Factors of 2
2 is the only even prime number. It is the only number when added and multiplied to itself brings the same result, 4. In this chapter, you will learn that all even numbers are multiples of 2. Factors of 2 can be positive and negative as well. In this lesson, we will calculate the factors of 2, prime factors of 2, and factors of 2 in pairs along with solved examples for a better understanding.
Factors of 2: 1, 2
Prime Factorization of 2: 2
| 1. | What Are the Factors of 2? |
| 2. | How to Calculate the Factors of 2? |
| 3. | Factors of 2 by Prime Factorization |
| 4. | Factors of 2 in Pairs |
| 5. | FAQs on Factors of 2 |
What Are the Factors of 2?
Factors of 2 are all the numbers which on multiplying give the result as 2.
Factors of 2 are 1 and 2 only.
Note that -1 × -2 = 2
(-1 , -2) are also factors of 2 as the product of any two negative numbers gives a positive number.
But in this short lesson, let us focus on positive integers only.
Explore factors using illustrations and interactive examples
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20.
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
- Factors of 1 - The factor of 1 is 1.
- Factors of 200 - The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.
How to Calculate the Factors of 2?
Let's learn how to calculate the factors of 2.
Step 1: Write down the number to be factored. Here the number is 2.
- Step 2: Find the two numbers whose product gives 2.
- We have 1 x 2 = 2
- Hence the factors are 1 and 2.
Factors of 2 by Prime Factorization
Prime factorization of 2 is 2.
2 is the only even prime number. It has only two factors 1 and 2.
Factors of 2 in Pairs
The pair factors of 2 are 1 and 2.
It is possible to have negative pair factors as well because the product of any two negative numbers can also give a positive number.
Tips and Tricks
- Every number, other than 1, has a minimum of 2 factors, i.e., 1 and the number itself.
- All even numbers always have 2 as one of their factors.
Factors of 2 Solved Examples
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Example 2 Adam was taking a class test and was asked to determine the prime factors of 12.
Help Adam solve the problem.
Solution: The factors of 12 can be calculated using prime factorization:
The prime factorization of 12 is 2 x 2 x 3.
Prime factors of 12 are 2 and 3, and we see that 2 is a repeated factor.
FAQs on Factors of 2
What is the factor pair of 2?
The positive factor pair of 2 is (1, 2).
What are the factor pair of 2 and 8?
The factor pair of 2 is (1, 2).
The factor pair of 8 are (1,8) and (2,4).
What are the factors of 2 and 5?
The factors of 2 are 1 and 2.
The factors of 5 are 1 and 5.