# Factors of 8

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

#### How to find factors of a number

 1.   Find factors of 8 using Division Method 2.   Find factors of 8 using Prime Factorization 3.   Find factors of 8 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 8

• Divide 8 by 1: 8 ÷ 1 : Remainder = 0
• Divide 8 by 2: 8 ÷ 2 : Remainder = 0
• Divide 8 by 4: 8 ÷ 4 : Remainder = 0
• Divide 8 by 8: 8 ÷ 8 : Remainder = 0

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

#### 2. Steps to find factors of 8 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 8 using the division method, follow these steps:

• Step 1. Start dividing 8 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 8, which is 2. Divide 8 by 2 to obtain the quotient (4).
8 ÷ 2 = 4
• Step 3. Repeat step 1 with the obtained quotient (4).
4 ÷ 2 = 2
2 ÷ 2 = 1

So, the prime factorization of 8 is, 8 = 2 x 2 x 2.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 8 as shown below:

So, the prime factorization of 8 is, 8 = 2 x 2 x 2.

#### 3. Find factors of 8 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 8 would be the two numbers which, when multiplied, give 8 as the result.

The following table represents the calculation of factors of 8 in pairs:

Factor Pair Pair Factorization
1 and 8 1 x 8 = 8
2 and 4 2 x 4 = 8

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 8. They are called negative pair factors.

Hence, the negative pairs of 8 would be ( -1 , -8 ) , ( -2 , -4 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 8 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 8.
• Every number is a factor of zero (0), since 8 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8 are exact divisors of 8.
• Factors of 8 are 1, 2, 4, 8. Each factor divides 8 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8 are all less than or equal to 8.

• What is prime factorization of 8?

Prime factorization of 8 is 2 x 2 x 2.

• How do you find factors of a negative number? ( eg. -8 )?

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

• What are the prime factors of 8?

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

• What are pair factors of 8?

The pair factors of 8 are (1,8), (2,4).

• What is the greatest prime factors of 8?

The greatest prime factor of 8 is 2.

• What are six multiples of 8?

First five multiples of 8 are 16, 24, 32, 40, 48, 56.

• What are factors of 8?

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

• Which is the smallest prime factor of 8?

Smallest prime factor of 8 is 2.

• Is 8 a whole number?

Yes 8 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 8. Can you predict the answer?

3 factor(s) of 8 are 1, 2, 4.

Sammy is puzzled while calculating the prime factors of 8. Can you help him find them?

Factors of 8 are 1, 2, 4, 8.
Prime factors of 8 are 2, 2, 2

What is prime factorization of 8?

Prime factorization of 8 is 2 x 2 x 2 = 23.

Ariel has been assigned the task to find the product of all the prime factors of 8. Can you help her?

Prime factors of 8 are 2, 2, 2.
Hence, the product of prime factors of 2.

Can you help Rubel to find out the product of the even factors of 8?

Factors of 8 are 1, 2, 4, 8.
Even factors of 8 are 2, 4, 8.
Hence, product of even factors of 8 is; 2 x 4 x 8 = 64.

Joy wants to calculate mean of all the factors of 8. Help him in finding the mean of 8.

Factors of 8 are 1, 2, 4, 8.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 8 is 1 + 2 + 4 + 8 = 15.
Hence, the mean of factors of 8 is 15 ÷ 4 = 3.75.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 8? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8.
Negative factors are -1, -2, -4, -8.