# Factors of 2431

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, and 2431

#### How to find factors of a number

 1.   Find factors of 2431 using Division Method 2.   Find factors of 2431 using Prime Factorization 3.   Find factors of 2431 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2431

• Divide 2431 by 1: 2431 ÷ 1 : Remainder = 0
• Divide 2431 by 11: 2431 ÷ 11 : Remainder = 0
• Divide 2431 by 13: 2431 ÷ 13 : Remainder = 0
• Divide 2431 by 17: 2431 ÷ 17 : Remainder = 0
• Divide 2431 by 143: 2431 ÷ 143 : Remainder = 0
• Divide 2431 by 187: 2431 ÷ 187 : Remainder = 0
• Divide 2431 by 221: 2431 ÷ 221 : Remainder = 0
• Divide 2431 by 2431: 2431 ÷ 2431 : Remainder = 0

Hence, Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, and 2431

#### 2. Steps to find factors of 2431 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 2431 using the division method, follow these steps:

• Step 1. Start dividing 2431 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 2431, which is 11. Divide 2431 by 11 to obtain the quotient (221).
2431 ÷ 11 = 221
• Step 3. Repeat step 1 with the obtained quotient (221).
221 ÷ 13 = 17
17 ÷ 17 = 1

So, the prime factorization of 2431 is, 2431 = 11 x 13 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2431 as shown below:

So, the prime factorization of 2431 is, 2431 = 11 x 13 x 17.

#### 3. Find factors of 2431 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 2431 would be the two numbers which, when multiplied, give 2431 as the result.

The following table represents the calculation of factors of 2431 in pairs:

Factor Pair Pair Factorization
1 and 2431 1 x 2431 = 2431
11 and 221 11 x 221 = 2431
13 and 187 13 x 187 = 2431
17 and 143 17 x 143 = 2431

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 2431. They are called negative pair factors.

Hence, the negative pairs of 2431 would be ( -1 , -2431 ) , ( -11 , -221 ) , ( -13 , -187 ) and ( -17 , -143 ) .

#### 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 2431 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, 11, 13, 17, 143, 187, 221, 2431 are exact divisors of 2431.
• Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431. Each factor divides 2431 without leaving a remainder.

• What are the prime factors of 2431?

The factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.
Prime factors of 2431 are 11, 13, 17.

• What is the sum of all factors of 2431?

The sum of all factors of 2431 is 3024.

• What are the pair factors of 2431?

Pair factors of 2431 are (1,2431), (11,221), (13,187), (17,143).

• What two numbers make 2431?

Two numbers that make 2431 are 11 and 221.

• What are multiples of 2431?

First five multiples of 2431 are 4862, 7293, 9724, 12155.

• Is 2431 a perfect square?

No 2431 is not a perfect square.

• Which is greatest factor of 2431?

The greatest factor of 2431 is 221.

• How do you factors of 2431?

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.

• What are five multiples of 2431?

First five multiples of 2431 are 4862, 7293, 9724, 12155, 14586.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 2431?

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.
Even factors of 2431 are 0.
Hence, product of even factors of 2431 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2431? Help her in writing all the factors.

Positive factors are 1, 11, 13, 17, 143, 187, 221, 2431.
Negative factors are -1, -11, -13, -17, -143, -187, -221, -2431.

How many factors are there for 2431?

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 2431. Can you help him find them?

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.
Prime factors of 2431 are 11, 13, 17

Joey wants to write all the prime factors of 2431 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2431 are 11, 13, 17.
So in exponential form it can be written as 11 x 13 x 17.

What is prime factorization of 2431?

Prime factorization of 2431 is 11 x 13 x 17 = 11 x 13 x 17.

Can you help Rubel to find out the product of the even factors of 2431?

Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431.
Even factors of 2431 are 0.
Hence, product of even factors of 2431 is; 0 = 0.