# Factors of 931

Factors of 931 are 1, 7, 19, 49, 133, and 931

#### How to find factors of a number

 1.   Find factors of 931 using Division Method 2.   Find factors of 931 using Prime Factorization 3.   Find factors of 931 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 931

• Divide 931 by 1: 931 ÷ 1 : Remainder = 0
• Divide 931 by 7: 931 ÷ 7 : Remainder = 0
• Divide 931 by 19: 931 ÷ 19 : Remainder = 0
• Divide 931 by 49: 931 ÷ 49 : Remainder = 0
• Divide 931 by 133: 931 ÷ 133 : Remainder = 0
• Divide 931 by 931: 931 ÷ 931 : Remainder = 0

Hence, Factors of 931 are 1, 7, 19, 49, 133, and 931

#### 2. Steps to find factors of 931 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 931 using the division method, follow these steps:

• Step 1. Start dividing 931 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 931, which is 7. Divide 931 by 7 to obtain the quotient (133).
931 ÷ 7 = 133
• Step 3. Repeat step 1 with the obtained quotient (133).
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 931 is, 931 = 7 x 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 931 as shown below:

So, the prime factorization of 931 is, 931 = 7 x 7 x 19.

#### 3. Find factors of 931 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 931 would be the two numbers which, when multiplied, give 931 as the result.

The following table represents the calculation of factors of 931 in pairs:

Factor Pair Pair Factorization
1 and 931 1 x 931 = 931
7 and 133 7 x 133 = 931
19 and 49 19 x 49 = 931

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 931. They are called negative pair factors.

Hence, the negative pairs of 931 would be ( -1 , -931 ) , ( -7 , -133 ) and ( -19 , -49 ) .

#### 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 931 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, 7, 19, 49, 133, 931 are exact divisors of 931.
• Factors of 931 are 1, 7, 19, 49, 133, 931. Each factor divides 931 without leaving a remainder.

• Is 931 a perfect square?

No 931 is not a perfect square.

• What are factors of 931?

Factors of 931 are 1, 7, 19, 49, 133, 931.

• Which is greatest factor of 931?

The greatest factor of 931 is 133.

• What is the sum of all factors of 931?

The sum of all factors of 931 is 1140.

• What are multiples of 931?

First five multiples of 931 are 1862, 2793, 3724, 4655.

• What is the greatest prime factors of 931?

The greatest prime factor of 931 is 19.

• What are six multiples of 931?

First five multiples of 931 are 1862, 2793, 3724, 4655, 5586, 6517.

• What is prime factorization of 931?

Prime factorization of 931 is 7 x 7 x 19.

• Is 931 a whole number?

Yes 931 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 931? Help her in writing all the factors.

Positive factors are 1, 7, 19, 49, 133, 931.
Negative factors are -1, -7, -19, -49, -133, -931.

Can you help Sammy find out the product of the odd factors of 931?

Factors of 931 are 1, 7, 19, 49, 133, 931.
Odd factors of 931 are 1, 7, 19, 49, 133, 931.
Hence product of odd factors of 931 is; 1 x 7 x 19 x 49 x 133 x 931 = 806954491.

Joey wants to write all the prime factors of 931 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 931 are 7, 7, 19.
So in exponential form it can be written as 72 x 19.

How many factors are there for 931?

Factors of 931 are 1, 7, 19, 49, 133, 931.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 931. Can you predict the answer?

5 factor(s) of 931 are 1, 7, 19, 49, 133.

Sammy is puzzled while calculating the prime factors of 931. Can you help him find them?

Factors of 931 are 1, 7, 19, 49, 133, 931.
Prime factors of 931 are 7, 7, 19

What is prime factorization of 931?

Prime factorization of 931 is 7 x 7 x 19 = 72 x 19.