Factors of 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:

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.

Frequently Asked Questions

• 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