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Multiples

What Are the Multiples of 19? | All Multiples of 19 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 19? | All Multiples of 19 up to 1000

What Are the Multiples of 19? | All Multiples of 19 up to 1000

Multiples of 19 are the list of natural numbers that divide 19 without leaving any remainder. There are an infinite number of multiples for the number 19. The first five multiples of 19 are 19, 38, 57, 76, and 95, and the prime factorization of 19 is 1 x 19.

We can find multiples of 19 by using either the multiplication method or the repeated addition method. In this article, we have provided all the necessary information to find multiples of 19 along with solved examples.

How to Find Multiples of 19?

Natural numbers are represented using “n”. Multiples of 19 are the products of n natural numbers. By multiplying 19 with n natural numbers, we can create n number of multiples for 19. In this article, we will calculate the multiples of 19 and we will learn some interesting facts about these multiples. The numbers that divide 19 without leaving any remainder are called multiples of 19.

For example,
57 divided by 19 leaves no remainder. In this case, 57 is a multiple of 19.

First ten multiples of 1919, 38, 57, 76, 95, 114, 133, 152, 171, and 190.

Multiples of 19 in Tabular Form

Below is a table that has 19 multiples in tabular form:

193857
7695114
133152171
190209228

How to Find Multiples of 19?

To find multiples of the number 19, we have to do repeated addition of the numeral 19 or multiply the digit 19 with a sequence of natural numbers. The steps to find 19 multiples using the repeated addition and multiplication method have been given below:

Addition MethodDivision Method
19 + 0 = 1919 X 0 = 19
19 + 19 = 3819 X 2 = 38

Finding First 20 Multiples of 19 Using Multiplication Method

When we multiply the natural numbers (counting numbers) from 1 to 20, they are called the first 20 multiples of 19. We have provided the steps in table form for your better understanding.

19 x 119
19 x 238
19 x 357
19 x 476
19 x 595
19 x 6114
19 x 7133
19 x 8152
19 x 9171
19 x 10190
19 x 11209
19 x 12228
19 x 13247
19 x 14266
19 x 15285
19 x 16304
19 x 17323
19 x 18342
19 x 19361
19 x 20380

What Are the Multiples of 19 up to 1000?

The multiples of 19 up to 1000 are given below:

01938577695
114133152171190209
228247266285304323
342361380399418437
456475494513532551
570589608627646665
684703722741760779
798817836855874893
9129319509699881007

Properties of Multiples of 19

  • When the number 19 gets multiplied by a single number, the product is written twice as the natural number.
  • All the multiples of 19 are greater than or equal to the number 19.
  • There are an infinite number of multiples of the number 19.
  • A number that is divisible by 19 is the sum of numbers in odd places.
  • The smallest multiple of 19 is the number 19 itself.

Tips and Tricks to Find the Multiples of 19

  • By using the multiples of 9, we can derive the multiples of 19.
  • When we add natural numbers to the ten’s digit we can derive the multiples of 19.
  • When we add natural numbers to the multiples of 18, we can derive the multiples of 19.

Solved Examples on Multiples of 19

Question 1: How do you find multiples of 19?
Answer: To find multiples of 19, you will have to multiply the number 19 with a sequence of natural numbers. Alternatively, using the repeated addition method, you can find multiples of 19.

Question 2: What are the multiples of 19 between 30 and 350?
Answer: There are a total of 16 multiples for the number 19 between 30 and 350.
And the numbers between 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, and 342 are the 16 multiples between 30 and 350.

Question 3: What is the sum of the first 6 multiples of 19?
Answer: The first 6 multitudes of 19 are: 19, 38, 57, 76, 95, and 114.
19 + 38 + 57 + 76 + 95 + 114 = 399
So, 399 is the sum of the first 6 multitudes of 19.

Question 4: What are the first 9 multiples of 19?
Answer: 19, 38, 57, 76, 95, 114, 133, 152, and 171 are the first 9 multiples of 11.
19 x 1 = 19
19 x 2 = 38
19 x 3 = 57
19 x 4 = 76
19 x 5 = 95
19 x 6 = 114
19 x 7 = 133
19 x 8 = 152
19 x 9 = 171

Question 5: Is 119 a multiple of 19 yes, or no?
Answer: No, since dividing 119 with 19 leaves a remainder.

Question 6: Is 361 a multiple of 19 yes, or no?
Answer: Yes, 361 is a 19 multiple.
As 19 x 19 = 361.

FAQs on Multiples of 19

What are the multiples of 19 up to 90?
19, 38, 57, and 76 are the 19 multiples up to 90.

Are the multiples of 19 always even?
Some are even and some are not when it comes to 19 multiples.

What are the common multiples of 19 and 3?
The common multiples of 19 and 3 are 57.

What are the first 5 multiples of 19?
19, 38, 57, 76, and 95 are the first 5 multiples of 19.

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We hope this article on multiples of 19 is helpful to you.

Written by

Prerit Jain

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