# Factors of 803

Factors of 803 are 1, 11, 73, and 803

#### How to find factors of a number

 1.   Find factors of 803 using Division Method 2.   Find factors of 803 using Prime Factorization 3.   Find factors of 803 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 803

• Divide 803 by 1: 803 ÷ 1 : Remainder = 0
• Divide 803 by 11: 803 ÷ 11 : Remainder = 0
• Divide 803 by 73: 803 ÷ 73 : Remainder = 0
• Divide 803 by 803: 803 ÷ 803 : Remainder = 0

Hence, Factors of 803 are 1, 11, 73, and 803

#### 2. Steps to find factors of 803 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 803 using the division method, follow these steps:

• Step 1. Start dividing 803 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 803, which is 11. Divide 803 by 11 to obtain the quotient (73).
803 ÷ 11 = 73
• Step 3. Repeat step 1 with the obtained quotient (73).
73 ÷ 73 = 1

So, the prime factorization of 803 is, 803 = 11 x 73.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 803 as shown below:

So, the prime factorization of 803 is, 803 = 11 x 73.

#### 3. Find factors of 803 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 803 would be the two numbers which, when multiplied, give 803 as the result.

The following table represents the calculation of factors of 803 in pairs:

Factor Pair Pair Factorization
1 and 803 1 x 803 = 803
11 and 73 11 x 73 = 803

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 803. They are called negative pair factors.

Hence, the negative pairs of 803 would be ( -1 , -803 ) , ( -11 , -73 ) .

#### 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 number is a factor of zero (0), since 803 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, 73, 803 are exact divisors of 803.
• Factors of 803 are 1, 11, 73, 803. Each factor divides 803 without leaving a remainder.

• What two numbers make 803?

Two numbers that make 803 are 11 and 73.

• What is prime factorization of 803?

Prime factorization of 803 is 11 x 73.

• Write some multiples of 803?

First five multiples of 803 are 1606, 2409, 3212, 4015.

• Which is the smallest prime factor of 803?

The smallest prime factor of 803 is 11.

• Is 803 a perfect square?

No 803 is not a perfect square.

• What is the sum of all factors of 803?

The sum of all factors of 803 is 888.

• What are factors of 803?

Factors of 803 are 1, 11, 73, 803.

• How do you find factors of a negative number? ( eg. -803 )?

Factors of -803 are -1, -11, -73, -803.

• Is 803 a whole number?

Yes 803 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 803. Help him in finding the mean of 803.

Factors of 803 are 1, 11, 73, 803.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 803 is 1 + 11 + 73 + 803 = 888.
Hence, the mean of factors of 803 is 888 ÷ 4 = 222.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 803? Help her in writing all the factors.

Positive factors are 1, 11, 73, 803.
Negative factors are -1, -11, -73, -803.

Joey wants to write all the prime factors of 803 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 803 are 11, 73.
So in exponential form it can be written as 11 x 73.

Kevin has been asked to write 3 factor(s) of 803. Can you predict the answer?

3 factor(s) of 803 are 1, 11, 73.

Sammy is puzzled while calculating the prime factors of 803. Can you help him find them?

Factors of 803 are 1, 11, 73, 803.
Prime factors of 803 are 11, 73

What is prime factorization of 803?

Prime factorization of 803 is 11 x 73 = 11 x 73.

Can you help Rubel to find out the product of the even factors of 803?

Factors of 803 are 1, 11, 73, 803.
Even factors of 803 are 0.
Hence, product of even factors of 803 is; 0 = 0.