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Last updated on December 11, 2025

Table of 513

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A times table is a chart that shows the results of multiplying a number with whole numbers. Learning the times table helps kids understand multiplication. We use an algebraic system to define multiplication operations, construction, estimation, schoolwork, exams, etc. In this topic, we will learn about the table of 513.

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What is the Multiplication Table of 513?

Multiplication was used by people over 4000 years ago. Babylonians were considered the first to use it on clay tablets. Multiplication tables are created as a result of people's search for easier ways to solve problems.

 

Learning multiplication tables has numerous advantages. Kids can answer quickly if they know their times table. It also helps to enhance their understanding skills. Being more familiar with the tables improves children's memory and confidence.

 

Multiplying whole numbers (1, 2, 3, 4, 5, and so on) by 513 gives the product of the multiplication table of 513.

 

Here are some examples:

 

513 × 1 = 513  
513 × 2 = 513 + 513 = 1,026  
513 × 3 = 513 + 513 + 513 = 1,539  
513 × 4 = 513 + 513 + 513 + 513 = 2,052  
513 × 5 = 513 + 513 + 513 + 513 + 513 = 2,565  

 

513, 1,026, 1,539, 2,052, 2,565, and so on are multiples of 513.

table of 513 chart

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513 Times Table Chart

The 513 times table chart shows the multiples of 513. Every result in the chart is obtained by multiplying 513 with other whole numbers, like 1 to 10, and so on.

 
For example:  
513 × 10 = 5,130  
513 × 11 = 5,643  
513 × 12 = 6,156, and so on.
 

TABLE OF 513 (1-10)

513 x 1 = 513

513 x 6 = 3078

513 x 2 = 1026

513 x 7 = 3591

513 x 3 = 1539

513 x 8 = 4104

513 x 4 = 2052

513 x 9 = 4617

513 x 5 = 2565

513 x 10 = 5130

 

TABLE OF 513 (11-20)

513 x 11 = 5643

513 x 16 = 8208

513 x 12 = 6156

513 x 17 = 8721

513 x 13 = 6669

513 x 18 = 9234

513 x 14 = 7182

513 x 19 = 9747

513 x 15 = 7695

513 x 20 = 10260

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Tips and Tricks for the Multiplication Table of 513

Understanding the multiplication table of 513 can be challenging because of the larger number involved. But with tips and tricks, it becomes easier. Let’s look into some:  


Break the numbers into smaller parts: Breaking the numbers into smaller parts makes it easy to learn multiplication.  


For example, 513 × 4  

 

Here, 513 can break into 500 + 13  

 

(500 × 4) + (13 × 4) = 2,000 + 52  = 2,052.

 

Use of flashcards:On one side of the flashcard, write the multiplication problems.

 
For example:  
Front: 513 × 3  
Back: 1,539.

 

Repeated patterns:The unit digits in the 513 times table repeat every 5 multiples.  


For example: The unit digits repeat in the cycle: 3, 6, 9, 2, 5. After every 5 multiples, the cycle restarts.

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Common Mistakes and How to Avoid Them in Table of 513

While working on the tables of 513, it's common for kids to make some errors. Here are some common mistakes that kids make and tips on how to avoid them.

Mistake 1

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Overlooking zero place value in the products.

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Always ensure proper placement of zero placeholders by clearly aligning and separating the digits in your calculation. For accuracy, double-check your result. For example: writing 513 × 10 as 5,130 without aligning it clearly as 5,130.

Mistake 2

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Misusing the shortcut

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Always verify the shortcut method you are using. For 513 × 10, the approach is 513 × 9 + 513 = 4,617 + 513 = 5,130. Try to write the steps clearly and double-check your method properly.

Mistake 3

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Reversing the digits.

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Sometimes students reverse the digits, for example, 315 instead of 513. Double-check your work to ensure the digits are correct. Track each step carefully and review the result to avoid swapping digits. Write out full steps if needed.

Mistake 4

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Misplacing the decimal points

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Incorrectly placing the decimal points while calculating the larger number. To avoid decimal mistakes, ensure digits are aligned correctly and no decimal point is added unless needed. Always double-check the result. For example, 513 × 6 = 3,078 instead of 513 × 6 = 30.78.

Mistake 5

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Forgetting to carry the digits over

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To avoid forgetting to carry digits, slow down and double-check each step before moving on.

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Table of 513 Examples

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Problem 1

A warehouse receives a shipment of 513 crates, and each crate contains 513 items. How many individual items are in the shipment?

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263,169 items.

Explanation

To find the total number of items, multiply the number of crates by the number of items each crate contains:  
513 × 513 = 263,169 items.
 

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Problem 2

A concert hall sells premium seats for 513 units each. If they sell 7 premium seats, what is the total revenue from these seats?

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3,591 units.

Explanation

Calculate the total revenue by multiplying the price per premium seat by the number of seats sold:  
513 × 7 = 3,591 units.
 

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Problem 3

A university has 513 classrooms, and each classroom accommodates 12 students. What is the total student capacity of the university?

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6,156 students.

Explanation

The total student capacity is found by multiplying the number of classrooms by the number of students each can accommodate:  513 × 12 = 6,156 students.
 

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Problem 4

A manufacturing plant produces 513 meters of fabric every hour. How much fabric will be produced in 15 hours?

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7,695 meters. 

Explanation

To find the total fabric production, multiply the meters produced per hour by the number of hours:  513 × 15 = 7,695 meters.
 

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Problem 5

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4,617 hours.

Explanation

The total number of work hours is the product of the number of employees and the hours they work each day:  
513 × 9 = 4,617 hours.
 

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FAQs on Table of 513

1.What are the factors of 513?

1, 3, 171, and 513 are the factors of 513. 

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2.What are the multiples of 513?

513, 1,026, 1,539, 2,052, 2,565, 3,078, 3,591, 4,104, 4,617, 5,130, and so on. These are the multiples of 513.

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3.How can kids practice the table of 513? To practice the table of 513, kids can use flashcards, puzzles, games, and practice.

To practice the table of 513, kids can use flashcards, puzzles, games, and practice.

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4.What is the pattern of the table of 513?

 The table of 513 follows the pattern of 3, 6, 9, 2, and 5. 

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5.Is 513 a prime number?

No, 513 is not a prime number because it can be divided by 3 and 171.

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Important Glossaries for Multiplication Table of 513

  • Multiplication Table: A chart or list that shows the results of multiplying a number with whole numbers.

 

  • Product: The result of multiplying two numbers.

 

  • Multiple: A number that can be divided by another number without leaving a remainder.

 

  • Factors: Numbers that can be multiplied together to get another number.

 

  • Flashcards: Cards used as a learning aid, with questions on one side and answers on the other.
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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