# Factors of 6 in pair

Factors of 6 in pair are (1, 6) , (2, 3)

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

 1.   Steps to find factors of 6 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 6 in pair

Factor Pair Pair Factorization
1 and 6 1 x 6 = 6
2 and 3 2 x 3 = 6

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 6. They are called negative pair factors.

Hence, the negative pairs of 6 would be ( -1 , -6 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 6 are 1 , 2 , 3 , 6. So, factors of 6 in pair are (1,6), (2,3).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 6 is a factor of itself.
• 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, 3, 6 are exact divisors of 6.
• 1 is a factor of every number. Eg. 1 is a factor of 6.
• Every number is a factor of zero (0), since 6 x 0 = 0.

#### Steps to find Factors of 6

• Step 1. Find all the numbers that would divide 6 without leaving any remainder. Starting with the number 1 upto 3 (half of 6). The number 1 and the number itself are always factors of the given number.
6 ÷ 1 : Remainder = 0
6 ÷ 2 : Remainder = 0
6 ÷ 3 : Remainder = 0
6 ÷ 6 : Remainder = 0

Hence, Factors of 6 are 1, 2, 3, and 6

• Is 6 a composite number?

Yes 6 is a composite number.

• Is 6 a prime number?

No 6 is not a prime number.

• What is the mean of factors of 6?

Factors of 6 are 1 , 2 , 3 , 6. therefore mean of factors of 6 is (1 + 2 + 3 + 6) / 4 = 3.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 6 blocks in order to form a rectangle in all possible ways? For arranging 6 blocks in order to form a rectangle in all possible ways we need to find factors of 6 in pair.

Factors of 6 are 1, 2, 3, 6. So, factors of 6 in pair are (1,6), (2,3).

Ariel has been asked to write all factor pairs of 6 but she is finding it difficult. Can you help her find out?

Factors of 6 are 1, 2, 3, 6. So, factors of 6 in pair are (1,6), (2,3).

How many total number of factors of 6 in pair are possible?

Factors of 6 are 1, 2, 3, 6. Hence, the factors of 6 in pair are (1,6), (2,3). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 6 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 6 are -1, -2, -3, -6. Hence, factors of 6 in pair are (-1,-6), (-2,-3).

Help Deep in writing the positive factors of 6 in pair and negative factor of 6 in pair.

Factors of 6 are 1, 2, 3, 6. Positive factors of 6 in pair are (1,6), (2,3). Negative factors of 6 in pair are (-1,-6), (-2,-3).

Find the product of all factors of 6.

Factors of 6 are 1, 2, 3, 6. So the product of all factors of 6 would be 1 x 2 x 3 x 6 = 36.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 6.
- Writing all prime factors of 6.
- Writing all the possible factors of 6 in pair.
Help him in writing all these.

Positive factors of 6 are 1, 2, 3, 6.
Prime factors of 6 are 2, 3.
Factors of 6 in pair are (1,6), (2,3).

Can you help Sammy list the factors of 6 and also find the factor pairs?

Factors of 6 are 1, 2, 3, 6.
Factors of 6 in pair are (1,6), (2,3).