Factors of 8

Factors of 8 are the whole numbers 1, 2, 4, and 8. Factors of 8 are the integers that are multiplied in fixed pair to yield the product 8. Here, 8 can be divided by any integer using the division method to get a natural number.

Let’s now see how to compute all factors of 8 in detailing various subtopics that are given below.

What are Factors of 8?

Factors of 8 are the integers that when dividing the number 8, leave no remainder behind. We can say that factors of 8 are the perfect divisors of 8. The divisor and quotient involved in the division of 8 are the factors of 8 as their multiplication yields the product 8. Based on this the factors of 8 are 1, 2, and 4.

Factors of 8 Calculator

Try out the following calculator to find out the factors of 8

How to Find Factors of 8?

To, find out the factors of 8, you can follow the various methods that are given below

• Factors by Division Method

• Factors by Multiplication Method

Factors of 8 by Division Method

We use division method to get the factors of 8 by finding pairs of numbers that, if divided together, result in 8. To do it, you must divide the smallest number 2, in this case until you get the quotient equals 1. So, the factor pairs for eight are as follows, let’s see:

• 8 ÷ 2 = 4
• 4 ÷ 2 = 2
• 2 ÷ 2 = 1

So at last, we get the quotient as 1, and the factors of 8 are 1, 2, 4, and 8.

Factors of 8 by Multiplication Method

You can use the multiplication method to get the factors of 8 by finding pairs of numbers that, if multiplied together, result in 8. So, let’s begin with the pairs to get 8;

• 1 × 8 = 8
• 2 × 4 = 8
• 8 × 1 = 8
• 4 × 2 = 8

Therefore, the factors of 8 obtained by the multiplication method are 1, 2, 4, and 8.

All Factors of 8

List of 8 factors is as follows:

Factors of 8 are 1, 2, 4, and 8

Learn, Factors of a Number

Prime Factorization of 8

A number is expressed as a product of its prime factors when it is prime factorized. So, in this case, the prime factorization of 8 is given in the following steps;

• Let’s begin with 8, 8 = 2 × 4
• Then, factorization of 4, 4 = 2 × 2
• At last combine 8, 8 = 2 × 2 × 2

So, the prime factorization of 8 is 2³

Prime Factorization of 8

Prime Factors of 8

The number 8 is a composite number that is made up of more than two numbers for finding factors. So, the first step in determining the prime factors is to divide 8 by the smallest prime factor 2, and continue until you get the 1.

• 8 ÷ 2 = 4
• 4 ÷ 2 = 2
• 2 ÷ 2 = 1

Therefore, the prime factorization of 8 = 2 × 2 × 2 or 2³

Learn, Prime Factorization

Factor Tree of 8

The factor tree of 8, will be expressed as the product of prime factors;

• Start with the number 8.

• Now, Expand 8 into two factors 2 and 4.

• Then, 2 will remain as it is, because of the term prime number.

• At last, the expanded number of 4 is 2 and 2.

Now, we have the factor tree for 8, and you can read the prime factorization from starting at the lowest level and working your way up, So, the prime factor tree of 8, that is 2 × 2 × 2 or 2³

Factor Pairs of 8

Factor pairs are two factors that result in the original number when multiplied together. Even, they are distributed in two pairs of factors of 8 that are given below:

Positive Factor Pair of 8

The product, which takes the form of a factor, is obtained by multiplying the two positive numbers together. To get the number 8, let’s pair the positive integers,

• 1 × 8 = 8
• 2 × 4 = 8
• 8 × 1 = 8
• 4 × 2 = 8

So, the positive Factor pairs of 8 are (1, 8) and (2, 4)

Negative Factor Pair of 8

The product, which takes the form of a factor, is obtained by multiplying the two negative numbers together. To get the number 8, let’s pair the negative integers,

• -1 × -8 = 8
• -2 × -4 = 8
• -8 × -1 = 8
• -4 × -2 = 8

So, the negative Factor pairs of 8 are (-1, -8) and (-2, -4)

Factors of 8 Solved Examples

Some examples related to factors of 8 are,

Example 1: What is the sum of all the factors of 8?

Solution:

Factors of 8 are 1, 2, 4,and 8

Sum of factors of 8 = 1 + 2 + 4 + 8

Sum of factors of 8 = 15

Example 2: What are the common factors of 8 and 14?

Solution:

Common factor of given numbers 8 and 14 are given below;

8 = 1, 2, 4, and 8

14 = 1, 2, 7, and 14

Therefore, common factors of 8 and 14 are 1 and 2

Example 3: The teacher brought a chocolate cake to the classroom and cut it into 8 pieces. How will she divide the cake equally among the 4 children?

Solution:

Numbers of Pieces Cut = 8

Numbers of Children = 4

Number of Pieces ÷ No. of Childrens = 8 ÷ 4 = 2

Therefore, the teacher will give each child a 2 pieces of cake

Example 4: Find common factors of 8 and 12.

Solution:

Common factor of given numbers 8 and 12 are given below;

8 = 1, 2, 4, and 8

12 = 1, 2, 3, 4, 6, and 12

Therefore, common factors of 8 and 12 are 1,2 and 4

Factors of 8 Practice Questions

Some questions on factors of 120 are,

Q1: What is the sum of the factors of 8?

Q2: What is the smallest factor of 8?

Q3: What are the negative pair factors of 8?

Q4: Is 8 a composite number?

Factors of 8 Frequently Asked Questions

What are Factors of 8?

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

What is Prime Factorization of 8?

Prime factorization of 8 is 2³

Is 4 a Factor of 16?

Yes, 4 is a factor of 16.

What are Negative Factor Pairs of 8?

Negative Factor pairs of 8 are (-1, -8) and (-2, -4).

What are Common Factors of 2 and 8?

Common Factors of 2 and 8 are 1, 2.

What are Common Factors of 8 and 24?

Common factors of 8 and 24 are 1, 2, 4, and 8