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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.

Factors of 3

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

  1. 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.

  2. 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. 

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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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