How to Find Factors of 20 With Easy Division and Prime Factorization
Contents
Factors Of 20
Factors of 20 are the numbers that result in 20 when two factors are multiplied together. They are 1,2,4,5,10 and 20. When multiplied together, these factor pairs produce the original number.
We will use the factorization method to find the factors of a number, 20. As part of the factorization method, evaluate 1 and 20 as factors first and then find the other pair of multiples of 20 resulting in the original number.
You can read the following article to understand this method better by finding the factors of 20 in pairs. Additionally, this article explores the prime factors of 20 using prime factorization.
What are the Factors of 20?
A factor of 20 is a number that divides 20 exactly with no remainder. Thus, the factors of 20 are multiplied in pairs resulting in the number 20.
20 has many factors besides 1 and 20 because it is an even number. Therefore, 20 has factors 1, 2, 4, 5, 10, and 20. Likewise, the negative factors of 20 are -1, -2, -4, -5, -10 and -20.
Factors of 20: 1, 2, 4, 5, 10, and 20.
Prime Factorization of 20: 2 × 2 × 5 or 22 × 5
Pair Factors of 20
In addition to being a positive number, the factor of 20 can also be a negative number. It is, therefore, possible to have a pair factor of 20 both in positive and negative pairs.
The pair factor of 20 is a pair of numbers that, when multiplied together, result in 20. Here are the positive and negative pair factors of 20:
Positive Pair Factor of 20:
| Positive Factor of 20 | Positive Pair Factors of 20 |
| 1 × 20 | (1, 20) |
| 2 × 10 | (2, 10) |
| 4 × 5 | (4, 5) |
Negative Pair Factor of 20:
| Negative Factor of 20 | Negative Pair Factors of 20 |
| -1 × -20 | (-1, -20) |
| -2 × -10 | (-2, -10) |
| -4 × -5 | (-4, -5) |
Factors of 20 by Division Method
By dividing 20 by different integers, we can find the factors of 20. Integers that divide 20 exactly, leaving the remainder 0, then are factors of 20. We will now discuss the factors of 20 by division.
- 20/1 = 20
- 20/2 = 10
- 20/4 = 5
- 20/5 = 4
- 20/10 = 2
- 20/20 = 1
When we divide 20 by other numbers than 1, 2, 4, 5, and 10, it leaves a remainder. Accordingly, the factors of 20 are 1, 2, 4, 5, 10, and 20.
Prime Factorization of 20
As a result of a prime factorization, the number 20 is written as the product of its prime factors. In addition to being a composite number, 20 can be factorized and written as a product of prime factors. The following steps will show you how to identify 20’s prime factors.
For example, (1, 20) is a pair factor.
We cannot factor the number 1 further since it is neither prime nor composite.
Let’s look at the number 20, and it is a composite number.
Therefore, divide the number 20 into its prime factors.
You can write 20 as follows:
20 = 4 × 5
In this case, 5 is a prime number, while 4 is a composite number that you can further factor.
Thus, 20 = 2 × 2 × 5
Consequently, the prime factorization of 20 is 2 × 2 × 5 or 22 × 5.
| Links Related to Factors | |
| Prime Factors of 24= 1, 2, 3, 4, 6, 8, 12, and 24. | Factors of 36= 1, 2, 3, 4, 6, 9, 12, 18, and 36. |
| Factors of 48= 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. | Factors of 18= 1, 2, 3, 6, 9 and 18. |
| Factors of 42= 1, 2, 3, 6, 7, 14, 21, and 42. | Prime Factors of 21= 1, 3, 7, and 21. |
| Factors of 35= 1, 5, 7, and 35. | Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. |
| Factors of 84= 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84. | Prime Factors of 53= 1 and 53. |
Examples
Example 1:
What are the common factors of 20 and 21?
Solution:
1, 2, 4, 5, 10, and 20 are the factors of 20.
Prime Factors of 21= 1, 3, 7, and 21.
Therefore, 20 and 21 have a common factor of 1.
Example 2:
Calculate the common factors of 20 and 3.
Solution:
Factors of 20 = 1, 2, 4, 5, 10, and 20.
Factors of 3= 1 and 3.
The common factor between 20 and 3 is only 1.
Example 3:
Find the common factor between 20 and 24.
Solution:
There are six factors of 20: 1, 2, 4, 5,10, and 20.
Prime Factors of 24= 1, 2, 3, 4, 6, 8, 12, and 24.
Thus, 20 and 24 have the same factors of 1, 2, and 4.
FAQs
How many factors are there in 20?
Factors of 20 include 1, 2, 4, 5, 10, and 20.
How does 20 factorize into prime factors?
Prime factorization of 20 is 2 × 2 × 5 or 22 × 5.
List the positive pair factors of 20.
There are three positive pair factors of 20: (1, 20), (2, 10), and (4, 5).
How many negative pair factors does 20 have?
There are three negative pair factors for 20: (-1, -20), (-2, -10), (-4, -5).
Is 5 a factor of 20?
5 is indeed a factor of 20. When 5 divides 20, the remainder is 0, so 5 is a factor of 20.
Factors of 15=1, 3, 5, and 15.
Factor of 36=1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 48= 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 18=1, 2, 3, 6, 9, and 18.
Factors of 56=1, 2, 4, 7, 8, 14, 28 and 56.
Factors of 25=1, 5, and 25.