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Last updated on February 27th, 2025

Multiples of 105

Q: How do you find the multiples of 105?

To find out the multiples of 105, we need to multiply 105 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 105. Multiples of 105 will be larger or equal to 105. 105 × 1 = 105 105 × 2 = 210 105 × 3 = 315 105 × 4 = 420 105 × 5 = 525

Q: What is the LCM of 7 and 105?

LCM of 7 and 105 is 105. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 105 using the listing method, we need to list the multiples of both 7 and 105. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105,… Multiples of 105 are 105, 210, 315, 420,… Here, the smallest common number that appears in both lists is 105. LCM of 7 and 105 = 105.

Q: What are the real-life applications of multiples of 105?

Multiples of 105 can be helpful in various real-life situations. We can use them for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups.

Q: Are multiples of 105 finite or infinite?

All the multiples of 105 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 105. When we calculate 105 × n, if the integer ‘n’ goes on forever, the multiples of 105 also become infinite.

Q: Is there any odd multiple of 105?

Yes, there are odd multiples of 105 because 105 is an odd number. If we multiply any odd number by an odd number, we will get an odd number as the product. For example, 105 × 1 = 105 105 × 3 = 315 105 × 5 = 525 105 × 7 = 735 105 × 9 = 945

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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 105.

What are the Multiples of 105?

Now, let us learn more about multiples of 105. Multiples of 105 are the numbers you get when you multiply 105 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 105 can be denoted as 105 × 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 105 × 1 will give us 105 as the product. Multiples of 105 will be larger or equal to 105.

$multiples of 105$

List of First 20 Multiples of 105

Multiples of 105 include the products of 105 and an integer. Multiples of 105 are divisible by 105 evenly. The first few multiples of 105 are given below:

Now, we know the first few multiples of 105. They are 0, 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050,...

TABLE OF 105 (1-10)
105 x 1 = 105	105 x 6 = 630
105 x 2 = 210	105 x 7 = 735
105 x 3 = 315	105 x 8 = 840
105 x 4 = 420	105 x 9 = 945
105 x 5 = 525	105 x 10 = 1050

TABLE OF 105 (11-20)
105 x 11 = 1155	105 x 16 = 1680
105 x 12 = 1260	105 x 17 = 1785
105 x 13 = 1365	105 x 18 = 1890
105 x 14 = 1470	105 x 19 = 1995
105 x 15 = 1575	105 x 20 = 2100

Operations with Multiples of 105

Understanding the multiples of 105 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 105, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 105:

105, 210, 315, 420, and 525 are the first five multiples of 105. When multiplying 105 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

105 + 210 + 315 + 420 + 525 = 1575

When we add the first 5 multiples of 105, the answer will be 1575.

Subtraction of First 5 Multiples of 105:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 105, 210, 315, 420, and 525 are the first five multiples of 105. So, let us calculate it as given below:

105 - 210 = -105
-105 - 315 = -420
-420 - 420 = -840
-840 - 525 = -1365

Hence, the result of subtracting the first 5 multiples of 105 is -1365.

Average of First 5 Multiples of 105:

To calculate the average, we need to identify the sum of the first 5 multiples of 105, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. We know the sum of the first 5 multiples of 105 is 1575.

105 + 210 + 315 + 420 + 525 = 1575

Next, divide the sum by 5:

1575 ÷ 5 = 315

315 is the average of the first 5 multiples of 105.

Product of First 5 Multiples of 105:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 105 include: 105, 210, 315, 420, and 525. Now, the product of these numbers is:

105 × 210 × 315 × 420 × 525 = 1,948,091,250,000

The product of the first 5 multiples of 105 is 1,948,091,250,000.

Division of First 5 Multiples of 105:

While we perform division, we get to know how many times 105 can fit into each of the given multiples. 105, 210, 315, 420, and 525 are the first 5 multiples of 105.

105 ÷ 105 = 1
210 ÷ 105 = 2
315 ÷ 105 = 3
420 ÷ 105 = 4
525 ÷ 105 = 5

The results of dividing the first 5 multiples of 105 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 105

Multiples of 105 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

In a factory, every machine produces 105 widgets per hour. If the factory operates 5 machines simultaneously for 6 hours a day, how many widgets are produced in a day?

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

Explanation

Problem 2

During a fundraising event, a group of volunteers decides to bake cookies in batches of 105. If three volunteers bake the first three multiples of 105 batches, how many batches does each volunteer bake?

Explanation

Problem 3

A school organizes a marathon with checkpoints every 105 meters. If there are 7 checkpoints along the route, what is the total distance of the marathon?

Explanation

Problem 4

A farmer plants trees along a fence line in groups of 105. If he plans to have 4 such groups, how many trees does he need to plant in total?

Explanation

Problem 5

In a library, books are arranged in stacks containing 105 books each. If there are stacks of 105, 210, and 315 books respectively, how many books are there altogether?

Explanation

FAQs on Multiples of 105

1.How do you find the multiples of 105?

2. What is the LCM of 7 and 105?

3.What are the real-life applications of multiples of 105?

4.Are multiples of 105 finite or infinite?

5.Is there any odd multiple of 105?

Important Glossaries for Multiples of 105

Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 105 include 105, 210, 315, 420, etc.

Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 105 are the numbers that consist of the number pattern of 105.

Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 105 are odd numbers.

Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 7, 15, 21, 35, and 105 are the divisors of 105.

LCM (Least Common Multiple): The smallest multiple that is a common multiple of two or more numbers. For example, the LCM of 7 and 105 is 105.

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Seyed Ali Fathima S

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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.