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112 Learners

Last updated on ** September 27th, 2024**

The factors of 8 factors divide 8 equally, with zero remainder. In day-to-day life, we use factors in calculating measurements that require precise division. In this article, you will learn more about the factors of 8.

The factors of 8 are 1, 2, 4 and 8

**Negative Factors:**These are negative counterparts of the positive factors.

Negative factors: -1, -2, -4, -8

**Prime Factors:**Prime factors are the prime numbers themselves, when multiplied together, give 8 as the product.

Prime factor: 2

**Prime Factorization: **Prime factorization involves breaking 8 into its prime factors.

It is expressed as 2^{3}

Table listing the factors of 8

There are different methods to find the factors of 8.

Methods to find the factors of 8:

- Multiplication Method

- Division Method

- Prime Factor and Prime Factorization

- Factor Tree

The multiplication method finds the pair of factors that give 8 as their product. Step-by-step process given below:

**Step 1:** Find the pair of numbers whose product is 8.

**Step 2: **The factors are those numbers, when multiplied, give 8.

**Step 3:** Make a list of numbers whose product will be 8.

A list of numbers whose products are 8 is given below:

- 1 × 8 = 8

- 2 × 4 = 8

The division method finds the numbers that fully divide the given number. Step-by-step process given below:

**Step 1:** Since every number is divisible by 1, 1 will always be a factor. Example: 8÷1 = 8

**Step 2: **Move to the next integer. Both divisor and quotient are the factors.

Picture showing the division method:

Overview of Factors of 8 using the division method:

Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is breaking down the number into its prime factors.

**Prime Factors of 8:** There is only one prime factor for 8.

Prime factors of 8: 2

To find the prime factors of 8, divide 8 with the prime number 2

- 8÷2 = 4

- 4÷2 = 2

- 2÷2 = 1

**Prime Factorization of 8:** Prime Factorization breaks down the prime factors of 8

Expressed as 2^{3}

The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.

Factor Tree for 8:

Factors of 8 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

**Positive Factor Pairs: **(1,8), (2,4)

**Negative Factor Pairs:** (-1,-8), (-2,-4)

**Divisor:**Number that divides another number

**Quotient:**The number you get when you divide a number with another.

**Perfect Square:**The number we get when the same number is multiplied twice.

**Perfect Cube:**The number you get when the same number is multiplied thrice.

**Multiple:**Numbers we get when another number multiplies the given number.