136 LearnersLast updated on May 26th, 2025
Multiples of 159
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 159.
What are the Multiples of 159?
Now, let us learn more about multiples of 159. Multiples of 159 are the numbers you get when you multiply 159 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 159 can be denoted as 159 × 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 159 × 1 will give us 159 as the product. Multiples of 159 will be larger or equal to 159.
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List of First 20 Multiples of 159
Multiples of 159 include the products of 159 and an integer. Multiples of 159 are divisible by 159 evenly. The first few multiples of 159 are given below:
| TABLE OF 159 (1-10) | |
|---|---|
|
159 × 1 = 159 |
159 × 6 = 954 |
|
159 × 2 = 318 |
159 × 7 = 1113 |
|
159 × 3 = 477 |
159 × 8 = 1272 |
|
159 × 4 = 636 |
159 × 9 = 1431 |
|
159 × 5 = 795 |
159 × 10 = 1590 |
| TABLE OF 159 (11-20) | |
|---|---|
|
159 × 11 = 1749 |
159 × 16 = 2544 |
|
159 × 12 = 1908 |
159 × 17 = 2703 |
|
159 × 13 = 2067 |
159 × 18 = 2862 |
|
159 × 14 = 2226 |
159 × 19 = 3021 |
|
159 × 15 = 2385 |
159 × 20 = 3180 |
Now, we know the first few multiples of 159. They are 0, 159, 318, 477, 636, 795, 954, 1113, 1272, 1431, 1590,...
Operations with Multiples of 159
Understanding the multiples of 159 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 159, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 159:
159, 318, 477, 636, and 795 are the first five multiples of 159. When multiplying 159 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
159 + 318 + 477 + 636 + 795 = 2385
When we add the first 5 multiples of 159, the answer will be 2385.
Subtraction of first 5 Multiples of 159:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 159, 318, 477, 636, and 795 are the first five multiples of 159. So, let us calculate it as given below:
159 - 318 = -159
-159 - 477 = -636
-636 - 636 = -1272
-1272 - 795 = -2067
Hence, the result of subtracting the first 5 multiples of 159 is -2067.
Average of first 5 Multiples of 159:
To calculate the average, we need to identify the sum of the first 5 multiples of 159, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 159 is 2385.
159 + 318 + 477 + 636 + 795 = 2385
Next, divide the sum by 5:
2385 ÷ 5 = 477
477 is the average of the first 5 multiples of 159.
Product of First 5 Multiples of 159:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 159 include: 159, 318, 477, 636, and 795. Now, the product of these numbers is:
159 × 318 × 477 × 636 × 795 = 30,733,294,680
The product of the first 5 multiples of 159 is 30,733,294,680.
Division of First 5 Multiples of 159:
While we perform division, we get to know how many times 159 can fit into each of the given multiples. 159, 318, 477, 636, and 795 are the first 5 multiples of 159.
159 ÷ 159 = 1
318 ÷ 159 = 2
477 ÷ 159 = 3
636 ÷ 159 = 4
795 ÷ 159 = 5
The results of dividing the first 5 multiples of 159 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 159
While working with multiples of 159, 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 159. 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 159 refer to the products we get while multiplying 159 with other numbers. For example, multiples of 159 include 0, 159, 318, 477, 636, 795, 954, 1113, 1272, 1431, 1590,….
The factors of 159 are 1, 3, 53, and 159. When 159 is divided by 1, 3, 53, and 159, the remainder will be zero. These are the factors of 159 meaning that these numbers can divide 159 without any remainder.
Factors of 159:
159 ÷ 1 = 159
159 ÷ 3 = 53
159 ÷ 53 = 3
159 ÷ 159 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 159 include 159, 318, 477, 636, 795, 954, …..1590, 1749,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 159, the result will still be a multiple of 159. For example, children may write, 159 + 318 = 478, (which is wrong and the correct answer is 477)
This is incorrect because 478 is not a multiple of 159. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 159.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 159, and any other number, is zero; it has a valid value. Remember this:
159 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 159 + 159 + 159 + 159 + 159. Instead of adding too many values, use multiplication. Calculate 159 × n for the nth multiple.
For example, instead of 159 + 159 + 159 + 159 + 159, calculate it as given below:
159 × 5 = 795
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Multiples of 159 Examples
Problem 1
Amelia is organizing a charity event where she plans to distribute packs of notebooks. Each pack contains 159 notebooks. If she distributes 159 packs every month for 3 months, how many notebooks will she distribute in total?
47,700 notebooks
Explanation
Each month, Amelia distributes 159 packs. To find the total number of notebooks distributed after 3 months, multiply the number of packs by the number of notebooks in each pack and then by the number of months.
- Number of packs per month = 159
- Number of months = 3
[ 159 times 3 = 477 ] (total packs over 3 months)
[ 477 times 159 = 75,843 ] (total notebooks)
Therefore, Amelia distributes 75,843 notebooks in total.
Problem 2
In a gaming competition, each player earns points in multiples of 159. The first three players earned points equivalent to the first three multiples of 159. How many points did each player earn?
The first three multiples of 159 are 159, 318, and 477. The first player earned 159 points, the second player earned 318 points, and the third player earned 477 points.
Explanation
Explanation: The multiples of 159 are calculated as follows:
[ 159 times 1 = 159 ]
[ 159 times 2 = 318 ]
[ 159 times 3 = 477 ]
Therefore, the first player earned 159 points, the second player earned 318 points, and the third player earned 477 points.
Problem 3
A factory produces 159 widgets in each batch. If they run 5 batches in a day, how many widgets are produced in one day?
795 widgets
Explanation
To find the total number of widgets produced in a day, multiply the number of batches by the number of widgets per batch.
- Number of batches per day = 5
- Widgets per batch = 159
[ 5 times 159 = 795 ]
Therefore, the factory produces 795 widgets in one day.
Problem 4
A library organizes its books in sets that contain 159 books each. There are 7 such sets in the library. How many books are there in total?
1,113 books
Explanation
To find the total number of books, multiply the number of sets by the number of books per set.
- Number of sets = 7
- Books per set = 159
[ 7 times 159 = 1,113 ]
Therefore, there are 1,113 books in total in the library.
Problem 5
A company has a marketing campaign where they send out brochures in batches of 159. The first shipment contains 159 brochures, the second contains 318 brochures, and the third shipment contains 477 brochures. How many brochures are sent out in total?
954 brochures
Explanation
The first shipment contains 159 brochures, the second contains 318, and the third contains 477. To find the total, sum the brochures from each shipment:
[ 159 + 318 + 477 = 954 ]
Therefore, a total of 954 brochures are sent out.
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FAQs on Multiples of 159
1.How do you find the multiples of 159?
2.What is the LCM of 7 and 159?
3.What are the real-life applications of Multiples of 159?
4.Are multiples of 159 finite or infinite?
5.Is there any odd multiples of 159?
6.How can poems help children in Philippines memorize the Multiplication Table and Multiples of 159?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 159 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 159?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 159 among early learners in Philippines?
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Important Glossaries for Multiples of 159
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 159 include 159, 318, 477, 636, etc.
- 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. Odd multiples of 159 are possible as it is an odd number.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 53, and 159 are the divisors of 159.
- LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 159 is 1113.
- Natural number: These are counting numbers starting from 1, 2, 3, and so on. Multiples are derived by multiplying a number by natural numbers.
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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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