# Factors of 8 With Examples

## Factors of 8 With Examples

There are four factors of 8, they are 1, 2, 4, and 8. The factors of 8 are the numbers that divide 8 exactly without leaving any remainder. Hence, the highest factor is 8 which divides itself. If we sum of all 8 factors, then the sum will be equal to 15.

The pair factors of 8 are (1, 8) and (2, 4). These pair factors when multiplied together result in the original number. 8 is also a perfect cube. We can determine the factors of 8 by the division method and prime factorisation method.

### What are the Factors of 8?

A number or an integer that divides 8 exactly without leaving a remainder, then the number is a factor of 8. As the number 8 is an even composite number, it has more than two factors. Thus, the factors of 8 are 1, 2, 4 and 8.

## Pair Factors of Eight

A pair of numbers, which are multiplied together resulting in an original number 8 is called the pair factors of Eight. As discussed above, the pair factors of Eight can be positive or negative. The positive and negative pair factors of Eight are given below:

Positive Pair Factors of Eight:

 Positive Factors of Eight Positive Pair Factors of Eight 1 × 8 (1, 8) 2 × 4 (2, 4)

Negative Pair Factors of Eight:

 Negative Factors of Eight Negative Pair Factors of Eight -1 × -8 (-1, -8) -2 × -4 (-2, -4)

## How to Find Factors of Eight?

8 is a whole number that is also an even number. Since it is a single-digit number, therefore, it is much easier to find the factors of Eight.

There are two methods to find the factors of Eight:

• Division method
• Prime factorisation method

## Factors of 8 by Division Method

The factors of Eight can be found using the division method. In the division method, we need to find the integers which divide 8 exactly without leaving a remainder, and those integers are considered as the factors of Eight. Now, let us find the factors of Eight using the division method.

• 8/1 = 8 (Factor is 1 and Remainder is 0)
• 8/2 = 4 (Factor is 2 and Remainder is 0)
• 8/4 = 2 (Factor is 4 and Remainder is 0)
• 8/8 = 1 (Factor is 8 and Remainder is 0)

If we divide 8 by any numbers other than 1, 2, 8 and 8, it leaves a remainder. Hence, the factors of 8 are 1, 2, 4 and 8.

## Prime Factorization of 8

The prime factorization of 8 is the process of writing the number as the product of its prime factors. Now, let us discuss the process of finding the prime factors of 8.

• Divide 8 by the smallest prime number, i.e. 2, i.e., 8/2 = 4.
• Divide 4 by the smallest possible prime number, i.e., 4/2 = 2.
• 2 is itself a prime number and is divisible by 2.
• Therefore, the prime factorization of 8 is 2 × 2 × 2 or 23.

## Facts – Factors of 8

• Factors of 8: 1, 2, 4 and 8
• Prime factorisation: 2 ×× 2
• Prime factor of 8: 2
• Pair factors: (1, 8) and (2, 4)
• Sum of factors of 8: 15

## Solved Examples on Factors of 8

Example 1:

Find the common factors of Eight and 5.

Solution:

The factors of 8 are 1, 2, 4 and 8.

The factors of 5 are 1 and 5.

As 5 is a prime number, the common factor of Eight and 5 is 1.

Example 2:

Find the common factors of Eight and 9.

Solution:

Factors of 8 = 1, 2, 4 and 8.

Factors of 9 = 1, 3, and 9.

Hence, the common factor of 8 and 9 is 1.

## Frequently Asked Questions on Factors of Eight

### Q1 What are the factors of Eight?

Ans. The factors of Eight are 1, 2, 4 and 8.

### Q2 What is the prime factorization of Eight?

Ans. The prime factorization of Eight is 2 × 2 × 2 or 23.

### Q3 What is the sum of all factors of Eight?

Ans. The sum of all factors of Eight is 15.

### Q4 What is the greatest common factor of 8 and 7?

Ans. The greatest common factor of 8 and 7 is 1.

### Q5 What are the positive pair factors of Eight?

Ans. The positive pair factors of Eight are (1, 8) and (2, 4).

### Q6 Write down the negative pair factors of Eight.

Ans. The negative pair factors of Eight are (-1, -8) and (-2, -4).

### Q7 Is 2 a factor of Eight?

Ans. Yes, 2 is a factor of Eight. If 8 is divisible by 2, it leaves a quotient of 4 and remainder 0, and hence 2 is a factor of Eight.

Category: Maths