of that number. Multiples are usually considered in the form of whole numbers. Here, we will learn about all multiples of 15. Thus, the numbers that we will be focusing on are completely divisible by 15. 

All Multiples of 15

A multiple of 15 is a number that can be represented in the form of 15n, where n is any natural number. A number that can be divided a certain number of times by another number is called the multiple of the other number. Suppose we have two numbers M and N.

 

M is said to be the multiple of N if, M = nN, where n stands for natural numbers. 

 

Some common multiples of 15 are:

 

30, 45, 60, 75, 225 etc.

 

The numbers that are products of 15 or can be divided by 15 without leaving a remainder are multiples of 15. By looking at the equation, one can easily identify multiples as well as factors of a given number. For example, 30, 45, 60, 75, and 225 are all common multiples of 15 pertaining to the following arrangement of equations:

 

 

These are all represented as multiples as they are procured by adding or subtracting the original number i.e. 15, multiple times.

 

The common multiples of 15 chart looks something like this: 

 

 

What is the 9th Multiple of 15?

The 9th multiple of 15 is to be found multiplying 15 by 9, such that:

15 x 9 = 135

Thus, the ninth multiple of 15 is 135.

Least Common Multiple of 15

The Least Common Multiple is also referred to as Lowest Common Multiple or Least Common Divisor. If there are two integers a and b, in that case, the smallest positive integer that is evenly divisible by both a and b is the least common multiple of a and b.

Suppose there are two numbers 15 and 3, the LCM (15,3) = 15

The LCM of two or more numbers is the smallest number that is divisible by the whole set of numbers without leaving a remainder.

 

Just like the multiples of 15 are 15, 30, 45, 60, 90, 225, and so on, on the contrary 1, 2, 3, 4, 6, and 15 are factors of 15.

Did You Know?

Multiples and factors are often confused by people for one of the other. But they are not the same!

 

The numbers that can completely divide a number without leaving a remainder are called the factors of that specific number. The basic concept is that 15 is one of the multiples of the factors of 15.

 

For example, 7 is a factor of 14, i.e.7 completely divides 14 without leaving a remainder and having a quotient of 2. Conversely, 2 is also a factor of 14 as it gives 7 as a quotient on division. Thus, 14 has factors 2, 7, 14 and 1 which divide 14 without leaving any remainder.

 

On the other hand, 14 is a multiple of 2 as well as a multiple of 7.

                           7             x            2               =            14 

                Factor of 14            Factor of 2                Multiple of 7 or 2

 

Difference Between Factors and Multiples  

 

Conclusion 

This is how we can calculate the multiples of 15. Focus on how the multiples are calculated so that you can easily do it for other numbers. Check the steps elaborately and practice.