Last updated on May 26th, 2025
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 35.
Now, let us learn more about multiples of 35. Multiples of 35 are the numbers you get when you multiply 35 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 35 can be denoted as 35 × 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 35 × 1 will give us 35 as the product. Multiples of 35 will be larger or equal to 35.
Multiples of 35 include the products of 35 and an integer. Multiples of 35 are divisible by 35 evenly. The first few multiples of 35 are given below:
TABLE OF 35 (1-10) | |
---|---|
35 x 1 = 35 |
35 x 6 = 210 |
35 x 2 = 70 |
35 x 7 = 245 |
35 x 3 = 105 |
35 x 8 = 280 |
35 x 4 = 140 |
35 x 9 = 315 |
35 x 5 = 175 |
35 x 10 = 350 |
TABLE OF 35 (11-20) | |
---|---|
35 x 11 = 385 |
35 x 16 = 560 |
35 x 12 = 420 |
35 x 17 = 595 |
35 x 13 = 455 |
35 x 18 = 630 |
35 x 14 = 490 |
35 x 19 = 665 |
35 x 15 = 525 |
35 x 20 = 700 |
Now, we know the first few multiples of 35. They are 0, 35, 70, 105, 140, 175, 210, 245, 280, 315, 350,...
Understanding the multiples of 35 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 35, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
35, 70, 105, 140, and 175 are the first five multiples of 35. When multiplying 35 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
35 + 70 + 105 + 140 + 175 = 525
When we add the first 5 multiples of 35 the answer will be 525.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 35, 70, 105, 140, and 175 are the first five multiples of 35. So, let us calculate it as given below:
35 - 70 = -35
-35 - 105 = -140
-140 - 140 = -280
-280 - 175 = -455
Hence, the result of subtracting the first 5 multiples of 35 is -455.
To calculate the average, we need to identify the sum of the first 5 multiples of 35, 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 35 is 525.
35 + 70 + 105 + 140 + 175 = 525
Next, divide the sum by 5:
525 ÷ 5 = 105
105 is the average of the first 5 multiples of 35.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 35 include: 35, 70, 105, 140, and 175. Now, the product of these numbers is:
35 × 70 × 105 × 140 × 175 = 45,185,250,000
The product of the first 5 multiples of 35 is 45,185,250,000.
While we perform division, we get to know how many times 35 can fit into each of the given multiples. 35, 70, 105, 140, and 175 are the first 5 multiples of 35.
35 ÷ 35 = 1
70 ÷ 35 = 2
105 ÷ 35 = 3
140 ÷ 35 = 4
175 ÷ 35 = 5
The results of dividing the first 5 multiples of 35 are: 1, 2, 3, 4, and 5.
While working with multiples of 35, 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:
Emily is organizing a charity event where every participant donates a certain number of canned goods. Each participant donates 35 canned goods. If there are 6 participants, how many canned goods will be collected in total?
210 canned goods
Each participant donates 35 canned goods. To find the total number of canned goods collected, multiply the number of participants by the number of canned goods each donates.
Canned goods per participant = 35
Number of participants = 6
35 × 6 = 210
Therefore, 210 canned goods will be collected in total.
In a cycling club, the members go on a ride every weekend. On each ride, they cover a distance that is a multiple of 35 kilometers. In the first three weekends, they cover the first three multiples of 35 kilometers. How many kilometers do they ride in total over these three weekends?
210 kilometers
The first three multiples of 35 are 35, 70, and 105. Add these distances to find the total.
35 × 1 = 35
35 × 2 = 70
35 × 3 = 105
Total kilometers = 35 + 70 + 105 = 210
Thus, they ride a total of 210 kilometers over the three weekends.
A farmer is planting trees in a grid. Each row has 35 trees, and there are 5 rows in total. How many trees does the farmer plant?
175 trees
Multiply the number of rows by the number of trees in each row to find the total number of trees.
Number of rows = 5
Trees per row = 35
5 × 35 = 175
Therefore, the farmer plants 175 trees.
In a manufacturing company, each worker assembles 35 gadgets per day. If there are 8 workers, how many gadgets are assembled in a day?
280 gadgets
Multiply the number of workers by the number of gadgets each assembles to find the total daily output.
Gadgets per worker = 35
Number of workers = 8
35 × 8 = 280
Hence, 280 gadgets are assembled in a day.
A school is organizing an art competition. Each participant creates 35 pieces of artwork. If there are 4 participants, how many pieces of artwork are created in total?
140 pieces of artwork
Multiply the number of participants by the number of pieces each creates to find the total.
Artwork per participant = 35
Number of participants = 4
35 × 4 = 140
Thus, a total of 140 pieces of artwork are created.
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.
: She has songs for each table which helps her to remember the tables