Factors of 2

Factors of 2 are the numbers which get multiplied and produce the result as 2. Suppose, when we multiply 2 and 3, we get 6, i.e. 2 × 3 = 6 such that 2 and 3 are the factors of 6. We know that 2 is the smallest prime number and the smallest positive even number. Hence, finding the factors of 2 will be easy and interesting. In this article, you will understand how to find the factors of a number 2 and prime factors of 2.

What are the Factors of 2?

As we know, 2 is a prime number, it has only two factors, i.e. 1 and 2. Also, we know that the factors of 2 are the exact divisors of that number. There is another way to represent the factors of any number, i.e. by arranging the number of objects (equal to the number for which we need to find the factors).

In this case, we will be arranging two dots in different patterns such as:

. . and :

The first pattern shows two dots are arranged in one row and 2 columns, i.e. 1 × 2.

The second pattern shows two dots arranged in two rows and 1 column, i.e. 2 × 1.

Factors of 2
1 and 2

Factor pairs of 2

From the above patterns, we can write the factor pairs as:

1 × 2 = 2; (1, 2)

2 × 1 = 2; (2, 1)

These are the positive pair factors for 2.

Therefore, the factors of 2 are: 1 and 2.

We can also write the negative pair factors of 2 such as:

(-1) × (-2) = 2

(-2) × (-1) = 2

Thus, the negative pair factors of 2 are (-1, -2) and (-2, -1).

How to calculate Prime Factors of 2?

We know that 2 is the smallest prime number. We cannot factor it further since the factor of any number will be less than or equal to that number.

Therefore, there are no other prime factors other than 2 itself.

Video Lesson on Prime Factors

Get Factors of more Numbers Here

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Factors of 18 Factors of 20 Factors of 21

To learn more about factors and multiplies and other maths concepts, visit byjus.com and download BYJU’S – The Learning App and get the practice tests.

Frequently Asked Questions on Factors of 2

Q1

What is a factor pair of 2?

A factor pair is a set of two factors, which, when multiplied together, gives a particular product. Thus, the factor pair of 2 is (1, 2) or (2, 1).

Q2

Is 2 a factor of every number?

No, 2 is not a factor of every number and it is a factor for only even numbers.

Q3

What are the multiples of 2?

The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, etc.

Q4

What are factors of a number?

Factors are the numbers you multiply together to get another number. Also, factors are the exact divisors of that number, and every number contains at least two factors.

Q5

What are the 2 prime factors of 12?

The prime factorisation 12 is: 12 = 2 × 2 × 3

Therefore, the two prime factors of 12 are 2 and 3.

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