What is factor of 8

The variables (*8*) of 8 are numbers that separate exactly 8 without leaving any remainder. There are 4 variables of 8, they are 1, 2, 4, as well as 8. For this reason, the largest factor of 8 dissociates itself. If we add up all the factors, the sum will be 15. The pair of factors of 8 are (1, 8) and (2, 4). These pair factors when multiplied together will give the original number. 8 is also a perfect cube. We can determine the factor of 8 using the division method and the prime factorization method.

What is the factor of 8?

Contents

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

Pair factor of 8

A pair of numbers that are multiplied together to form the original 8 are called the factors of the pair of 8. As discussed above, the factors of the pair of 8s can be either positive or negative. The positive and negative pair factors of 8 are given below: Positive pair factors of 8: Negative pair factors of 8:

How to find the factor of 8?

8 is an integer that is also an even number. Since it’s a single-digit number, it’s much easier to find the factor of 8. There are two methods to find the factor of 8:

  • Division method
  • Prime factorization method

Elements of 8 by division method

The factors of 8 can be found using the division method. In division method, we need to find integers that divide by 8 exactly without leaving remainder and those integers are considered as factors of 8. Now let’s find the factor of 8 using the method division method.

  • 8/1 = 8 (Coefficient is 1 and Rest is 0)
  • 8/2 = 4 (Coefficient is 2 and Rest is 0)
  • 8/4 = 2 (Coefficient is 4 and Residual is 0)
  • 8/8 = 1 (Coefficient is 8 and Rest is 0)
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If we divide 8 by any number other than 1, 2, 8 and 8, it leaves a remainder. Therefore, the factors of 8 are 1, 2, 4, and 8.

Prime factor of 8

Read more: Calculating prime factors of 8 is the process of writing a number as a product of its prime factors. Now, let’s discuss the process of finding 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, i.e. 4/2 = 2.
  • 2 itself is a prime number and is divisible by 2.
  • Therefore, the prime factor of 8 is 2 × 2 × 2, or 23.

Another method to find prime factors of 8 is the factor tree method.

Factor tree

8 . factor treeTherefore, the only prime factor of 8 is one. The prime factor of the whole number 8 is 23. The exponent in the prime factor is 3. When you combine the number 1 with the exponent, that is 3 +1 = 4. Therefore, the number 8 has 4 variables.

Facts – Factor 8

  • Elements 8: 1, 2, 4 and 8
  • Prime factorization: 2 × 2 × 2
  • Prime factor 8: 2
  • Concatenate variables: (1, 8) as well as (2, 4)
  • Sum of variables of 8:15

Solved Examples of Factor 8

(* 8 *) Example 1: Find the common variables of 8 as well as 5. (* 8 *) Solution: The factors of 8 are 1, 2, 4 and 8. The factors of 5 are 1 and 5 is 5 is a prime number, the common factor of 8 and 5 is 1. (* 8 *) Example 2: Further reading: 35 cm in inches Find the common factors of 8 and 9. (* 8 *) Solution: Variables of 8 = 1, 2, 4 and 8, the factors of 9 = 1, 3 and 9. Therefore, the common factor of 8 and 9 is 1. (* 8 *) Example 3: Find the common variable of 8 and 4 ( * 8 *) Solution: The variables of 8 are 1, 2, 4 as well as 8. The factors of 4 are 1, 2 and 4. Therefore, the common factors of 8 and 4 are 1, 2 and 4. 4.

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Practice questions about 8 . variables

  • What is the lowest coefficient of 8?
  • Is there an odd number that is a factor of 8?
  • How many even numbers are variables of 8?
  • Follow BYJU’S for factors of 8 and variables and prime variables of other numbers. Download BYJU’S – Learning App for better experience as well as explanation. Read more: Menu

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