3075 LearnersLast updated on May 26th, 2025
Multiples of 51
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 51.
What are the Multiples of 51?
Now, let us learn more about multiples of 51. Multiples of 51 are the numbers you get when you multiply 51 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 51 can be denoted as 51 × 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 51 × 1 will give us 51 as the product.
Multiples of 51 will be larger or equal to 51.
List of First 20 Multiples of 51
Multiples of 51 include the products of 51 and an integer. Multiples of 51 are divisible by 51 evenly. The first few multiples of 51 are given below:
| TABLE OF 51 (1-10) | |
|---|---|
|
51 x 1 = 51 |
51 x 6 = 306 |
|
51 x 2 = 102 |
51 x 7 = 357 |
|
51 x 3 = 153 |
51 x 8 = 408 |
|
51 x 4 = 204 |
51 x 9 = 459 |
|
51 x 5 = 255 |
51 x 10 = 510 |
| TABLE OF 51 (11-20) | |
|---|---|
|
51 x 11 = 561 |
51 x 16 = 816 |
|
51 x 12 = 612 |
51 x 17 = 867 |
|
51 x 13 = 663 |
51 x 18 = 918 |
|
51 x 14 = 714 |
51 x 19 = 969 |
|
51 x 15 = 765 |
51 x 20 = 1020 |
Now, we know the first few multiples of 51. They are 0, 51, 102, 153, 204, 255, 306, 357, 408, 459, 510,...
Operations with Multiples of 51
Understanding the multiples of 51 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 51, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 51:
51, 102, 153, 204, and 255 are the first five multiples of 51. When multiplying 51 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
51 + 102 + 153 + 204 + 255 = 765
When we add the first 5 multiples of 51, the answer will be 765.
Subtraction of First 5 Multiples of 51:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 51, 102, 153, 204, and 255 are the first five multiples of 51. So, let us calculate it as given below:
51 - 102 = -51
-51 - 153 = -204
-204 - 204 = -408
-408 - 255 = -663
Hence, the result of subtracting the first 5 multiples of 51 is -663.
Average of First 5 Multiples of 51:
To calculate the average, we need to identify the sum of the first 5 multiples of 51 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 51 is 765.
51 + 102 + 153 + 204 + 255 = 765
Next, divide the sum by 5:
765 ÷ 5 = 153
153 is the average of the first 5 multiples of 51.
Product of First 5 Multiples of 51:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 51 include: 51, 102, 153, 204, and 255. Now, the product of these numbers is:
51 × 102 × 153 × 204 × 255 = 408,492,420
The product of the first 5 multiples of 51 is 408,492,420.
Division of First 5 Multiples of 51:
While we perform division, we get to know how many times 51 can fit into each of the given multiples. 51, 102, 153, 204, and 255 are the first 5 multiples of 51.
51 ÷ 51 = 1
102 ÷ 51 = 2
153 ÷ 51 = 3
204 ÷ 51 = 4
255 ÷ 51 = 5
The results of dividing the first 5 multiples of 51 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 51
While working with multiples of 51, 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 51. 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 51 refer to the products we get while multiplying 51 with other numbers. For example, multiples of 51 include 0, 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, etc.
The factors of 51 are 1, 3, 17, and 51. When 51 is divided by 1, 3, 17, and 51, the remainder will be zero. These are the factors of 51 meaning that these numbers can divide 51 without any remainder.
Factors of 51:
51 ÷ 1 = 51
51 ÷ 3 = 17
51 ÷ 17 = 3
51 ÷ 51 = 1
Multiples of 51 Examples
Problem 1
A group of artists is creating a mural composed of small tiles. Each artist contributes 51 tiles. If there are 6 artists working on the mural, how many tiles will they have in total?
306 tiles
Explanation
Each artist contributes 51 tiles. To find the total number of tiles, we multiply the number of artists by the tiles each contributes.
Number of artists = 6
Tiles per artist = 51
51 × 6 = 306
Therefore, the mural will have 306 tiles in total.
Problem 2
In a music festival, each set performed by a band lasts 51 minutes. If three bands perform consecutively, what is the total duration of the music played?
153 minutes
Explanation
Each band performs for 51 minutes. To find the total music played, we use multiplication.
Duration of each performance = 51 minutes
Number of performances = 3
51 × 3 = 153
Thus, the total duration of the music played is 153 minutes.
Problem 3
A warehouse stores crates of oranges. Each crate holds 51 oranges. If there are 4 stacks of crates and each stack has 4 crates, how many oranges are there in total?
816 oranges
Explanation
First, calculate the total number of crates by multiplying the number of stacks by the number of crates per stack. Then, multiply by the number of oranges per crate.
Number of stacks = 4
Crates per stack = 4
Oranges per crate = 51
Total crates = 4 × 4 = 16
Total oranges = 16 × 51 = 816
Therefore, there are 816 oranges in total.
Problem 4
A factory produces gadgets in batches. Each batch contains 51 gadgets. If the factory produces 7 batches in a week, how many gadgets are produced in total?
357 gadgets
Explanation
To find the total number of gadgets produced, multiply the number of batches by the number of gadgets per batch.
Batches produced = 7
Gadgets per batch = 51
51 × 7 = 357
Hence, the factory produces 357 gadgets in a week.
Problem 5
In a library, each section contains 51 books. If there are 5 sections in the library, how many books are there in total?
255 books
Explanation
To find the total number of books, multiply the number of sections by the number of books per section.
Number of sections = 5
Books per section = 51
51 × 5 = 255
Therefore, the library contains a total of 255 books.
FAQs on Multiples of 51
1.How do you find the multiples of 51?
2.What is the LCM of 17 and 51?
3.What are the real-life applications of Multiples of 51?
4.Are multiples of 51 finite or infinite?
5.Is there any odd multiples of 51?
6.How can poems help children in Philippines memorize the Multiplication Table and Multiples of 51?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 51 challenges for kids in Philippines?
8.How do language and cultural differences in Philippines affect the way children learn the Multiplication Table and Multiples of 51?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 51 among early learners in Philippines?
Important Glossaries for Multiples of 51
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 51 include 51, 102, 153, 204, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 51 are the numbers that consist of the number pattern of 51.
- 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 51 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 17, and 51 are the divisors of 51.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 17 and 51 is 51.
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Seyed Ali Fathima S
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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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