Factors of 20 are 1, 2, 4, 5, 10 and 20. The factors of 20 are the integers, that completely divide 20 without leaving any remainder. and factor pairs are the numbers that produce the result of 20 when multiplied together. In this case, 1, 2, 4, 5, 10, and 20 are the factors of 20 as they completely divide 20 without leaving any remainder.
In this article, we will learn about a list of all factors of 20, prime factors of 20, how to find prime factors, and Prime Factorization of 20 in detail.
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Factors Definition
Factor is the number that divides another number evenly i.e., without leaving any remainder.
For example, the factors of 30 are the numbers that perfectly divide 30 i.e., 1, 2, 3, 5, 6, 10, 15 and 30 itself.
Factors of 20
Factors of 20 are 1, 2, 4, 5, 10 and 20
These numbers when multiply with each other gives 20:
- 1 × 20 = 20
- 2 × 10 = 20
- 4 × 5 = 20
So, Factors of 20 are: 1, 2, 4, 5, 10 and 12.
List of All Factors of 20
The list of all the factors of 20 are below:
- 1 is Factor of 20
- 2 is Factor of 20
- 4 is Factor of 20
- 5 is Factor of 20
- 10 is Factor of 20
- 20 is Factor of 20
How to Find Factors of 20?
To find factors of 20, you have look through all the natural numbers up to 20 that is divisible by 20 without leaving any remainder.
- Start with 1: Since 1 is multiplied by every number, therefore 1 is a factor of 20.
- Now Take Next Number 2: Since 2 is also completely divisible by 20, therefore it is also a factor of 20.
- Take 3: When 3 is divided by 20, it leaves the remainder 2 i.e., it is not completely divisible by 20. Therefore, 3 is not a factor of 20.
- Take 4: 4 divides 20 without leaving any remainder. So, 4 is also a factor of 20.
- Keep on repeating these steps further and once you reach a number that you’ve already listed as a factor, you can stop.
So, factors of 20 are: 1, 2, 4, 5, 10 and 20.
Prime Factors of 20
Prime Factors of 20 are the prime numbers that completely divide 20. The prime factors of 20 are:
- 2 (2 is a prime number and 20 is divisible by 2)
- 5 (5 is a prime number and 20 is divisible by 5)
Prime Factorization of 20
In the prime factorization method, the number 20 is written as the product of its prime factors. To find the prime factorization of 20, we begin with dividing it by the smallest prime number, which is 2, and continue dividing until further division is not possible, as follows:
- Divide 20 by 2 i.e., 10
- Divide 10 by 2 i.e., 5
- Divide 5 by 5 i.e., 1
Factor Tree of 20
A factor tree is a diagram that breaks down a number into its prime factors. Here is a factor tree for the number 20:
Factor Pairs of 20
Factor Pair of 20 are the numbers which when multiplied with each other gives 20 as a result. The pairs can both be positive and negative.
Positive Factor Pairs of 20
Positive factor pairs of 20 are:
- 1 × 20 = 20
- 2 × 10 = 20
- 4 × 5 = 20
Negative Factor Pairs of 20
Negative factor pairs of 20 are:
- (-1) × (-20) = 20
- (-2) × (-10) = 20
- (-4) × (-5) = 20
Also, Check
Solved Examples on Factors of 20
Example 1. What is Sum of all Factors of 20?
Solution:
Factors of 20 are 1, 2, 4, 5, 10 and 20.
Sum of the factors of 20 = 1 + 2 + 4 + 5 + 10 + 20
Sum of the factors of 12 = 42
Example 2. Find the Common Factors of 20 and 40.
Solution:
Factors of 20 are 1, 2, 4, 5, 10 and 20.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.
Hence, the common factors of 20 and 40 are 1, 2, 4, 5, 10 and 20.
Example 3. Find Two factors of 20 whose product is equal to 20.
Solution:
Factors of 20 are 1, 2, 4, 5, 10, and 20.
Two factors of 20 whose product is equal to 20 are : 4 and 5 as 4 × 5 = 20.
Example 4. Express 20 as the Product of its Prime Factors.
Solution:
Prime factors of 20 are : 22 × 5.
Factors of 20 - Practice Questions
Q1. What is the product of all the factors of 20?
Q2. Find two factors of 20 whose product is equal to 10.
Q3. If d is a factor of both 20 and 10, what are the possible values of d?
Q4. Find two factors of 20 whose product is equal to 4.
Conclusion
Knowing how to find the factors is an important part of basic math that helps in solving many types of problems. Factors help break down numbers into smaller parts, which is useful in various calculations and problem-solving situations. The factors of 20, including 1, 2, 4, 5, 10, and 20, demonstrate how numbers can be divided evenly. Understanding the factors of 20 is a simple yet important concept in mathematics.
