Factors of 3 – Factor Pairs and Prime Factors

Factors of 3

The prime number 3 is an odd number too, so it is the smallest prime number. Another interesting fact about 3 is that it is the only natural number that is equal to the sum of its preceding natural numbers. We have  1 and 3 are the only factors of 3.

We can get both, positive and negative factors of 3. Today, we will learn how to calculate the factors of 3, how to find the prime factors of 3, and how to determine the factors of 3 in pairs. 

Factors of 3 

Factors of 3: There are two factors of 3 i.e. 1, and 3.

Prime Factorization of 3:  1 × 3

What Are Factors of 3?

If we multiply two numbers and get the number 3 as a product. Factors of 3 are the numbers which to divide 3 and there should be no reminder left. There are two factors of 3 i.e.  1 and 3.  

Factors of -3

When we multiply -1 by 3. We get -3 similarly, if we multiply 1 x -3 we also get -3. It is because when one factor is negative, we get the negative product. However, 

How to Calculate the Factors of 3?

Here’s a simple process to calculate the factors of 3.

The first step is to write down the number to be factored in. In this case, the number is 3.

Find the product of two numbers that gives 3.

We have 1 × 3 = 3

Therefore, there are two factors of 3, i.e. 1 and 3.

Factors of 3 by Prime Factorization

It is 1 and 3 which is the prime factorization of 3. Unlike the other odd prime numbers, 3 only has two factors, 1 and 3.

Factors of 3 in Pair

Negative pair factors of 3 are also possible because any two negative numbers can also be multiplied together to give a positive number.

The pair factors of 3 are as follows:

Positive Pairs: ( 1, 3) as 1 x 3 = 3

Negative Pairs: (-1, -3) as -1 x -3 = 3

As we know when we multiply two negative numbers, the product will be positive as a result.

Therefore, 1 and 3 are the pair factors of 3. 

Similarly, to find the pair factors of -3, we need to multiply only one negative factor to get the negative product.

-1 x  3 = -3

 1 x -3 = -3

Therefore, the pair factors of -3 are ( -1, 3) and ( 1, -3).

Tips and Tricks

  • There are two factors of every prime number, namely the number itself and 1.
  • A composite number always has a minimum of three factors.
  • There is always a factor 2 in even numbers.

FAQs

What is the factor pair of 3?

We have (1, 3) as the only positive factor pair of 3. Similarly, we have (-1, -3) as the only negative factor pair of 3.

What are the factor pairs of 3 and 9?

(1,3) is the factor pair of 3.

In the factor pair of 9, we have (1, 9) and (3, 3).

What are the common factors of 3 and 12?

The only common factor of the numbers 3 and 12 is 3.

What is the prime factor of 3?

3 itself is the prime factor of 3.

What is the GCF of 3 and 6?

3 and 6 have a GCF of 3.

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