103 LearnersLast updated on May 26th, 2025
Multiples of 63
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 63.
What are the Multiples of 63?
Now, let us learn more about multiples of 63. Multiples of 63 are the numbers you get when you multiply 63 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 63 can be denoted as 63 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 63 × 1 will give us 63 as the product. Multiples of 63 will be larger or equal to 63.
List of First 20 Multiples of 63
Multiples of 63 include the products of 63 and an integer. Multiples of 63 are divisible by 63 evenly. The first few multiples of 63 are given below:
| TABLE OF 63 (1-10) | |
|---|---|
|
63 x 1 = 63 |
63 x 6 = 378 |
|
63 x 2 = 126 |
63 x 7 = 441 |
|
63 x 3 = 189 |
63 x 8 = 504 |
|
63 x 4 = 252 |
63 x 9 = 567 |
|
63 x 5 = 315 |
63 x 10 = 630 |
| TABLE OF 63 (11-20) | |
|---|---|
|
63 x 11 = 693 |
63 x 16 = 1008 |
|
63 x 12 = 756 |
63 x 17 = 1071 |
|
63 x 13 = 819 |
63 x 18 = 1134 |
|
63 x 14 = 882 |
63 x 19 = 1197 |
|
63 x 15 = 945 |
63 x 20 = 1260 |
Operations with Multiples of 63
Understanding the multiples of 63 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 63, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 63:
63, 126, 189, 252, and 315 are the first five multiples of 63. When multiplying 63 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
63 + 126 + 189 + 252 + 315 = 945
When we add the first 5 multiples of 63, the answer will be 945.
Subtraction of first 5 Multiples of 63:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 63, 126, 189, 252, and 315 are the first five multiples of 63. So, let us calculate it as given below:
63 - 126 = -63
-63 - 189 = -252
-252 - 252 = -504
-504 - 315 = -819
Hence, the result of subtracting the first 5 multiples of 63 is -819.
Average of first 5 Multiples of 63:
To calculate the average, we need to identify the sum of the first 5 multiples of 63, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 63 is 945.
63 + 126 + 189 + 252 + 315 = 945
Next, divide the sum by 5:
945 ÷ 5 = 189
189 is the average of the first 5 multiples of 63.
Product of First 5 Multiples of 63:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 63 include: 63, 126, 189, 252, and 315. Now, the product of these numbers is:
63 × 126 × 189 × 252 × 315 = 1,260,215,680
The product of the first 5 multiples of 63 is 1,260,215,680.
Division of First 5 Multiples of 63:
While we perform division, we get to know how many times 63 can fit into each of the given multiples. 63, 126, 189, 252, and 315 are the first 5 multiples of 63.
63 ÷ 63 = 1
126 ÷ 63 = 2
189 ÷ 63 = 3
252 ÷ 63 = 4
315 ÷ 63 = 5
The results of dividing the first 5 multiples of 63 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 63
While working with multiples of 63, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 63. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 63 refer to the products we get while multiplying 63 with other numbers. For example, multiples of 63 include 0, 63, 126, 189, 252, 315, 378, 441, 504, 567, 630….
The factors of 63 are 1, 3, 7, 9, 21, and 63. When 63 is divided by these numbers, the remainder will be zero. These are the factors of 63, meaning that these numbers can divide 63 without any remainder.
Factors of 63:
63 ÷ 1 = 63
63 ÷ 3 = 21
63 ÷ 7 = 9
63 ÷ 9 = 7
63 ÷ 21 = 3
63 ÷ 63 = 1
Multiples of 63 Examples
Problem 1
Maya is organizing a charity event where each participant receives 63 raffle tickets. If 5 new participants join each week, how many raffle tickets will be distributed after 6 weeks?
1,890 raffle tickets
Explanation
Each week, 5 participants receive 63 tickets each. To find the total number of tickets distributed after 6 weeks, multiply the number of participants each week by 63, then multiply by the number of weeks.
Participants per week = 5
Tickets per participant = 63
Number of weeks = 6
5 × 63 × 6 = 1,890
Therefore, 1,890 raffle tickets will be distributed after 6 weeks.
Problem 2
In a music festival, a band plays a playlist where each set contains 63 songs. If they play the first three multiples of 63 songs throughout the day, how many songs do they play in total?
378 songs
Explanation
The first three multiples of 63 are calculated as follows:
63 × 1 = 63
63 × 2 = 126
63 × 3 = 189
Total songs played = 63 + 126 + 189 = 378
Therefore, the band plays a total of 378 songs.
Problem 3
A new video game awards players 63 points for every puzzle they solve. If a player solves 10 puzzles in one session, how many points do they earn?
630 points
Explanation
The player earns 63 points per puzzle. To find the total points for 10 puzzles, multiply the number of puzzles by the points per puzzle.
Puzzles solved = 10
Points per puzzle = 63
10 × 63 = 630
Therefore, the player earns 630 points.
Problem 4
In a factory, each machine produces 63 widgets per hour. If there are 4 machines working simultaneously, how many widgets are produced in 7 hours?
1,764 widgets
Explanation
Each machine produces 63 widgets per hour. To find the total number of widgets produced by all machines in 7 hours, multiply the number of widgets per machine by the number of machines and the number of hours.
Widgets per machine per hour = 63
Number of machines = 4
Number of hours = 7
63 × 4 × 7 = 1,764
Therefore, 1,764 widgets are produced.
Problem 5
A bookstore arranges its novels in stacks of 63. If the store has 3 stacks on display, how many novels are there in total?
189 novels
Explanation
Each stack contains 63 novels. To find the total number of novels, multiply the number of stacks by the novels per stack.
Number of stacks = 3
Novels per stack = 63
3 × 63 = 189
Therefore, there are 189 novels in total.
FAQs on Multiples of 63
1.How do you find the multiples of 63?
2.What is the LCM of 7 and 63?
3.What are the real-life applications of Multiples of 63?
4.Are multiples of 63 finite or infinite?
5.Is there any odd multiples of 63?
Important Glossaries for Multiples of 63
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 63 include 63, 126, 189, 252, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 63 are the numbers that consist of the number pattern of 63.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 63 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 7, 9, 21, and 63 are the divisors of 63.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 7 and 63 is 63.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
