# Factors of 804

Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, and 804

#### How to find factors of a number

 1.   Find factors of 804 using Division Method 2.   Find factors of 804 using Prime Factorization 3.   Find factors of 804 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 804

• Divide 804 by 1: 804 ÷ 1 : Remainder = 0
• Divide 804 by 2: 804 ÷ 2 : Remainder = 0
• Divide 804 by 3: 804 ÷ 3 : Remainder = 0
• Divide 804 by 4: 804 ÷ 4 : Remainder = 0
• Divide 804 by 6: 804 ÷ 6 : Remainder = 0
• Divide 804 by 12: 804 ÷ 12 : Remainder = 0
• Divide 804 by 67: 804 ÷ 67 : Remainder = 0
• Divide 804 by 134: 804 ÷ 134 : Remainder = 0
• Divide 804 by 201: 804 ÷ 201 : Remainder = 0
• Divide 804 by 268: 804 ÷ 268 : Remainder = 0
• Divide 804 by 402: 804 ÷ 402 : Remainder = 0
• Divide 804 by 804: 804 ÷ 804 : Remainder = 0

Hence, Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, and 804

#### 2. Steps to find factors of 804 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 804 using the division method, follow these steps:

• Step 1. Start dividing 804 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 804, which is 2. Divide 804 by 2 to obtain the quotient (402).
804 ÷ 2 = 402
• Step 3. Repeat step 1 with the obtained quotient (402).
402 ÷ 2 = 201
201 ÷ 3 = 67
67 ÷ 67 = 1

So, the prime factorization of 804 is, 804 = 2 x 2 x 3 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 804 as shown below:

So, the prime factorization of 804 is, 804 = 2 x 2 x 3 x 67.

#### 3. Find factors of 804 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 804 would be the two numbers which, when multiplied, give 804 as the result.

The following table represents the calculation of factors of 804 in pairs:

Factor Pair Pair Factorization
1 and 804 1 x 804 = 804
2 and 402 2 x 402 = 804
3 and 268 3 x 268 = 804
4 and 201 4 x 201 = 804
6 and 134 6 x 134 = 804
12 and 67 12 x 67 = 804

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 804. They are called negative pair factors.

Hence, the negative pairs of 804 would be ( -1 , -804 ) , ( -2 , -402 ) , ( -3 , -268 ) , ( -4 , -201 ) , ( -6 , -134 ) and ( -12 , -67 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 804 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 804.
• Every number is a factor of zero (0), since 804 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, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804 are exact divisors of 804.
• Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. Each factor divides 804 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804 are all less than or equal to 804.

• What are the prime factors of 804?

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
Prime factors of 804 are 2, 2, 3, 67.

• What two numbers make 804?

Two numbers that make 804 are 2 and 402.

• What is the greatest prime factors of 804?

The greatest prime factor of 804 is 67.

• What are factors of 804?

Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.

• How do you find factors of a negative number? ( eg. -804 )?

Factors of -804 are -1, -2, -3, -4, -6, -12, -67, -134, -201, -268, -402, -804.

• What are five multiples of 804?

First five multiples of 804 are 1608, 2412, 3216, 4020, 4824.

• Write some multiples of 804?

First five multiples of 804 are 1608, 2412, 3216, 4020.

• Is 804 a perfect square?

No 804 is not a perfect square.

• What two numbers make 804?

Two numbers that make 804 are 2 and 402.

#### Examples of Factors

What is prime factorization of 804?

Prime factorization of 804 is 2 x 2 x 3 x 67 = 22 x 3 x 67.

Sammy is puzzled while calculating the prime factors of 804. Can you help him find them?

Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
Prime factors of 804 are 2, 2, 3, 67

Kevin has been asked to write 11 factor(s) of 804. Can you predict the answer?

11 factor(s) of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402.

Joey wants to write all the prime factors of 804 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 804 are 2, 2, 3, 67.
So in exponential form it can be written as 22 x 3 x 67.

How many factors are there for 804?

Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
So there are in total 12 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 804? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
Negative factors are -1, -2, -3, -4, -6, -12, -67, -134, -201, -268, -402, -804.

Can you help Rubel to find out the product of the even factors of 804?

Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
Even factors of 804 are 2, 4, 6, 12, 134, 268, 402, 804.
Hence, product of even factors of 804 is; 2 x 4 x 6 x 12 x 134 x 268 x 402 x 804 = 6685658320896.