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 minilesson, 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 120 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 1120. The first 20 multiples of 19 can also be obtained by adding 110 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 15 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 1120
Multiples of 19 from 1120  
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.
Multiples of 13 Solved Examples

Example 1: Tim is trying to calculate the sum of the first 5 multiples of 19. Let us help Tim in calculating the same using the table of 19.
Solution:
The first five multiples of 19 are:
 19 × 1 = 19
 19 × 2 = 38
 19 × 3 = 57
 19 × 4 = 76
 19 × 5 = 95
Adding the multiples 19 + 38 + 57 + 76 + 95 = 285. Thus, the sum is 285.
Do you know 19 × 15 = 285?285 is a 15^{th} multiple of 19.

Example 2: If one coconut candy costs 10 cents, using the multiples of 19, estimate the cost of 19 coconut candies?
Solution:
1 candy = 10 cents; therefore, by using multiples of 19,
19 candies = 19 × 10 = 190 cents
Thus, the cost of 19 coconut candies is 190 cents. 
Example 3: Using multiples of 19 evaluate 19 times 8 times 9.
Solution:
First, we will write 19 times 8 times 9 mathematically.
Using the multiples of 19, we have: 19 times 8 times 9 = 19 × 8 × 9 = 1368
Thus, 19 times 8 times 9 is 1368.
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.
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