 # Factors of 8

The factors of 8 are the numbers, that produce the result as 8 when two numbers are multiplied together. Consider an example, the factor pair of 17 is written as (1,17) and (-1,-17). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1 × -17, then we get the number 17. Thus, we can consider both positive and negative factor pairs of 17. To find the factors of a number, 8, we will use the factorization method.

In the factorization method, first take the numbers, 1 and 8 as factors of 8 and proceed with finding the other pair of multiples of 8 which gives the results as an original number. To understand this method in a better way, read the below article to find factor 8 in pairs and also the division method to find the prime factors of 8 is discussed. Some of the properties of the factor are:

• The number 1 is a factor of every given number
• Every number is should be a factor of a given number
• The factor number should be less than or equal to the given number
• For a number, there is an infinite number of factors sometimes.

## Factors of 8

 Factors of 8 1, 2, 4, and 8

## Pair Factors of 8

To find the pair factors of a number 8, multiply the two numbers in a pair to get the original number as 8, such numbers are as follows

If 1 × 8 = 8, then (1, 8) is a pair factor of 8.

Similarly, 2 × 4 = 8, (2, 4) is a pair factor of 8

Therefore, the positive pair factors of 8 are (1, 8), and (2, 4).

To find the negative pair factors ,

If -1 × -8 = 8, then (-1,- 8) is a pair factor of 8

-2 × -4 = 8, (-2,- 4) is a pair factor of 8

Therefore, the negative pair factors of 8 are (-1, -8), and (-2,- 4).

### How to calculate the Factors of 8?

Learn the following steps to calculate the factors of a number 8.

• First, write the number 8
• Find the two numbers, which gives the result as 8 under the multiplication, say 2 and 4, such as      2 × 4 = 8.
• We know that 2 is a prime number which has only two factors, i.e., 1 and the number itself( 1 and 2). So, it cannot be further factorized.  2 = 2 × 1
• But look at the number 4, which is a composite number but not a prime number. So it can be further factorized. 4 can be factorised as 2 x 2 x 1
• Therefore, the factorization of 8 is written as, 8 = 2 × 2 × 2 x 1
• Finally, write down all the unique numbers which we can obtain from 2 × 2 × 2 x 1

### Prime Factors of 8 by Division Method

The number 8 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 8.

Step 1: The first step is to divide the number 8 with the smallest prime factor, say 2.

8 ÷ 2 = 4

Step 2: Again divide 4 by 2 and the process goes on.

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 8 are written as 2 × 2 x 2 or 23, where 2 is a prime number.

The number 8 is considered as a perfect cube. We will find the exact number of factors with the help of prime factorisation. The prime factor of the 8 is 23. The exponent in the prime factorisation is 3. When you add the number 1 with the exponent, i.e.,3 +1 = 4. Therefore, the number 8 has 4 factors.

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