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Last updated on March 28th, 2025

Multiples of 175

Q: How do you find the multiples of 175?

To find out the multiples of 175, we need to multiply 175 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 175. Multiples of 175 will be larger or equal to 175. 175 × 1 = 175 175 × 2 = 350 175 × 3 = 525 175 × 4 = 700 175 × 5 = 875

Q: What is the LCM of 7 and 175?

LCM of 7 and 175 is 175. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 175 using the listing method, we need to list the multiples of both 7 and 175. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 175 are 175, 350, 525, 700, 875, 1050,… Here, the smallest common number that appears in both lists is 175. LCM of 7 and 175 = 175.

Q: Are multiples of 175 finite or infinite?

All the multiples of 175 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 175. When we calculate 175 × n, if the integer ‘n’ goes on forever, the multiples of 175 also become infinite.

Q: Is there any odd multiple of 175?

Yes, there are odd multiples of 175. Since 175 is an odd number, multiplying it by odd natural numbers will result in odd multiples. For example: 175 × 1 = 175 175 × 3 = 525 175 × 5 = 875

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

In math, multiples are the products we get when 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 175.

What are the Multiples of 175?

Now, let us learn more about multiples of 175. Multiples of 175 are the numbers you get when you multiply 175 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 175 can be denoted as 175 × 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 175 × 1 will give us 175 as the product. Multiples of 175 will be larger or equal to 175. $multiples of 175$

List of First 20 Multiples of 175

Multiples of 175 include the products of 175 and an integer. Multiples of 175 are divisible by 175 evenly. The first few multiples of 175 are given below:

TABLE OF 175 (1-10)
175 x 1 = 175	175 x 6 = 1050
175 x 2 = 350	175 x 7 = 1225
175 x 3 = 525	175 x 8 = 1400
175 x 4 = 700	175 x 9 = 1575
175 x 5 = 875	175 x 10 = 1750

TABLE OF 175 (11-20)
175 x 11 = 1925	175 x 16 = 2800
175 x 12 = 2100	175 x 17 = 2975
175 x 13 = 2275	175 x 18 = 3150
175 x 14 = 2450	175 x 19 = 3325
175 x 15 = 2625	175 x 20 = 3500

Now, we know the first few multiples of 175. They are 0, 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750,...

Operations with Multiples of 175

Understanding the multiples of 175 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 175, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 175:

175, 350, 525, 700, and 875 are the first five multiples of 175. When multiplying 175 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
175 + 350 + 525 + 700 + 875 = 2625

When we add the first 5 multiples of 175, the answer will be 2625.

Subtraction of first 5 Multiples of 175:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 175, 350, 525, 700, and 875 are the first five multiples of 175. So, let us calculate it as given below:

175 - 350 = -175
-175 - 525 = -700
-700 - 700 = -1400
-1400 - 875 = -2275

Hence, the result of subtracting the first 5 multiples of 175 is -2275.

Average of first 5 Multiples of 175:

To calculate the average, we need to identify the sum of the first 5 multiples of 175, and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 175 is 2625.

175 + 350 + 525 + 700 + 875 = 2625
Next, divide the sum by 5:
2625 ÷ 5 = 525
525 is the average of the first 5 multiples of 175.

Product of First 5 Multiples of 175:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 175 include: 175, 350, 525, 700, and 875. Now, the product of these numbers is:
175 × 350 × 525 × 700 × 875 = 20,706,250,000,000

The product of the first 5 multiples of 175 is 20,706,250,000,000.

Division of First 5 Multiples of 175:

While we perform division, we get to know how many times 175 can fit into each of the given multiples. 175, 350, 525, 700, and 875 are the first 5 multiples of 175.

175 ÷ 175 = 1
350 ÷ 175 = 2
525 ÷ 175 = 3
700 ÷ 175 = 4
875 ÷ 175 = 5

The results of dividing the first 5 multiples of 175 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 175

Multiples of 175 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Emily is planning a series of art workshops. Each workshop requires 175 sheets of paper. If she conducts 5 workshops, how many sheets of paper will she need in total?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

A farmer is planting trees in a large orchard. He plants the trees in rows, with 175 trees per row. If he has enough space for 3 complete rows, how many trees will be planted in total?

Explanation

Problem 3

In a factory, machines produce 175 widgets per hour. If the factory operates for 6 hours, how many widgets will be produced?

Explanation

Problem 4

A travel company offers a bus service that can accommodate 175 passengers per trip. If they run 8 trips in a day, how many passengers can they transport in total?

Explanation

Problem 5

A library has a system where each section holds 175 books. If there are 4 sections dedicated to fiction books, how many fiction books does the library have in total?

Explanation

FAQs on Multiples of 175

1.How do you find the multiples of 175?

2.What is the LCM of 7 and 175?

3.What are the real-life applications of Multiples of 175?

4.Are multiples of 175 finite or infinite?

5.Is there any odd multiple of 175?

Important Glossaries for Multiples of 175

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 175 include 175, 350, 525, 700, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 175 are the numbers that consist of the number pattern of 175.
Odd number: An odd number refers to any number that cannot be evenly divided by 2. Unlike the multiples of even numbers, multiples of odd numbers can be odd.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 7, 25, 35, and 175 are the divisors of 175.
LCM (Least Common Multiple): LCM is the smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 175 is 175.

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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.