Multiples of 27 are obtained by multiplying it with integers. For example, the first positive multiple of 27 is obtained by multiplying 27 with 1. 27 × 1 = 27In this mini-lesson, we will discuss about the multiples of 27, and learn interesting facts about these multiples.

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First five multiples of 27: 27, 54, 81,108, and 135Prime factorization of 27: 27 = 3 × 3 × 3 = 33
1.What Are the Multiples of 27?
2.First 20 Multiples of 27
3.Important Notes
4. FAQs on Multiples of 27

The multiples of 27 are numbers that are obtained by multiplying 27 with any integer.Here are a few multiples of 27:

27 × 1 = 2727 × 2 = 5427 × 3 = 8127 × 4 = 10827 × 5 = 135

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Have you observed that 27 can be added to any multiple of 27 to get its successive multiple?


Now we will find the first 20 multiples of 27 by multiplying 27 by each of the natural numbers from 1 to 20.Since multiplication is repeated addition, once we find the first multiple, we can add 27 to it to get another multiple and we can keep adding 27 to get the successive multiples.

First 20 Multiples of 27
27 × 1 = 2727 × 11 = 297
27 × 2 = 5427 × 12 = 324 
27 × 3 = 8127 × 13 = 351
27 × 4 = 10827 × 14 = 378
27 × 5 = 13527 × 15 = 405
27 × 6 = 16227 × 16 = 432
27 × 7 = 18927 × 17 = 459
27 × 8 = 21627 × 18 = 486
27 × 9 = 24327 × 19 = 513
27 × 10 = 27027 × 20 = 540

Hence, the first 20 multiples of 27 are, 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540. To understand the concept of finding multiples, let us take a few more examples.

Tips and Tricks:

Given one multiple of a number we can find:

Its successor multiple by adding the number to the given multiple.Its predecessor multiple by subtracting the number from the given multiple.

Important Notes:


The first multiple of every number is the number itself, 27 × 1 = 27.Every multiple of a number is greater than or equal to the number itself.27 × 1 = 27 (27=27)27 × 2 = 54 (54>27) 27 × 3 = 81 (81>27)27 × 4 =108 (108>27) and so onA multiple is termed to be a common multiple if it is common to two or more numbers.

Multiples of 27 Solved Examples


Example 1: 

Can we help Ava to answer the following riddle?I am a multiple of 27. I lie between 110 and 170. My one"s digit is odd. Who am I?

Solution:

The multiples of 27 are, 27, 54, 81, 108, 135, 162, 189,...Among these, the multiples of 27 that lie between 110 and 170 are 135 and 162.Among these two multiples, the one with an odd digit in its one"s place is 135.

Thus, the answer to the given riddle is 135.


Example 2: Help Mark in finding sum of first five multiples of 27. Check if the resultant is also a multiple of 27?

Solution:

The first five multiples of 27 are

27 × 1 = 2727 × 2 = 5427 × 3 = 8127 × 4 = 10827 × 5 = 135

Adding all the multiples = 27 + 54 + 81 + 108 + 135 = 405.405 is the 15th multiple of 27, i.e., 27 × 15 = 405.


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FAQs on Multiples of 27


What are the multiples of 27 and 36?

The multiples of 27 are 27, 54, 81, 108, ...The multiples of 36 are 36, 72, 108, 144, ...

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What are the 5 multiples of 27?

There are infinite multiples of 27.The first 5 multiples of 27 are:

27 × 1 = 2727 × 2 = 5427 × 3 = 8127 × 4 = 10827 × 5 = 135

Are the multiples of 27 always odd?

No. We know that 27 is an odd number but it has dd as weel as even multiples.Multiples of 27 like 54, 108, etc. are even

What is the least common multiple of 27 and 36?

The multiples of 27 are 27, 54, 81, 108, ...The multiples of 36 are 36, 72, 108, 144, ...So the least common multiple of 27 and 36 is 108.