Factors of 8
Factors of 8 are the list of integers that can be evenly divided into 8. It has a total of 4 factors of which 8 is the biggest factor and the positive factors of 8 are 1, 2, 4, and 8. The Pair Factors of 8 are (1, 8) and (2, 4) and its Prime Factors are 1, 2, 4, 8.
 Factors of 8: 1, 2, 4 and 8
 Negative Factors of 8: 1, 2, 4 and 8
 Prime Factors of 8: 2
 Prime Factorization of 8: 2 × 2 × 2 = 2^{3}
 Sum of Factors of 8: 15
What are Factors of 8?
Factors of 8 are those numbers that completely divide it leaving 0 as the remainder. For example, 8 ÷ 1 leaves a remainder 0.
We get 8 as the quotient and 0 as the remainder. This indicates that 8 is divisible by 1. Similarly,
 8 ÷ 2 = 4
 8 ÷ 4 = 2
 8 ÷ 8 = 1
Thus, the factors of 8 are 1, 2, 4, and 8.
How to Calculate the Factors of 8?
We can use different methods to find the factors of 8 such as the prime factorization method and the division method. In prime factorization, we express 8 as the product of its prime factors and in the division method, we look for numbers that divide 8 exactly without a remainder.
Factors of 8 By Division Method
We know that 8 is a composite number and it will have prime factors. Let us calculate the prime factors of the number 8. The first step is to divide 8 with the smallest prime factor, which is 2, followed by the others.
 8 ÷ 2 = 4
 8 ÷ 4 = 2
 8 ÷ 8 = 1
The division here shows that the number 8 is exactly divisible by 1, 2, 4, and 8. Hence, the total factors of 8 by division method are 1, 2, 4, and 8.
Factors of 8 By Prime Factorization
The factors of 8 can be represented by the upsidedown division method as:
Method 1;
The factors of 8 can be represented by the factor tree method as:
Method 2:
The factors of 8 by the prime factorization method are 1, 2, 4, and 8. Here, 2 is the prime factor of 8. Explore factors using illustrations and interactive examples:
 Factors of 9  The factors of 9 are 1, 3, and 9.
 Factors of 10  The factors of 10 are 1, 2, 5, and 10.
 Factors of 15  The factors of 15 are 1, 3, 5, and 15.
 Factors of 180  The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
 Factors of 20  The factors of 20 are 1, 2, 4, 5, 10, 20
Think Tank:
 Can you think of all the possible pair factors of 8?
 Can multiples of 8 also be the factors of 8?
Factors of 8 in Pairs
To find the factors of 8 in pairs, multiply the two numbers in a pair to get the resultant number as 8.
 Since 1 × 8 = 8, (1, 8) is a pair factor of 8. Similarly,
 2 × 4 = 8, thus, (2, 4) is a pair factor of 8.
 Therefore, (8, 1) and (2, 4) are the factors of 8 in pairs.
 Factors of 8 can be represented as negative pair factors as well. For example, 8 × 1 = 8, thus, (8, 1) is a negative pair factor of 8.
Important Notes:
 The factors of 8 are 1, 2, 4, and 8.
 1 is a universal factor because it is a factor of all numbers.
 Factors are quite often given as pairs of numbers which when multiplied together give the original number.
 The factors of 8 in pairs are (2, 4) and (1, 8).
 2 is the prime factor of 8.
Factors of 8 Solved Examples

Example 1: Kevin was asked to find the factors of 8 and 18. What will be his answer?
Solution:
Factors of 8 are 1, 2, 4, and 8 and the factors of 18 are 1, 2, 3, 6, 9, and 18.

Example 2: The following numbers were given to Mike and he was asked to find the number that was not a factor of 8. Help Mike find that number.
1, 2, 3, 4, 5, 6, 7, and 8.
Solution:
Factors of 8 are 1, 2, 4, and 8. When we divide 8 by 3, 5, 6, and 7, it leaves a reminder.
Thus, these numbers are not the factors of 8 which means 3, 5, 6, and 7 are not the factors of 8.

Example 3: What are the negative pair factors of 8?
Solution:
To find the negative pair factors, we take the following steps:2 × 4 = 8
8 × 1 = 8
Therefore, the negative pair factors of 8 are (2, 4) and (8, 1).
FAQs on Factors of 8
What are the Factors of 8?
The factors of 8 are 1, 2, 4, 8 and its negative factors are 1, 2, 4, 8.
How Many Factors of 8 are also common to the Factors of 4?
Since, the factors of 8 are 1, 2, 4, 8 and the factors of 4 are 1, 2, 4.
Hence, [1, 2, 4] are the common factors of 8 and 4.
What is the Sum of the Factors of 8?
All the Factors of 8 are 1, 2, 4, 8 and therefore the sum of all these factors is 1 + 2 + 4 + 8 = 15
What is the Greatest Common Factor of 8 and 5?
The factors of 8 are 1, 2, 4, 8 and the factors of 5 are 1, 5. 8 and 5 have only one common factor which is 1. This implies that 8 and 5 are coprime.
Hence, the Greatest Common Factor (GCF) of 8 and 5 is 1.
What are the Pair Factors of 8?
The pair factors of 8 are (1, 8), (2, 4).
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