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 mini-lesson, let us calculate the multiples of 14 and learn some interesting facts about these multiples.

You are watching: What are the multiples of 14

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

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. 

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This list is never-ending as we can generate as many multiples of 14 as we want.


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

All the numbers divisible by 14 are the multiples of 14.There are infinite multiples of 14.

To understand the concept of finding multiples, let us look at a few more examples. 


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?

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 nth row is the nth multiple of 14.

Thus, the number of plants in the 8th row is the 8th multiple of 14.

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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?