# Factors of 793

Factors of 793 are 1, 13, 61, and 793

#### How to find factors of a number

 1.   Find factors of 793 using Division Method 2.   Find factors of 793 using Prime Factorization 3.   Find factors of 793 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 793

• Divide 793 by 1: 793 ÷ 1 : Remainder = 0
• Divide 793 by 13: 793 ÷ 13 : Remainder = 0
• Divide 793 by 61: 793 ÷ 61 : Remainder = 0
• Divide 793 by 793: 793 ÷ 793 : Remainder = 0

Hence, Factors of 793 are 1, 13, 61, and 793

#### 2. Steps to find factors of 793 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 793 using the division method, follow these steps:

• Step 1. Start dividing 793 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 793, which is 13. Divide 793 by 13 to obtain the quotient (61).
793 ÷ 13 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 793 is, 793 = 13 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 793 as shown below:

So, the prime factorization of 793 is, 793 = 13 x 61.

#### 3. Find factors of 793 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 793 would be the two numbers which, when multiplied, give 793 as the result.

The following table represents the calculation of factors of 793 in pairs:

Factor Pair Pair Factorization
1 and 793 1 x 793 = 793
13 and 61 13 x 61 = 793

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 793. They are called negative pair factors.

Hence, the negative pairs of 793 would be ( -1 , -793 ) , ( -13 , -61 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 13, 61, 793 are exact divisors of 793.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 793 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 793.

• What are the prime factors of 793?

The factors of 793 are 1, 13, 61, 793.
Prime factors of 793 are 13, 61.

• What is the sum of all factors of 793?

The sum of all factors of 793 is 868.

• What are the pair factors of 793?

Pair factors of 793 are (1,793), (13,61).

• What two numbers make 793?

Two numbers that make 793 are 13 and 61.

• What are multiples of 793?

First five multiples of 793 are 1586, 2379, 3172, 3965.

• Is 793 a perfect square?

No 793 is not a perfect square.

• Which is greatest factor of 793?

The greatest factor of 793 is 61.

• How do you factors of 793?

Factors of 793 are 1, 13, 61, 793.

• What are five multiples of 793?

First five multiples of 793 are 1586, 2379, 3172, 3965, 4758.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 793?

Factors of 793 are 1, 13, 61, 793.
Even factors of 793 are 0.
Hence, product of even factors of 793 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 793? Help her in writing all the factors.

Positive factors are 1, 13, 61, 793.
Negative factors are -1, -13, -61, -793.

How many factors are there for 793?

Factors of 793 are 1, 13, 61, 793.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 793. Can you help him find them?

Factors of 793 are 1, 13, 61, 793.
Prime factors of 793 are 13, 61

Joey wants to write all the prime factors of 793 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 793 are 13, 61.
So in exponential form it can be written as 13 x 61.

What is prime factorization of 793?

Prime factorization of 793 is 13 x 61 = 13 x 61.

Can you help Rubel to find out the product of the even factors of 793?

Factors of 793 are 1, 13, 61, 793.
Even factors of 793 are 0.
Hence, product of even factors of 793 is; 0 = 0.