Factors of 8

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 upside-down 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.