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 2^{3}.
Facts – Factors of 8
- Factors of 8: 1, 2, 4 and 8
- Prime factorisation: 2 × 2 × 2
- Prime factor of 8: 2
- Pair factors: (1, 8) and (2, 4)
- Sum of factors of 8: 15
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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 2^{3}.
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