# Factors of 8 in pair

Factors of 8 in pair are (1, 8) , (2, 4)

#### How to find factors of a number in pair

 1.   Steps to find factors of 8 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 8 in pair

Factor Pair Pair Factorization
1 and 8 1 x 8 = 8
2 and 4 2 x 4 = 8

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 8. They are called negative pair factors.

Hence, the negative pairs of 8 would be ( -1 , -8 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 8 are 1 , 2 , 4 , 8. So, factors of 8 in pair are (1,8), (2,4).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 8 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 8.
• Every number is a factor of zero (0), since 8 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8 are exact divisors of 8.
• Factors of 8 are 1, 2, 4, 8. Each factor divides 8 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8 are all less than or equal to 8.

#### Steps to find Factors of 8

• Step 1. Find all the numbers that would divide 8 without leaving any remainder. Starting with the number 1 upto 4 (half of 8). The number 1 and the number itself are always factors of the given number.
8 ÷ 1 : Remainder = 0
8 ÷ 2 : Remainder = 0
8 ÷ 4 : Remainder = 0
8 ÷ 8 : Remainder = 0

Hence, Factors of 8 are 1, 2, 4, and 8

• Is 8 a composite number?

Yes 8 is a composite number.

• Is 8 a prime number?

No 8 is not a prime number.

• Is 8 a perfect square?

No 8 is not a perfect square.

• Write five multiples of 8.

Five multiples of 8 are 16, 24, 32, 40, 48.

• Write all odd factors of 8?

The factors of 8 are 1, 2, 4, 8.
Odd factors of 8 are 1.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 8 but she is finding it difficult. Can you help her find out?

Factors of 8 are 1, 2, 4, 8. So, factors of 8 in pair are (1,8), (2,4).

Sammy wants to write all the negative factors of 8 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 8 are -1, -2, -4, -8. Hence, factors of 8 in pair are (-1,-8), (-2,-4).

Help Deep in writing the positive factors of 8 in pair and negative factor of 8 in pair.

Factors of 8 are 1, 2, 4, 8. Positive factors of 8 in pair are (1,8), (2,4). Negative factors of 8 in pair are (-1,-8), (-2,-4).

Find the product of all factors of 8.

Factors of 8 are 1, 2, 4, 8. So the product of all factors of 8 would be 1 x 2 x 4 x 8 = 64.

Find the product of all prime factors of 8.

Factors of 8 are 1, 2, 4, 8. Prime factors are 2, 2, 2. So, the product of all prime factors of 8 would be 2 x 2 x 2 = 8.

Can you help Sammy list the factors of 8 and also find the factor pairs?

Factors of 8 are 1, 2, 4, 8.
Factors of 8 in pair are (1,8), (2,4).

Sammy has 8 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 8 blocks in all possible ways to form a rectangle, we need to calculate factors of 8 in pair. Therefore, factors of 8 in pair are (1,8), (2,4)