Multiples of 42
Multiples of any number are infinite. Let us talk about number 42. 42 is an even composite number. It has infinite multiples and finite factors. In this minilesson let us explore more about the ways to calculate multiples of 42.
 First five multiples of 42: 42, 84, 126, 168, and 210
 Prime Factorization of 42: 2 × 3 × 7
1.  What are the Multiples of 42? 
2.  First 20 Multiples of 42 
3.  Important Notes 
4.  FAQs on Multiples of 42 
What are the Multiples of 42?
Multiples of 42 are the numbers that we get when we multiply 42 with other numbers.
To get the multiples of 42,
 multiply it by counting numbers(1, 2, 3, 4, .....) as 42 × 1 = 42, 42 × 2 =84,......and so on.
 or add the number to itself repeatedly as 42 + 42 = 84 , 42 + 42 + 42 = 128.....and so on.
First 20 Multiples of 42
42 × 1 = 42 
42 × 2 = 84 
42 × 3 = 126 
42 × 4 = 168 
42 × 5 = 210 
42 × 6 = 252 
42 × 7 =294 
42 × 8 = 336 
42 × 9 = 378 
42 × 10 = 420 
42 × 11 = 462 
42 × 12 = 504 
42 × 13 = 546 
42 × 14 = 588 
42 × 15 = 630 
42 × 16 = 672 
42 × 17 = 714 
42 × 18 = 756 
42 × 19 = 798 
42 × 20= 840 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 24  The first five multiples of 24 are 24, 48, 72, 96 and 100
 Multiples of 36 The first five multiples of 36 are 36, 72, 108, 144 and 180
 Multiples of 30 The first five multiples of 30 are 30, 60, 90 ,120 and 150
 Multiples of 8  The first five multiples of 8 are 8, 16, 24, 32 and 40
 Multiples of 21  The first five multiples of 21 are 21, 42, 63, 84 and 105
Important Notes:
 The first multiple of every number is the number itself. 42 × 1 = 42 .
 All the multiples of 42 are multiples of the factors of 42, that is, 2, 3 and 7
 All the multiples of 32 are even numbers.
 A multiple is termed to be a common multiple if it is common to two or more numbers. Example: 32 × 2 = 64, 2 × 32 = 64, 64 is a common multiple of 2 and 32
Challenging Questions
 I am a multiple of 6, also a multiple of 7. I lie between 40 and 50 Can you guess me?
 Is the 12th multiple of 42 same as the sum of the 4th multiple of 42 and 3rd multiple of 42?
Multiples of 42 Solved Examples

Example 1: Janet and Bob both love to donate their toys to the needy ones. If Janet has 42 toys to donate and Bob has three times the number of toys Janet has. Can you tell the number of toys that Bob has?
Solution:
Given, the number of toys with Janet = 42
Number of toys with Bob is third multiple of 42 = 42 × 3 = 126 toys.
Bob has 126 toys. 
Example 2: Kate drew a rectangle whose width is twice the length. If the length of the rectangle is 42 inches. Can you identify the width?
Solution
Given Length = 42 inches and
Width = 2 × Length = 2 × 42 = 84
Therefore, width is the second multiple of 42 which is 84.
FAQs on Multiples of 42
What are the multiples of 42?
The multiples of 42 are 42 multiplied with the integers.
What are the common multiples of 42 and 14?
The multiples of 42 are 42, 84, 126, 168, 210 and so on.
The multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, 126 and so on.
The common multiples of 14 are 42, 84, 126 and so on.
What is the 18^{th} multiple of 42?
The 18th multiple of 42 is 42 × 18 = 756
How many multiples of 42 do we have?
We have infinite multiples of 42. Any integer multiplied with 42 results in its multiples.
What is the least common multiple of 42 and 36?
Multiples of 42 are 42, 84, 126, 168, 210, 252, 294, 336, 378 and so on.
Multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360 and so on.
The least common multiple of 42 and 36 = 252.
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