Multiples of 14
Tom and his friends are playing a game in which they have to call out numbers in order, starting from 1. The rule is that the player who has to say number 14 or the numbers divisible by 14 should say "Halloween" instead. The numbers that they need to avoid calling out are 14, 28, 42, and so on.
Multiples of 14 are obtained by multiplying 14 with integers. In this minilesson, let us calculate the multiples of 14 and learn some interesting facts about these multiples.
 First five multiples of 14: 14, 28, 42, 56 and 70.
 Prime Factorization of 14: 14 = 2 × 7
Let us explore more about the multiples of 14 and their properties.
1.  What Are the Multiples of 14? 
2.  First 20 Multiples of 14 
3.  Important Notes 
4.  Thinking Out of the Box! 
5.  FAQs on Multiples of 14 
What Are the Multiples of 14?
The multiples of 14 are the products obtained on multiplying the number 14 with other numbers. If we want the third multiple of 14, we can multiply 14 by 3 and get the multiple as 42. Take a look at the figure shown below. When this kangaroo hops, it skips 14 steps ahead. The numbers shown below are the multiples of 14.
This list is neverending as we can generate as many multiples of 14 as we want.
First 20 Multiples of 14
Let us list the first 20 multiples of 14.
Multiples of 14 

14 × 1 = 14 
14 × 2 = 28 
14 × 3 = 42 
14 × 4 = 56 
14 × 5 = 70 
14 × 6 = 84 
14 × 7 = 98 
14× 8 = 112 
14 × 9 = 126 
14 × 10 = 140 
14 × 11 = 154 
14 × 12 = 168 
14 × 13 = 182 
14 × 14 = 196 
14 × 15 = 210 
14 × 16 = 224 
14 × 17 = 238 
14 × 18 = 252 
14 × 19 = 266 
14 × 20 = 280 
Important Notes
 All the numbers divisible by 14 are the multiples of 14.
 There are infinite multiples of 14.
 Every multiple of 14 is greater than or equal to 14.
To understand the concept of finding multiples, let us look at a few more examples.
 Multiples of 20  The first five multiples of 20 are 20, 40, 60, 80, and 100.
 Multiples of 12  The first five multiples of 12 are 12, 24, 36, 48 and 60.
 Multiples of 16  The first five multiples of 16 are 16, 32, 48, 64 and 80.
 Multiples of 13  The first five multiples of 13 are 13, 26, 39, 52, and 65.
 Multiples of 17  The first five multiples of 17 are 17, 34, 51, 68, and 85.
Think Tank
 What is the difference between the factors of 14 and the multiples of 14?
 Can you determine a number that is both a factor and a multiple of 14?
Multiples of 14 Solved Examples

Example 1: Flora loves gardening. She plants 14 plants in the first row, 14 more plants in the next row, 14 plants in the third row, and so on. How many plants did she plant in the eighth row?
Solution:
The number of plants in every n^{th} row is the n^{th} multiple of 14.
Thus, the number of plants in the 8^{th} row is the 8^{th} multiple of 14.
14 x 8 = 112
Thus, Flora planted 112 plants in the eighth row.

Example 2: Today is Cherry's birthday. She wants to distribute two candies each to her friends. If she has 14 friends in her school, how many candies would she need for distribution?
Solution:
The number of candies that Cherry wants to distribute to each friend = 2
Number of friends Cherry has = 14
Thus, number of candies she will need = 14 × 2 = 28
FAQs on Multiples of 14
What are the multiples of 14?
The first 5 multiples of 14 are 14, 28, 42, 56, and 70.
Are the multiples of 42 the multiples of 21 and 14?
42 is a multiple of both 21 and 14. Hence, the multiples of 42 are multiples of 21 and 14.
What are the 15^{th} and 16^{th} multiples of 14?
The 15^{th} multiple of 14 is 15 × 14 = 210 and the 16^{th} multiple of 14 is 16 × 14 = 224.
What are the common multiples of 14 and 12?
The multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, and so on.
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, and so on.
The common multiples of 14 and 12 are 84
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