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Last updated on March 29th, 2025

Multiples of 75

Q: How do you find the multiples of 75?

To find out the multiples of 75, we need to multiply 75 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 75. Multiples of 75 will be larger or equal to 75. 75 × 1 = 75 75 × 2 = 150 75 × 3 = 225 75 × 4 = 300 75 × 5 = 375

Q: What is the LCM of 25 and 75?

LCM of 25 and 75 is 75. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 25 and 75 using the listing method, we need to list the multiples of both 25 and 75. Multiples of 25 are 25, 50, 75, 100, 125, 150,… Multiples of 75 are 75, 150, 225, 300,… Here, the smallest common number that appears in both lists is 75. LCM of 25 and 75 = 75.

Q: What are the real-life applications of Multiples of 75?

Multiples of 75 can be helpful in various real-life situations. We can use it for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups.

Q: Are multiples of 75 finite or infinite?

All the multiples of 75 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 75. When we calculate 75 × n, if the integer ‘n’ goes on forever, the multiples of 75 also become infinite.

Q: Is there any odd multiple of 75?

Yes, there can be odd multiples of 75. Since 75 itself is an odd number, multiplying it by any odd number will give an odd result. For example, 75 × 1 = 75 75 × 3 = 225 75 × 5 = 375 75 × 7 = 525

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 75.

What are the Multiples of 75?

Now, let us learn more about multiples of 75. Multiples of 75 are the numbers you get when you multiply 75 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 75 can be denoted as 75 × 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 75 × 1 will give us 75 as the product. Multiples of 75 will be larger or equal to 75.

$Multiples of 75$

List of First 20 Multiples of 75

Multiples of 75 include the products of 75 and an integer. Multiples of 75 are divisible by 75 evenly. The first few multiples of 75 are given below:

TABLE OF 75 (1-10)
75 x 1 = 75	75 x 6 = 450
75 x 2 = 150	75 x 7 = 525
75 x 3 = 225	75 x 8 = 600
75 x 4 = 300	75 x 9 = 675
75 x 5 = 375	75 x 10 = 750

TABLE OF 75 (11-20)
75 x 11 = 825	75 x 16 = 1200
75 x 12 = 900	75 x 17 = 1275
75 x 13 = 975	75 x 18 = 1350
75 x 14 = 1050	75 x 19 = 1425
75 x 15 = 1125	75 x 20 = 1500

Now, we know the first few multiples of 75. They are 0, 75, 150, 225, 300, 375, 450, 525, 600, 675, 750,...

Operations with Multiples of 75

Understanding the multiples of 75 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 75, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 75:

75, 150, 225, 300, and 375 are the first five multiples of 75. When multiplying 75 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
75 + 150 + 225 + 300 + 375 = 1125
When we add the first 5 multiples of 75, the answer will be 1125.

Subtraction of first 5 Multiples of 75:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 75, 150, 225, 300, and 375 are the first five multiples of 75. So, let us calculate it as given below:
75 - 150 = -75
-75 - 225 = -300
-300 - 300 = -600
-600 - 375 = -975
Hence, the result of subtracting the first 5 multiples of 75 is -975.

Average of first 5 Multiples of 75:

To calculate the average, we need to identify the sum of the first 5 multiples of 75, 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 75 is 1125.
75 + 150 + 225 + 300 + 375 = 1125
Next, divide the sum by 5:
1125 ÷ 5 = 225
225 is the average of the first 5 multiples of 75.

Product of First 5 Multiples of 75:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 75 include: 75, 150, 225, 300, and 375. Now, the product of these numbers is:
75 × 150 × 225 × 300 × 375 = 1,423,828,125,000
The product of the first 5 multiples of 75 is 1,423,828,125,000.

Division of First 5 Multiples of 75:

While we perform division, we get to know how many times 75 can fit into each of the given multiples. 75, 150, 225, 300, and 375 are the first 5 multiples of 75.
75 ÷ 75 = 1
150 ÷ 75 = 2
225 ÷ 75 = 3
300 ÷ 75 = 4
375 ÷ 75 = 5
The results of dividing the first 5 multiples of 75 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 75

Multiples of 75 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Sophia is organizing a charity event where she wants to give out gift baskets. Each basket contains 75 items. If she plans to make enough baskets to distribute them over 5 weeks, with each week requiring the same number of baskets, how many items does she need in total?

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

Explanation

Problem 2

In a factory, machines are producing widgets in batches. The first machine produces 75 widgets, the second produces 150, and the third produces 225 widgets. How many widgets are produced by all three machines in one cycle?

Explanation

Problem 3

A garden center sells plants in sets. Each set contains 75 plants. If a customer buys 8 sets, how many plants do they purchase in total?

Explanation

Problem 4

For a school play, each student needs 75 tickets to distribute to their family and friends. If there are 6 students in the play, how many tickets are needed in total?

Explanation

Problem 5

A library receives donations of books in boxes. Each box has 75 books. If they receive 3 boxes in the first week, 5 in the second week, and 7 in the third week, how many books do they receive in total over the three weeks?

Explanation

FAQs on Multiples of 75

1.How do you find the multiples of 75?

2.What is the LCM of 25 and 75?

3.What are the real-life applications of Multiples of 75?

4.Are multiples of 75 finite or infinite?

5.Is there any odd multiple of 75?

Important Glossaries for Multiples of 75

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 75 include 75, 150, 225, 300, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 75 are the numbers that consist of the number pattern of 75.

Odd number: An odd number is any number not divisible by 2 without leaving a remainder. Multiples of 75 can be odd or even, depending on the integer they are multiplied by.

Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 15, 25, and 75 are the divisors of 75.