Multiples

# What Are the Multiples of 13? | All Multiples of 13 up to 1000

Written by Prerit Jain

Updated on: 19 Mar 2024

### What Are the Multiples of 13? | All Multiples of 13 up to 1000

Multiples of 13: The first ten multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104, 117, and 130. The multiples of 13 are the numbers that can be completely divided by the number 13 without leaving any remainder.

With this article, you can get a clear idea of what are the multiples of 13, how to calculate them using the multiplication and repeated addition method, a list of multiples of 13 up to 1000, and a few solved examples related to the multiples of 13. Scroll down to find out more!

## What Are the Multiples of 13?

The multiples of 13 can be defined as the numbers that are completely divisible by 13 and do not leave any remainder, meaning the remainder of the division will be zero. You can calculate the multiples of 13 by multiplying the number 13 with a sequence of natural numbers like 1, 2, 3, 4, etc. In the table shown below, you see that 13 is getting multiplied repeatedly with a sequence of numbers from 1 to 10. The results obtained are termed as the multiples of 13.

## How to Find Multiples of 13?

To calculate the multiples of 13, you can use one of two simple mathematical methods: multiplication or repeated addition. The multiplication method is in which you simply multiply 13 by a series of whole numbers. The repeated addition method requires you to repeatedly add the number 13 in order to get the table of multiples of 13. To understand the two methods, look at the examples given below:

### Using the Multiplication Method to Find Multiples of 13

To obtain the multiples of 13 using the multiplication method, simply multiply the number 13 with the sequence of natural numbers. For example, to obtain the first five multiples of 13, multiply 13 with 1, 2, 3, 4, and 5.

Example:
13 X 1= 13
13 X 2= 26
13 X 3= 39
13 X 4= 52
13 X 5= 65

### Using the Repeated Addition Method to Find Multiples of 13

To obtain the first five multiples of 13, i.e., for the numbers 1, 2, 3, 4, and 5, by using the repeated addition method, simply add 13 with 0 to obtain the first multiple of 13, which will be 13, then add 13 with 13 to obtain the second multiple, which will be 26, then add 26 with 13 to obtain the third multiple of 13, which will be 39, and so on. See the example below:

Example:
13
13 + 13= 26
13 + 26= 39
13 + 39= 52
13 + 52= 65

## How To Find the First 20 Multiples of 13 Using the Multiplication Method?

The steps included in finding the first 20 multiples of 13 using the multiplication method are given below:

Step 1: To calculate the first 20 multiples of 13, first create a table with the sequence of numbers from 1 to 20.
Step 2: Now, using the repeated multiplication method, multiply 13 with the sequence of numbers from 1 to 20, as shown in the table below:

## Calculating Multiples of 13 Up to 1000

Here is a table of multiples of 13 up to 1000:

## What are the Odd Multiples of 13?

Some of the odd multiples of 13 are 13, 39, 26, 39, 65, 91, 117, 143, 169, 195, 221, 247, 273, 299,

## Solved Examples of Multiples of 13

Q 1: How to calculate the 13th multiple of 13?
A 1:
As we are calculating the 13th multiple of 13, let’s take 13 as “n”,
13 X n= 13n
13 X 13n= 169n.
Therefore, the 13th multiple of 13 is 169.

Q 2: How to calculate the first 10 multiples of 13?
A 2:
To calculate the first 10 multiples of 13 multiply 13 with a sequence of natural numbers like 1, 2, 3, 4, and so on:

Q 3: How to calculate the multiples of 13?
A 4:
You can find multiples of 13 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 13 to determine multiples of that number.
Example:
13 X 1 = 13 ,
13 X 2 = 26,
13 X 3 = 39 etc.,
2. Repeated Addition: Also you can find multiples of 13 by performing repeated addition.
Example:
13 + 13 = 26,
13 + 26 = 39 etc.,.

Q 4: What are the odd multiples of 13?
A 4:
Some of the odd multiples of 13 are 13, 39, 26, 39, 65, 91, 117, 143, 169, 195, 221, 247, 273, 299, etc.

Q 5: What is the 15th multiple of 13?
A 5:
As we are calculating the 15th multiple of 13, let’s take 15 as “n”,
13 X n= 13n
13 X 15n= 195n.
Therefore, the 15th multiple of 13 is 195.

Q 6: What are the even multiples of 13?
A 6:
Some of the even multiples of 13 are 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, etc.

Q 7: What is the sum of the first 5 multiples of 13?
A 7:
The first five multiples of 13 are 13, 26, 39, 52, and 65.
Now, let’s add the first five multiples, 13+26+39+52+65=195.
Therefore, the sum of the first five multiples of 13 is 195.

Q 8: Find the first five multiples of 13.
A 8:
To find the first five multiples of 13, you need to multiply 13 with a sequence of numbers from 1 to 5. So if we now multiply 13 by 1, 2, 3, 4, and 5 we will get 13X1=13, the first multiple of 13. 13X2=26, the second multiple of 13. 13X3=39, the third multiple of 13,13X4=52, the fourth multiple of 14, and 13X5=65, the fifth multiple of 13.
Hence, the first five multiples of 13 are 13, 26, 39, 52, and 65.

## FAQs on the Multiples of 13

What are the multiples of 13 up to 100?
The multiples of 13 up to 100 are 13, 26, 39, 52, 65, 78, and 91.

What multiples of 13 are between 25 and 70?
The multiples of 13 between 25 and 70 are 26, 39, 52, and 65.

What is the sum of the first 15 multiples of 13?
The first 15 multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, and 195.
Now, let’s add the 15 five multiples.
Therefore, the sum of the first 15 multiples of 13 is 1560.

List the first four multiples of 13.
The first four multiples of 13 are 13, 26, 39, and 52.

What are the first 6 multiples of 13?
The first 6 multiples of 13 are 13, 26, 39, 52, 65, and 78.

What are the multiples of 13 less than 100?
The multiples of 13 less than 100 are 13, 26, 39, 52, 65, 78, and 91.

What are all the multiples of 13?
As there are an infinite number of whole numbers that can be multiplied by 13, there are also an infinite number of multiples of 13.

How many multiples of 13 are between 100 and 1000?
In total, there are 73 multiples of 13 between 100 and 1000.

How many multiples of 13 are there up to 1000?
In total, there are 76 multiples of 13 up to 1000.

We hope the above blog has helped with your query and has added some educational value to your life.

Written by by

Prerit Jain

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