
Factors of 3
3 is the smallest odd prime number and 3 is the only number that is equal to the sum of preceding natural numbers. 3 is the only factor of 3 along with 1. Factors of 3 are both positive and negative. In this chapter, you will learn about factors 3 and we will calculate the factors of 3, prime factors of 3, and will see factors of 3 in pairs along with solved examples for a better understanding.
Factors of 3: 1, 3
Prime Factorization of 3: 1 × 3
1. | What Are the Factors of 3? |
2. | How to Calculate Factors of 3? |
3. | Factors of 3 by Prime Factorization |
4. | Factors of 3 in Pairs |
5. | FAQs on Factors of 3 |
What Are Factors of 3?
Factors of a 3 are the numbers which on divide 3 and gives the remainder zero. Factors of 3 are 1 and 3 only.
Note that -1 × -3 = 3. (-1, -3) are also factors, as a product of any two negative numbers gives a positive number.
But in this short lesson, let us focus on positive integers only.
How to Calculate the Factors of 3?
Let us learn how to calculate factors of 3
Step 1: Write down the number to be factored in. Here the number is 3.
Step 2: Find the two numbers whose product gives 3.
- We have 1 × 3 = 3
- Hence the factors are 1 and 3
Factors of 3 by Prime Factorization
Prime factorization of 3 is 3. 3 is the first odd prime number it has only two factors 1 and 3
Factors of 3 in Pair
The pair factors of 3 are 1,3. 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 prime number has 2 factors, i.e; 1 and the number itself.
- Every composite number always have a minimum 3 factors.
- All even numbers always have 2 as one of their factors.
Factors of 3 Solved Examples
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Example 1 Help Tom determines whether 3 is a prime number or a composite number.
Solution: Let us start by finding all the factors of 3
The factors are 1 and 3
If a number has only two factors, i.e., 1 and the number itself. It is a prime number.
If a number has more than two factors it is a composite number.
As 3 only have two factors, it is a prime number. -
Example 2 Rojer was giving a class test and was asked to determine the common factors of 3 and 12. Help Rojer to solve the problem.
Solution: The factors of 12 can be calculated using prime factorization:
We get :
The prime factorization of 12 as 2 × 2 × 3
The prime factorization of 3 as 1 × 3
Common factors of 3 and 12 are 3.
Interactive Questions
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Q 1.
Can you help Jenny match the following factor pairs of 3?
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.1Press enter key to drop response here.2Press enter key to drop response here.Select to move response to a response input area.3Select to move response to a response input area.not a factor -
Q 2.
James is counting the total number of factors of 3. Can you find it for him?
Responses -
Q 3.
What is the highest common factor of 3 and 5?
Responses
FAQs on Factors of 3
What is the factor pair of 3?
The positive factor pair of 3 is (1, 3)
What are the factor pairs of 3 and 9?
The factor pair of 3 is (1,3).
The factor pair of 9 are (1,9) and (3,3).
What are the common factors of 3 and 12?
The factor of 3 and 12 is 3.
What is the prime factor of 3?
The prime factor of 3 is 3 itself.
What is the GCF of 3 and 6?
The GCF of 3 and 6 is 3.
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