# Factors of 31 in pair

Factors of 31 in pair are (1, 31) ,

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

 1.   Steps to find factors of 31 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 31 in pair

Factor Pair Pair Factorization
1 and 31 1 x 31 = 31

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 31. They are called negative pair factors.

Hence, the negative pairs of 31 would be ( -1 , -31 ) , .

#### 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 31 are 1 , 31. So, factors of 31 in pair are (1,31).

#### 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

• Every number is a factor of zero (0), since 31 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, 31 are exact divisors of 31.
• Factors of 31 are 1, 31. Each factor divides 31 without leaving a remainder.

#### Steps to find Factors of 31

• Step 1. Find all the numbers that would divide 31 without leaving any remainder. Starting with the number 1 upto 15 (half of 31). The number 1 and the number itself are always factors of the given number.
31 ÷ 1 : Remainder = 0
31 ÷ 31 : Remainder = 0

Hence, Factors of 31 are 1 and 31

• Is there any even prime factor of 31?

No there is no even prime factor, i.e. 2, of 31.

• What is the mean of all prime factors of 31?

Factors of 31 are 1 , 31. Prime factors of 31 are 31. Therefore mean of prime factors of 31 is (31) / 1 = 31.00.

• What is the mean of factors of 31?

Factors of 31 are 1 , 31. therefore mean of factors of 31 is (1 + 31) / 2 = 16.00.

• 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

How many total number of factors of 31 in pair are possible?

Factors of 31 are 1, 31. Hence, the factors of 31 in pair are (1,31). Therefore, in total 1 pairs of factors are possible.

Help Deep in writing the positive factors of 31 in pair and negative factor of 31 in pair.

Factors of 31 are 1, 31. Positive factors of 31 in pair are (1,31). Negative factors of 31 in pair are (-1,-31).

Find the product of all factors of 31.

Factors of 31 are 1, 31. So the product of all factors of 31 would be 1 x 31 = 31.

Find the product of all prime factors of 31.

Factors of 31 are 1, 31. Prime factors are 31. So, the product of all prime factors of 31 would be 31 = 31.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 31.
- Writing all prime factors of 31.
- Writing all the possible factors of 31 in pair.
Help him in writing all these.

Positive factors of 31 are 1, 31.
Prime factors of 31 are 31.
Factors of 31 in pair are (1,31).

What are the pair factors of 31?

Factors of 31 are 1, 31. Hence, the factors of 31 in pair are (1,31).

Can you help Sammy list the factors of 31 and also find the factor pairs?

Factors of 31 are 1, 31.
Factors of 31 in pair are (1,31).

Sammy has 31 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 31 blocks in all possible ways to form a rectangle, we need to calculate factors of 31 in pair. Therefore, factors of 31 in pair are (1,31)