154 LearnersLast updated on May 26th, 2025
Multiples of 156
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 156.
What are the Multiples of 156?
Now, let us learn more about multiples of 156. Multiples of 156 are the numbers you get when you multiply 156 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 156 can be denoted as 156 × 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 156 × 1 will give us 156 as the product. Multiples of 156 will be larger or equal to 156.
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List of First 20 Multiples of 156
Multiples of 156 include the products of 156 and an integer. Multiples of 156 are divisible by 156 evenly. The first few multiples of 156 are given below:
| TABLE OF 156 (1-10) | |
|---|---|
|
156 x 1 = 156 |
156 x 6 = 936 |
|
156 x 2 = 312 |
156 x 7 = 1092 |
|
156 x 3 = 468 |
156 x 8 = 1248 |
|
156 x 4 = 624 |
156 x 9 = 1404 |
|
156 x 5 = 780 |
156 x 10 = 1560 |
| TABLE OF 156 (11-20) | |
|---|---|
|
156 x 11 = 1716 |
156 x 16 = 2496 |
|
156 x 12 = 1872 |
156 x 17 = 2652 |
|
156 x 13 = 2028 |
156 x 18 = 2808 |
|
156 x 14 = 2184 |
156 x 19 = 2964 |
|
156 x 15 = 2340 |
156 x 20 = 3120 |
Now, we know the first few multiples of 156. They are 0, 156, 312, 468, 624, 780, 936, 1092, 1248, 1404, 1560,...
Operations with Multiples of 156
Understanding the multiples of 156 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 156, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 156:
156, 312, 468, 624, and 780 are the first five multiples of 156. When multiplying 156 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
156 + 312 + 468 + 624 + 780 = 2340
When we add the first 5 multiples of 156, the answer will be 2340.
Subtraction of First 5 Multiples of 156:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 156, 312, 468, 624, and 780 are the first five multiples of 156. So, let us calculate it as given below:
156 - 312 = -156
-156 - 468 = -624
-624 - 624 = -1248
-1248 - 780 = -2028
Hence, the result of subtracting the first 5 multiples of 156 is -2028.
Average of First 5 Multiples of 156:
To calculate the average, we need to identify the sum of the first 5 multiples of 156, 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 156 is 2340.
156 + 312 + 468 + 624 + 780 = 2340
Next, divide the sum by 5:
2340 ÷ 5 = 468
468 is the average of the first 5 multiples of 156.
Product of First 5 Multiples of 156:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 156 include: 156, 312, 468, 624, and 780. Now, the product of these numbers is:
156 × 312 × 468 × 624 × 780 = 11,311,953,280
The product of the first 5 multiples of 156 is 11,311,953,280.
Division of First 5 Multiples of 156:
While we perform division, we get to know how many times 156 can fit into each of the given multiples. 156, 312, 468, 624, and 780 are the first 5 multiples of 156.
156 ÷ 156 = 1
312 ÷ 156 = 2
468 ÷ 156 = 3
624 ÷ 156 = 4
780 ÷ 156 = 5
The results of dividing the first 5 multiples of 156 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 156
While working with multiples of 156, 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 156. 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 156 refer to the products we get while multiplying 156 with other numbers. For example, multiples of 156 include 0, 156, 312, 468, 624, 780, 936, 1092, 1248, 1404, 1560, etc.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156. When 156 is divided by these numbers, the remainder will be zero. These are the factors of 156, meaning that these numbers can divide 156 without any remainder.
Factors of 156:
156 ÷ 1 = 156
156 ÷ 2 = 78
156 ÷ 3 = 52
156 ÷ 4 = 39
156 ÷ 6 = 26
156 ÷ 12 = 13
156 ÷ 13 = 12
156 ÷ 26 = 6
156 ÷ 39 = 4
156 ÷ 52 = 3
156 ÷ 78 = 2
156 ÷ 156 = 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 156 include 156, 312, 468, 624, 780, 936, ..... 1404, 1560, 1716, etc.
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 156, the result will still be a multiple of 156. For example, children may write:156 + 312 = 470 (which is wrong; the correct answer is 468)
This is incorrect because 470 is not a multiple of 156. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 156.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 156, and any other number, is zero, and it has a valid value. Remember this:
156 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 156 + 156 + 156 + 156 + 156. Instead of adding too many values, use multiplication. Calculate 156 × n for the nth multiple.
For example, instead of 156 + 156 + 156 + 156 + 156, calculate it as given below:
156 × 5 = 780
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Multiples of 156 Examples
Problem 1
A group of cyclists plan to travel a certain distance each week. If they cover 156 kilometers every week, how many kilometers will they have traveled after 6 weeks?
936 kilometers
Explanation
To find the total distance traveled after 6 weeks, we multiply the distance covered each week by the number of weeks.
Distance traveled each week = 156
Number of weeks = 6
156 × 6 = 936
Therefore, they will have traveled 936 kilometers.
Problem 2
In a factory, machines produce widgets in batches. Each batch contains 156 widgets. If the factory produces the first three batches in one day, how many widgets are produced that day?
468 widgets
Explanation
To find the total number of widgets produced, we calculate the first three multiples of 156.
156 × 1 = 156
156 × 2 = 312
156 × 3 = 468
Therefore, a total of 468 widgets are produced in one day.
Problem 3
In a library, each shelf has 156 books. If there are 5 such shelves, how many books are there in total in the library?
780 books
Explanation
To find the total number of books, we multiply the number of books per shelf by the number of shelves.
Number of shelves = 5
Number of books per shelf = 156
156 × 5 = 780
Therefore, there are 780 books in total in the library.
Problem 4
A gardener plants bushes in clusters. If each cluster contains 156 bushes and there are 4 clusters in the garden, how many bushes are there in total?
624 bushes
Explanation
To find the total number of bushes, we multiply the number of bushes per cluster by the number of clusters.
Number of clusters = 4
Number of bushes per cluster = 156
156 × 4 = 624
Therefore, there are 624 bushes in total in the garden.
Problem 5
A cargo ship is transporting containers. If each container can hold 156 boxes, and the ship carries 3 containers, how many boxes are being transported?
468 boxes
Explanation
To find the total number of boxes, we multiply the number of boxes per container by the number of containers.
Number of containers = 3
Number of boxes per container = 156
156 × 3 = 468
Therefore, a total of 468 boxes are being transported.
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FAQs on Multiples of 156
1.How do you find the multiples of 156?
2.What is the LCM of 12 and 156?
3.What are the real-life applications of Multiples of 156?
4.Are multiples of 156 finite or infinite?
5.Is there any odd multiple of 156?
6.How can poems help children in Philippines memorize the Multiplication Table and Multiples of 156?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 156 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 156?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 156 among early learners in Philippines?
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Important Glossaries for Multiples of 156
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 156 include 156, 312, 468, 624, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 156 are the numbers that consist of the number pattern of 156.
- Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 156 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156 are the divisors of 156.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 12 and 156 is 156.
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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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