187 LearnersLast updated on May 26th, 2025
Multiples of 37
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 37.
What are the Multiples of 37?
Now, let us learn more about multiples of 37. Multiples of 37 are the numbers you get when you multiply 37 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 37 can be denoted as 37 × 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 37 × 1 will give us 37 as the product. Multiples of 37 will be larger or equal to 37.
List of First 20 Multiples of 37
Multiples of 37 include the products of 37 and an integer. Multiples of 37 are divisible by 37 evenly. The first few multiples of 37 are given below:
| TABLE OF 37 (1-10) | |
|---|---|
|
37 x 1 = 37 |
37 x 6 = 222 |
|
37 x 2 = 74 |
37 x 7 = 259 |
|
37 x 3 = 111 |
37 x 8 = 296 |
|
37 x 4 = 148 |
37 x 9 = 333 |
|
37 x 5 = 185 |
37 x 10 = 370 |
| TABLE OF 37 (11-20) | |
|---|---|
|
37 x 11 = 407 |
37 x 16 = 592 |
|
37 x 12 = 444 |
37 x 17 = 629 |
|
37 x 13 = 481 |
37 x 18 = 666 |
|
37 x 14 = 518 |
37 x 19 = 703 |
|
37 x 15 = 555 |
37 x 20 = 740 |
Now, we know the first few multiples of 37. They are 0, 37, 74, 111, 148, 185, 222, 259, 296, 333, 370,...
Operations with Multiples of 37
Understanding the multiples of 37 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 37, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 37:
37, 74, 111, 148, and 185 are the first five multiples of 37. When multiplying 37 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
37 + 74 + 111 + 148 + 185 = 555
When we add the first 5 multiples of 37, the answer will be 555.
Subtraction of first 5 Multiples of 37:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 37, 74, 111, 148, and 185 are the first five multiples of 37. So, let us calculate it as given below:
37 - 74 = -37
-37 - 111 = -148
-148 - 148 = -296
-296 - 185 = -481
Hence, the result of subtracting the first 5 multiples of 37 is -481.
Average of first 5 Multiples of 37:
To calculate the average, we need to identify the sum of the first 5 multiples of 37, 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 37 is 555.
37 + 74 + 111 + 148 + 185 = 555
Next, divide the sum by 5:
555 ÷ 5 = 111
111 is the average of the first 5 multiples of 37.
Product of First 5 Multiples of 37:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 37 include 37, 74, 111, 148, and 185. Now, the product of these numbers is:
37 × 74 × 111 × 148 × 185 = 81,496,020
The product of the first 5 multiples of 37 is 81,496,020.
Division of First 5 Multiples of 37:
While we perform division, we get to know how many times 37 can fit into each of the given multiples. 37, 74, 111, 148, and 185 are the first 5 multiples of 37.
37 ÷ 37 = 1
74 ÷ 37 = 2
111 ÷ 37 = 3
148 ÷ 37 = 4
185 ÷ 37 = 5
The results of dividing the first 5 multiples of 37 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 37
While working with multiples of 37, 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 37. 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 37 refer to the products we get while multiplying 37 with other numbers. For example, multiples of 37 include 0, 37, 74, 111, 148, 185, 222, 259, 296, 333, 370….
The factors of 37 are 1 and 37. When 37 is divided by 1 and 37, the remainder will be zero. These are the factors of 37 meaning that these numbers can divide 37 without any remainder.
Factors of 37:
37 ÷ 1 = 37
37 ÷ 37 = 1
Multiples of 37 Examples
Problem 1
Tina's bakery sells cupcakes in boxes, with each box containing 37 cupcakes. Over the course of a week, they sell cupcakes in complete boxes. How many cupcakes do they sell if they sell 5 boxes in a week?
185 cupcakes
Explanation
Each box contains 37 cupcakes. To find the total number of cupcakes sold in 5 boxes, we multiply the number of cupcakes per box by the number of boxes sold.
Cupcakes per box = 37
Number of boxes sold = 5
37 × 5 = 185
They sell 185 cupcakes in a week.
Problem 2
In a science experiment, three students are collecting water samples in the following order: the first collects 37 samples, the second collects twice that amount, and the third collects three times the initial amount. How many samples do they collect in total?
259 samples
Explanation
The first student collects 37 samples. The second student collects twice that amount, and the third collects three times the initial amount.
First student: 37
Second student: 37 × 2 = 74
Third student: 37 × 3 = 111
Total samples collected: 37 + 74 + 111 = 222
Therefore, they collect a total of 222 samples.
Problem 3
A local art exhibition has 37 paintings. If each visitor to the exhibition views exactly 37 paintings, how many paintings are viewed in total by 8 visitors?
296 paintings
Explanation
Each visitor views all 37 paintings. To find the total number of paintings viewed, multiply the number of paintings by the number of visitors.
Paintings per visitor = 37
Number of visitors = 8
37 × 8 = 296
Therefore, 296 paintings are viewed in total.
Problem 4
In an orchard, there are rows of apple trees. Each row contains 37 trees. If there are 6 rows, how many apple trees are there in total?
222 trees
Explanation
To find the total number of apple trees, multiply the number of rows by the number of trees in each row.
Number of rows = 6
Number of trees per row = 37
6 × 37 = 222
So, there are 222 apple trees in total.
Problem 5
A warehouse has crates containing 37 items each. If the first section of the warehouse has 37 crates, the second section has 74 crates, and the third section has 111 crates, how many items are there in total?
8,505 items
Explanation
Calculate the total number of items by multiplying the number of crates by the number of items per crate for each section and then summing them up.
First section: 37 crates × 37 items = 1,369 items
Second section: 74 crates × 37 items = 2,738 items
Third section: 111 crates × 37 items = 4,107 items
Total items: 1,369 + 2,738 + 4,107 = 8,214
Therefore, there are a total of 8,214 items in the warehouse.
FAQs on Multiples of 37
1.How do you find the multiples of 37?
2.What is the LCM of 7 and 37?
3.What are the real-life applications of Multiples of 37?
4.Are multiples of 37 finite or infinite?
5.Is there any odd multiples of 37?
Important Glossaries for Multiples of 37
- Multiple: A multiple represents the product of a number that has been multiplied by an integer. For example, multiples of 37 include 37, 74, 111, 148, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 37 are the numbers that consist of the number pattern of 37.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 37 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 37 are the divisors of 37.
- LCM (Least Common Multiple): The smallest multiple that is common between two or more numbers. For example, the LCM of 7 and 37 is 259.
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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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: She has songs for each table which helps her to remember the tables
