Multiples of 19
Multiples of 19 are whole numbers. They are the product of n natural numbers and 19. In other words, we can say that the multiples of 19 are the numbers that can be divided by 19 without leaving any remainder. We can create n number of multiples of 19 just by multiplying 19 with n natural numbers. In this mini-lesson, we will calculate the multiples of 19 and we will learn some interesting facts about these multiples.
- First five multiples of 19: 19, 38, 57, 76, and 95
- Prime Factorization of 19: 19 = 1 × 19
| 1. | What Are the Multiples of 19? |
| 2. | First 20 Multiples of 19 |
| 3. | Tips and Tricks |
| 4. | FAQs on Multiples of 19 |
What Are the Multiples of 19?
Multiples of 19 are derived by multiplication of 19 with whole numbers. There is way to write down the multiples of 19. First, we need to memorize then multiples of 9. The first 10 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, and 90. To obtain the multiples of 19, add natural numbers to the ten's digit for the multiples of 9. Hence, the multiples of 19 are obtained as follows: (1+0)9, (2+1)8, (3+2)7, (4+3)6, (5+4)5, (6+5)4, (7+6)3, (8+7)2, (9+8)1, (10+9)0 = 19, 38, 57, 76, 95, 114, 133, 152, 171, 190.
| First 10 Multiples of 19 | |
| 19 × 1 = 19 | 19 × 6 = 114 |
| 19 × 2 = 38 | 19 × 7 = 133 |
| 19 × 3 = 57 | 19 × 8 = 152 |
| 19 × 4 = 76 | 19 × 9 = 171 |
| 19 × 5 = 95 | 19 × 10 = 190 |
Hence, the first 10 multiples of 19 are 19, 38, 57, 76, 95, 114, 133, 152, 171, and 190.
First 20 Multiples of 19
The first 20 multiples of 19 are those numbers which we obtain as the result when we multiply natural numbers from 1-20 with 19. We just derived first 10 multiples of 19. Let us try some different trick to drive multiples of 19 using multiples of 18 for natural numbers 11-20. The first 20 multiples of 19 can also be obtained by adding 1-10 natural numbers to the multiples of 18. For example, first 5 multiples of 18 are 18, 36, 54, 72, 90. Let us try adding natural number 1-5 and derive multiples of 19.
18 + 1 = 19
36 + 2 = 38
54 + 3 = 57
72 + 4 = 76
90 + 5 = 95 and so on.
Let us try to derive multiples of 19 from 11-20
| Multiples of 19 from 11-20 | |
| 19 × 11 = 209 | 19 × 16 = 304 |
| 19 × 12 = 228 | 19 × 17 = 323 |
| 19 × 13 = 247 | 19 × 18 = 342 |
| 19 × 14 = 266 | 19 × 19 = 361 |
| 19 × 15 = 285 | 19 × 20 = 380 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, and 60.
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, and 90.
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, and 100.
- Multiples of 9 - The first five multiples of 9 are 9, 18, 27, 36, and 45.
- Multiples of 11 - The first five multiples of 11 are 11, 22, 33, 44, and 55
Tips and Tricks:
- We can derive multiples of 19 with the help of multiples of 9.
- To obtain the multiples of 19, add natural numbers to the ten's digit of the multiples of 9.
- We can derive multiples of 19 by adding natural numbers to the multiples of 18.
- We can use skip counting method also to find multiples of 19 as shown in the image below.
FAQs on Multiples of 19
How do you find the multiples of 19?
Multiply any natural number with 19. For example, 19 × 2 = 38
38 is the 2nd multiple of 19.
What are the first 5 multiples of 19?
The first 5 multiples of 19 are 19, 38, 57, 76, and 95.
Are all multiples of 19 even?
No, all the multiples of 19 are not even. Some multiples of 19 are even and some are odd.
For example, 19 × 1 = 19, 19 is odd number
19 × 2 = 38, 38 is even number
What is the least common multiple of 19 and 119?
Here, we have to take factors of both the numbers first.
19 = 19 × 1
119 = 7 × 17
Hence, the least common multiple of the numbers 13 and 133 is 19 × 7 × 17 = 2261
What are the first 10 multiples of 19?
The first 10 multiples of 19 are 19, 38, 57, 76, 95, 114, 133, 152, 171, and 190.