To find the factors of 28, we need to find all the numbers that can divide 28 without leaving a remainder. 1 and 28 are always factors of any number, so we know that 1 and 28 are factors of 28.
To find the other factors, we can start by dividing 28 by 2, which gives us 14. Since 14 is also a factor of 28, we know that 2 and 14 are factors.
Next, we can divide 28 by 4, which gives us 7. 7 is also a factor of 28, so we know that 4 and 7 are factors.
Therefore, the factors of 28 are 1, 2, 4, 7, 14, and 28.
Table of Contents
Define and explain factors of 28
For example, the factors of 28 are the positive integers that divide 28 without leaving a remainder. The factors of 28 are: 1, 2, 4, 7, 14, and 28.
To understand this concept better, we can say that 28 can be expressed as the product of two or more positive integers in several ways:
- 28 = 1 x 28
- 28 = 2 x 14
- 28 = 4 x 7
In each of these expressions, the numbers on the right-hand side are the factors of 28. Factors can also be found by dividing 28 by each of its positive integer values, and checking if the remainder is zero.
Knowing the factors of a number is useful in many mathematical operations, such as finding the greatest common factor (GCF), simplifying fractions, and solving equations.
Positive Factors of 28
The factors of 28 are:
1, 2, 4, 7, 14, 28
All of these factors are positive, so the positive factors of 28 are simply the same as the factors of 28:
1, 2, 4, 7, 14, 28
Negative Factors of 28
Since every integer divides 0, we can say that 0 is a factor of 28, and therefore, -0 is also a factor of 28. However, -0 is the same as 0, so we don’t consider it as a negative factor of 28.
The negative factors of 28 are:
-1, -2, -4, -7, -14, -28
Note that the absolute value of each of these negative factors is also a positive factor of 28, i.e., |1|, |2|, |4|, |7|, |14|, and |28| are all positive factors of 28.
What are the factors of 28
1, 2, 4, 7, 14, 28
Note that 1 and 28 are both factors of 28 because they divide 28 without leaving a remainder. The other factors of 28 are 2, 4, 7, and 14, which are also divisors of 28.
How To Calculate the Factors of 28?
- Make a list of the numbers from 1 to 28.
- Divide 28 by each number on the list.
- If the result is a whole number, then that number is a factor of 28.
- Write down all the whole numbers obtained in step 3 as the factors of 28.
For example:
- List the numbers from 1 to 28: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28
- Divide 28 by each number on the list:
- 28 ÷ 1 = 28
- 28 ÷ 2 = 14
- 28 ÷ 3 = 9 with a remainder of 1
- 28 ÷ 4 = 7
- 28 ÷ 5 = 5 with a remainder of 3
- 28 ÷ 6 = 4 with a remainder of 4
- 28 ÷ 7 = 4
- 28 ÷ 8 = 3 with a remainder of 4
- 28 ÷ 9 = 3 with a remainder of 1
- 28 ÷ 10 = 2 with a remainder of 8
- 28 ÷ 11 = 2 with a remainder of 6
- 28 ÷ 12 = 2 with a remainder of 4
- 28 ÷ 13 = 2 with a remainder of 2
- 28 ÷ 14 = 2
- 28 ÷ 15 = 1 with a remainder of 13
- 28 ÷ 16 = 1 with a remainder of 12
- 28 ÷ 17 = 1 with a remainder of 11
- 28 ÷ 18 = 1 with a remainder of 10
- 28 ÷ 19 = 1 with a remainder of 9
- 28 ÷ 20 = 1 with a remainder of 8
- 28 ÷ 21 = 1 with a remainder of 7
- 28 ÷ 22 = 1 with a remainder of 6
- 28 ÷ 23 = 1 with a remainder of 5
- 28 ÷ 24 = 1 with a remainder of 4
- 28 ÷ 25 = 1 with a remainder of 3
- 28 ÷ 26 = 1 with a remainder of 2
- 28 ÷ 27 = 1 with a remainder of 1
- 28 ÷ 28 = 1
- The whole numbers obtained in step 2 are the factors of 28: 1, 2, 4, 7, 14, and 28.
So the factors of 28 are: 1, 2, 4, 7, 14, and 28.
Post Disclaimer
The information contained in this post is for general information purposes only. The information is provided by Maths factors of 28
This website does not hold the ownership rights of any pdf available. This saree pdf is already available on the internet, whose only link we are sharing, which is only available for education purpose. It cannot be used for any kind of commercial.
If anyone has any objection to this link then email us, we will immediately delete this link.