# Factors of 131

Factors of 131 are 1 and 131

#### How to find factors of a number

 1.   Find factors of 131 using Division Method 2.   Find factors of 131 using Prime Factorization 3.   Find factors of 131 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 131

• Divide 131 by 1: 131 ÷ 1 : Remainder = 0
• Divide 131 by 131: 131 ÷ 131 : Remainder = 0

Hence, Factors of 131 are 1 and 131

#### 2. Steps to find factors of 131 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 131 using the division method, follow these steps:

• Step 1. Start dividing 131 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 131, which is 131. Divide 131 by 131 to obtain the quotient (1).
131 ÷ 131 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 131 is, 131 = 131.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 131 as shown below:

So, the prime factorization of 131 is, 131 = 131.

#### 3. Find factors of 131 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 131 would be the two numbers which, when multiplied, give 131 as the result.

The following table represents the calculation of factors of 131 in pairs:

Factor Pair Pair Factorization
1 and 131 1 x 131 = 131

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 131. They are called negative pair factors.

Hence, the negative pairs of 131 would be ( -1 , -131 ) , .

#### 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 131 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, 131 are exact divisors of 131.
• Factors of 131 are 1, 131. Each factor divides 131 without leaving a remainder.

• What are the pair factors of 131?

Pair factors of 131 are (1,131).

• What are five multiples of 131?

First five multiples of 131 are 262, 393, 524, 655, 786.

• What two numbers make 131?

Two numbers that make 131 are 131 and 1.

• What is the sum of all factors of 131?

The sum of all factors of 131 is 132.

• What are factors of -131?

Factors of -131 are -1, -131.

• What are factors of 131?

Factors of 131 are 1, 131.

• Is 131 a perfect square?

No 131 is not a perfect square.

• Which is the smallest prime factor of 131?

Smallest prime factor of 131 is 131.

• Which is greatest factor of 131?

The greatest factor of 131 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 131?

Factors of 131 are 1, 131.
Odd factors of 131 are 1, 131.
Hence product of odd factors of 131 is; 1 x 131 = 131.

Joey wants to write all the prime factors of 131 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 131 are 131.
So in exponential form it can be written as 131.

How many factors are there for 131?

Factors of 131 are 1, 131.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 131. Can you predict the answer?

1 factor(s) of 131 is 1.

Sammy is puzzled while calculating the prime factors of 131. Can you help him find them?

Factors of 131 are 1, 131.
Prime factors of 131 are 131

What is prime factorization of 131?

Prime factorization of 131 is 131 = 131.

Can you help Rubel to find out the product of the even factors of 131?

Factors of 131 are 1, 131.
Even factors of 131 are 0.
Hence, product of even factors of 131 is; 0 = 0.