Multiples

# What Are the Multiples of 14? | All Multiples of 14 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

### What Are the Multiples of 14? | All Multiples of 14 up to 1000

The multiples of 14 are the numbers that are a result of multiplying 14 with an integer. An integer includes all the positive numbers, negative numbers, and zero.

When you multiply a natural number by 14, the product is a multiple of 14. For example, 14 X 1 = 14. Here, you can see that the number 1 is multiplied by 14 and the result is 14, which is a multiple of 14.

In this article, we will discuss the multiples of 14, how to calculate the multiples of 14, and multiples of 14 up to 1000, along with some solved examples.

## What are the Multiples of 14?

Multiples of 14 can be defined as numbers that are completely divisible by 14 without leaving anything in the remainder and a natural number in the quotient. In other words, if we take a series of natural numbers like 1, 2, 3, etc., and multiply them by 14, the results of that multiplication can be termed as the multiples of 14.

This means that any number that can be expressed in the form of 14n, where n is an integer, will be multiplied by 14. So, for example, when there are two values a and b, it can be said that a is a multiple of b if a=nb for some integer n.

## How To Calculate Multiples of 14?

We can calculate the multiples of 14 using the multiplication method or the repeated addition method of mathematics. In the multiplication method, we simply multiply 14 with a sequence of natural numbers like 1, 2, 3, 4, etc. In the repeated addition method, we need to repeatedly add the number 14 in order to get the table of multiples of 14. To understand the two methods, examples are given below:

### Using the Multiplication Method to Find the Multiples of 14

You can use the multiplication method of mathematics to calculate the multiples of 14. Here, you need to multiply a sequence of natural numbers like 1, 2, 3, 4, etc by 13 to get the list of multiples of 14. An example of the multiples of 14 using the multiplication method is given below:

Therefore, by using the multiplication method, we have calculated the multiples of 14 which are 14, 28, 42, 56, and 70.

### Using the Repeated Addition Method to Find the Multiples of 14

Using the repeated method to find the multiples of 14  you have to perform a series of repeated additions. For example, to calculate the first five multiples of 14, simply start by adding 14 to 0 to obtain the first multiple of 14, which is 14. Then calculate the second multiple of 14. Simply add the first multiple of 14 with 14 and the result is the second multiple of 28, and so on. An example of the multiples of 14 using the repeated addition method is given below:

Therefore, by using the repeated addition method, we have calculated the multiples of 14 which are 14, 28, 42, 56, and 70.

## How To Find the First 20 Multiples of 14 Using the Multiplication Method?

The steps included in finding the first 20 multiples of 14 using the multiplication method are given below:

## Calculating Multiples of 14 Up to 1000

Here is a table of multiples of 14 up to 1000:

## Solved Examples of Multiples of 14

Q 1: Find the least common multiples of 14 and 21.
A 1:
The first five multiples of 14 are 14, 28, 42, 56, and 70.
The first five multiples of 21 are 21, 42, 63, 84, and 108.
Therefore, the least common or the lowest common multiples of 14 and 21 is 42.

Q 2: What are all the multiples of 14?
A 2:
Since there are an infinite amount of natural numbers that can be multiplied by 14 that’s why there are an infinite number of multiples of 14.

Q 3: How to calculate the 14th multiple of 14?
A 3:
As we are calculating the 14th multiple of 14, let’s take 14 as “n”,
14 X n= 14n
14 X 14n= 169n.
Therefore, the 14th multiple of 14 is 196.

Q 4: How to calculate the first 10 multiples of 14?
A 4:
To calculate the first 10 multiples of 14 multiply 14 with a sequence of natural numbers like 1, 2, 3, 4, and so on:

Q 5:How to calculate the multiples of 14?
A 5:
You can find multiples of 14 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 14 to determine multiples of that number.
Example:
14 X 1 = 14 ,
14 X 2 = 28,
14 X 3 = 42 etc.,
2. Repeated Addition: Also you can find multiples of 14 by performing repeated addition.
Example:
14 + 14 = 28,
14 + 28 = 42 etc.

## FAQs on Multiples of 14

What are the first five multiples of 14?
The first five multiples of 14 are 14, 28, 42, 56, and 70.

What are the multiples of 14 up to 100?
The multiples of 14 up to 100 are 14, 28, 42, 56, 70, 84, and 98.

Find the least common multiples of 14 and 35.
The first five multiples of 14 are 14, 28, 42, 56, and 70.
The first five multiples of 35 are 35, 70, 105, 140, and 175.
Therefore, the least common or the lowest common multiple of 14 and 35 is 70.

What are the multiples of 14 between 142 and 223?
The multiples of 14 between 142 and 223 are 140, 154, 168, 182, 196, and 210.

Find the least common multiple of 14 and 16.
The first five multiples of 14 are 14, 28, 42, 56, 70, 84, 98, and 112.
The first five multiples of 16 are 16, 32, 48, 64, 80, 96, and 112.
Therefore, the least or the lowest common multiple of 14 and 16 is 112.

As we have learned in the above article, multiples of 14 can be calculated using the multiplication or repeated addition methods of mathematics. Both are simple and easy methods. We hope the above blog has helped you learn all about multiples of 14

Written by by

Prerit Jain

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