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Last updated on March 29th, 2025

Multiples of 23

Q: How do you find the multiples of 23?

To find out the multiples of 23, we need to multiply 23 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 23. Multiples of 23 will be larger or equal to 23. 23 × 1 = 23 23 × 2 = 46 23 × 3 = 69 23 × 4 = 92 23 × 5 = 115

Q: What is the LCM of 7 and 23?

LCM of 7 and 23 is 161. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 23 using the listing method, we need to list the multiples of both 7 and 23. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 23 are 23, 46, 69, 92, 115, 138, 161, 184, 207,… Here, the smallest common number that appears in both lists is 161. LCM of 7 and 23 = 161.

Q: What are the real-life applications of Multiples of 23?

Multiples of 23 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 23 finite or infinite?

All the multiples of 23 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 23. When we calculate 23 × n, if the integer ‘n’ goes on forever, the multiples of 23 also become infinite.

Q: Is there any odd multiples of 23?

Yes, there are odd numbers in the multiple of 23. Because 23 is an odd number, when we multiply it by any odd number, we will get an odd number as the product. For example, 23 × 1 = 23 23 × 3 = 69 23 × 5 = 115

Professor Greenline Explaining Math Concepts

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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 23.

What are the Multiples of 23?

Now, let us learn more about multiples of 23. Multiples of 23 are the numbers you get when you multiply 23 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 23 can be denoted as 23 × 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 23 × 1 will give us 23 as the product. Multiples of 23 will be larger or equal to 23. $Multiples of 23$

List of First 20 Multiples of 23

Multiples of 23 include the products of 23 and an integer. Multiples of 23 are divisible by 23 evenly. The first few multiples of 23 are given below:

TABLE OF 23 (1-10)
23 x 1 = 23	23 x 6 = 138
23 x 2 = 46	23 x 7 = 161
23 x 3 = 69	23 x 8 = 184
23 x 4 = 92	23 x 9 = 207
23 x 5 = 115	23 x 10 = 230

TABLE OF 23 (11-20)
23 x 11 = 253	23 x 16 = 368
23 x 12 = 276	23 x 17 = 391
23 x 13 = 299	23 x 18 = 414
23 x 14 = 322	23 x 19 = 437
23 x 15 = 345	23 x 20 = 460

Now, we know the first few multiples of 23. They are 0, 23, 46, 69, 92, 115, 138, 161, 184, 207, 230,...

Operations with Multiples of 23

Understanding the multiples of 23 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 23, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of first 5 Multiples of 23:

23, 46, 69, 92, and 115 are the first five multiples of 23. When multiplying 23 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:

23 + 46 + 69 + 92 + 115 = 345

When we add the first 5 multiples of 23, the answer will be 345.

Subtraction of first 5 Multiples of 23:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. So, let us calculate it as given below:

23 - 46 = -23
-23 - 69 = -92
-92 - 92 = -184
-184 - 115 = -299

Hence, the result of subtracting the first 5 multiples of 23 is -299.

Average of first 5 Multiples of 23:

To calculate the average, we need to identify the sum of the first 5 multiples of 23, 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 23 is 345.
23 + 46 + 69 + 92 + 115 = 345

Next, divide the sum by 5:

345 ÷ 5 = 69

69 is the average of the first 5 multiples of 23.

Product of First 5 Multiples of 23:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 23 include: 23, 46, 69, 92, and 115. Now, the product of these numbers is:

23 × 46 × 69 × 92 × 115 = 331,383,030

The product of the first 5 multiples of 23 is 331,383,030.

Division of First 5 Multiples of 23:

While we perform division, we get to know how many times 23 can fit into each of the given multiples.

23 ÷ 23 = 1
46 ÷ 23 = 2
69 ÷ 23 = 3
92 ÷ 23 = 4
115 ÷ 23 = 5

The results of dividing the first 5 multiples of 23 are: 1, 2, 3, 4, and 5.

Common Mistakes and How to Avoid Them in Multiples of 23

Multiples of 23 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Maya is organizing a charity event and decides to distribute gift bags. Each bag contains 23 items, and she plans to distribute them every week. If she continues this pattern for 6 weeks, how many items will she have distributed in total?

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

Explanation

Problem 2

In a video game, players earn points in multiples of 23. If three players earn points equivalent to the first three multiples of 23, how many points did each player earn?

Explanation

Problem 3

At a factory, there are 23 machines, and each machine produces 23 parts every day. How many parts are produced in total each day?

Explanation

Problem 4

Lucas has a collection of stamps arranged in 4 albums. Each album contains 23 stamps. How many stamps does Lucas have in total?

Explanation

Problem 5

During a science experiment, a group of students measures the growth of plants. The first plant grows by 23 cm, the second by 46 cm, and the third by 69 cm. What is the total growth of all three plants?

Explanation

FAQs on Multiples of 23

1.How do you find the multiples of 23?

2.What is the LCM of 7 and 23?

3.What are the real-life applications of Multiples of 23?

4.Are multiples of 23 finite or infinite?

5.Is there any odd multiples of 23?

Important Glossaries for Multiples of 23

Multiple: A multiple represents the product of a number that is multiplied by an integer. For example, multiples of 23 include 23, 46, 69, 92, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 23 are the numbers that consist of the number pattern of 23.
Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 23 are odd numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 23 are the divisors of 23.
LCM (Least Common Multiple): It is the smallest common multiple shared by two or more numbers. For instance, the LCM of 7 and 23 is 161.

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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.