166 LearnersLast updated on May 26th, 2025
Multiples of 59
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 59.
What are the Multiples of 59?
Now, let us learn more about multiples of 59. Multiples of 59 are the numbers you get when you multiply 59 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 59 can be denoted as 59 × 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 59 × 1 will give us 59 as the product.
Multiples of 59 will be larger or equal to 59.
List of First 20 Multiples of 59
Multiples of 59 include the products of 59 and an integer. Multiples of 59 are divisible by 59 evenly. The first few multiples of 59 are given below:
Now, we know the first few multiples of 59. They are 0, 59, 118, 177, 236, 295, 354, 413, 472, 531, 590,...
| TABLE OF 59 (1-10) | |
|---|---|
|
59 x 1 = 59 |
59 x 6 = 354 |
|
59 x 2 = 118 |
59 x 7 = 413 |
|
59 x 3 = 177 |
59 x 8 = 472 |
|
59 x 4 = 236 |
59 x 9 = 531 |
|
59 x 5 = 295 |
59 x 10 = 590 |
| TABLE OF 59 (11-20) | |
|---|---|
|
59 x 11 = 649 |
59 x 16 = 944 |
|
59 x 12 = 708 |
59 x 17 = 1003 |
|
59 x 13 = 767 |
59 x 18 = 1062 |
|
59 x 14 = 826 |
59 x 19 = 1121 |
|
59 x 15 = 885 |
59 x 20 = 1180 |
Operations with Multiples of 59
Understanding the multiples of 59 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 59, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 59:
59, 118, 177, 236, and 295 are the first five multiples of 59. When multiplying 59 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
59 + 118 + 177 + 236 + 295 = 885
When we add the first 5 multiples of 59, the answer will be 885.
Subtraction of First 5 Multiples of 59:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 59, 118, 177, 236, and 295 are the first five multiples of 59. So, let us calculate it as given below:
59 - 118 = -59
-59 - 177 = -236
-236 - 236 = -472
-472 - 295 = -767
Hence, the result of subtracting the first 5 multiples of 59 is -767.
Average of First 5 Multiples of 59:
To calculate the average, we need to identify the sum of the first 5 multiples of 59, 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 59 is 885.
59 + 118 + 177 + 236 + 295 = 885
Next, divide the sum by 5:
885 ÷ 5 = 177
177 is the average of the first 5 multiples of 59.
Product of First 5 Multiples of 59:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 59 include: 59, 118, 177, 236, and 295. Now, the product of these numbers is:
59 × 118 × 177 × 236 × 295 = 10,345,109,380
The product of the first 5 multiples of 59 is 10,345,109,380.
Division of First 5 Multiples of 59:
While we perform division, we get to know how many times 59 can fit into each of the given multiples. 59, 118, 177, 236, and 295 are the first 5 multiples of 59.
59 ÷ 59 = 1
118 ÷ 59 = 2
177 ÷ 59 = 3
236 ÷ 59 = 4
295 ÷ 59 = 5
The results of dividing the first 5 multiples of 59 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 59
While working with multiples of 59, 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 59. 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 59 refer to the products we get while multiplying 59 with other numbers. For example, multiples of 59 include 0, 59, 118, 177, 236, 295, 354, 413, 472, 531, 590,…
The factors of 59 are 1 and 59. When 59 is divided by 1 and 59, the remainder will be zero. These are the factors of 59, meaning that these numbers can divide 59 without any remainder.
Factors of 59:
59 ÷ 1 = 59
59 ÷ 59 = 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 59 include 59, 118, 177, 236, 295, 354, …..590, 649,...
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 59, the result will still be a multiple of 59.
For example, children may write,
59 + 118 = 177, (which is correct)
This is correct because 177 is a multiple of 59. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 59.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 59, and any other number, is zero, and it has a valid value. Remember this:
59 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 59 + 59 + 59 + 59 + 59. Instead of adding too many values, use multiplication. Calculate 59 × n for the nth multiple.
For example, instead of 59 + 59 + 59 + 59 + 59, calculate it as given below: 59 × 5 = 295
Multiples of 59 Examples
Problem 1
In a large garden, there are rows of apple trees. Each row contains 59 trees. If the gardener decides to plant these rows for 6 consecutive years, adding one new row each year, how many apple trees will there be in total after 6 years?
1,062 apple trees.
Explanation
Each year, the gardener adds one row of 59 trees. To find the total number of trees after 6 years, calculate the sum of trees per row over the 6 years.
Number of trees per row = 59
Number of rows after 6 years = 1 + 2 + 3 + 4 + 5 + 6 = 21 total rows
Total number of trees = 59 × 21 = 1,239
Therefore, there will be 1,239 apple trees after 6 years.
Problem 2
A company is producing batches of chocolates. Each batch contains 59 chocolates. If they produce batches for four different retail stores, with each store receiving batches equivalent to the first four multiples of 59, how many chocolates will each store receive?
Store 1: 59 chocolates, Store 2: 118 chocolates, Store 3: 177 chocolates, Store 4: 236 chocolates
Explanation
o determine how many chocolates each store receives, calculate the first four multiples of 59.
59 × 1 = 59
59 × 2 = 118
59 × 3 = 177
59 × 4 = 236
Therefore, the stores receive 59, 118, 177, and 236 chocolates respectively.
Problem 3
During a festival, a craftsman is making sets of decorative lanterns. Each set contains 59 lanterns. If he makes 7 sets, how many lanterns does he produce in total?
413 lanterns
Explanation
Multiply the number of lanterns per set by the number of sets to find the total.
Number of lanterns per set = 59
Number of sets = 7
Total lanterns = 59 × 7 = 413
Thus, he produces 413 lanterns in total.
Problem 4
A library is restocking books in multiples of 59. If the library restocks 5 different categories of books, each with a number of books equal to a multiple of 59, how many books are restocked in total?
885 books
Explanation
Determine the total number of books by finding the sum of the first five multiples of 59.
59 × 1 = 59
59 × 2 = 118
59 × 3 = 177
59 × 4 = 236
59 × 5 = 295
Total books restocked = 59 + 118 + 177 + 236 + 295 = 885
Therefore, 885 books are restocked.
Problem 5
A concert is selling tickets in blocks of 59 seats. If the concert hall has 8 sections, each with a different number of blocks, ranging from 1 to 8 blocks, how many tickets are available in total?
2,124 tickets
Explanation
Calculate the number of tickets by multiplying the number of blocks in each section by 59 and summing them.
59 × 1 = 59
59 × 2 = 118
59 × 3 = 177
59 × 4 = 236
59 × 5 = 295
59 × 6 = 354
59 × 7 = 413
59 × 8 = 472
Total tickets = 59 + 118 + 177 + 236 + 295 + 354 + 413 + 472 = 2,124
Thus, there are 2,124 tickets available.
FAQs on Multiples of 59
1.How do you find the multiples of 59?
2.What is the LCM of 7 and 59?
3.What are the real-life applications of Multiples of 59?
4.Are multiples of 59 finite or infinite?
5.Is there any odd multiples of 59?
Important Glossaries for Multiples of 59
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 59 include 59, 118, 177, 236, etc.
- Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 59 are the numbers that consist of the number pattern of 59.
- Odd Number: An odd number refers to any number that cannot be evenly divided by 2. Multiples of 59 can be both odd and even, depending on the multiplier.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 59 are the divisors of 59.
- Least Common Multiple (LCM): This is the smallest multiple that two or more numbers share. For example, the LCM of 7 and 59 is 413.
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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
