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 mini-lesson, 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 never-ending 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?
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 15th and 16th multiples of 14?
The 15th multiple of 14 is 15 × 14 = 210 and the 16th 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