# Factors of 792

Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792

#### How to find factors of a number

 1.   Find factors of 792 using Division Method 2.   Find factors of 792 using Prime Factorization 3.   Find factors of 792 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 792

• Divide 792 by 1: 792 ÷ 1 : Remainder = 0
• Divide 792 by 2: 792 ÷ 2 : Remainder = 0
• Divide 792 by 3: 792 ÷ 3 : Remainder = 0
• Divide 792 by 4: 792 ÷ 4 : Remainder = 0
• Divide 792 by 6: 792 ÷ 6 : Remainder = 0
• Divide 792 by 8: 792 ÷ 8 : Remainder = 0
• Divide 792 by 9: 792 ÷ 9 : Remainder = 0
• Divide 792 by 11: 792 ÷ 11 : Remainder = 0
• Divide 792 by 12: 792 ÷ 12 : Remainder = 0
• Divide 792 by 18: 792 ÷ 18 : Remainder = 0
• Divide 792 by 22: 792 ÷ 22 : Remainder = 0
• Divide 792 by 24: 792 ÷ 24 : Remainder = 0
• Divide 792 by 33: 792 ÷ 33 : Remainder = 0
• Divide 792 by 36: 792 ÷ 36 : Remainder = 0
• Divide 792 by 44: 792 ÷ 44 : Remainder = 0
• Divide 792 by 66: 792 ÷ 66 : Remainder = 0
• Divide 792 by 72: 792 ÷ 72 : Remainder = 0
• Divide 792 by 88: 792 ÷ 88 : Remainder = 0
• Divide 792 by 99: 792 ÷ 99 : Remainder = 0
• Divide 792 by 132: 792 ÷ 132 : Remainder = 0
• Divide 792 by 198: 792 ÷ 198 : Remainder = 0
• Divide 792 by 264: 792 ÷ 264 : Remainder = 0
• Divide 792 by 396: 792 ÷ 396 : Remainder = 0
• Divide 792 by 792: 792 ÷ 792 : Remainder = 0

Hence, Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, and 792

#### 2. Steps to find factors of 792 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 792 using the division method, follow these steps:

• Step 1. Start dividing 792 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 792, which is 2. Divide 792 by 2 to obtain the quotient (396).
792 ÷ 2 = 396
• Step 3. Repeat step 1 with the obtained quotient (396).
396 ÷ 2 = 198
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

So, the prime factorization of 792 is, 792 = 2 x 2 x 2 x 3 x 3 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 792 as shown below:

So, the prime factorization of 792 is, 792 = 2 x 2 x 2 x 3 x 3 x 11.

#### 3. Find factors of 792 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 792 would be the two numbers which, when multiplied, give 792 as the result.

The following table represents the calculation of factors of 792 in pairs:

Factor Pair Pair Factorization
1 and 792 1 x 792 = 792
2 and 396 2 x 396 = 792
3 and 264 3 x 264 = 792
4 and 198 4 x 198 = 792
6 and 132 6 x 132 = 792
8 and 99 8 x 99 = 792
9 and 88 9 x 88 = 792
11 and 72 11 x 72 = 792
12 and 66 12 x 66 = 792
18 and 44 18 x 44 = 792
22 and 36 22 x 36 = 792
24 and 33 24 x 33 = 792

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 792. They are called negative pair factors.

Hence, the negative pairs of 792 would be ( -1 , -792 ) , ( -2 , -396 ) , ( -3 , -264 ) , ( -4 , -198 ) , ( -6 , -132 ) , ( -8 , -99 ) , ( -9 , -88 ) , ( -11 , -72 ) , ( -12 , -66 ) , ( -18 , -44 ) , ( -22 , -36 ) and ( -24 , -33 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 792 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 792.
• Every number is a factor of zero (0), since 792 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, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 are exact divisors of 792.
• Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. Each factor divides 792 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 are all less than or equal to 792.

• Which is the smallest prime factor of 792?

Smallest prime factor of 792 is 2.

• Is 792 a perfect square?

No 792 is not a perfect square.

• What are five multiples of 792?

First five multiples of 792 are 1584, 2376, 3168, 3960, 4752.

• What is prime factorization of 792?

Prime factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11.

• What are factors of 792?

Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.

• How do you find factors of a negative number? ( eg. -792 )?

Factors of -792 are -1, -2, -3, -4, -6, -8, -9, -11, -12, -18, -22, -24, -33, -36, -44, -66, -72, -88, -99, -132, -198, -264, -396, -792.

• Is 792 a whole number?

Yes 792 is a whole number.

• Which is greatest factor of 792?

The greatest factor of 792 is 396.

• What are the prime factors of 792?

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
Prime factors of 792 are 2, 2, 2, 3, 3, 11.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 792. Can you help her?

Prime factors of 792 are 2, 2, 2, 3, 3, 11.
Hence, the product of prime factors of 66.

Can you help Rubel to find out the product of the even factors of 792?

Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
Even factors of 792 are 2, 4, 6, 8, 12, 18, 22, 24, 36, 44, 66, 72, 88, 132, 198, 264, 396, 792.
Hence, product of even factors of 792 is; 2 x 4 x 6 x 8 x 12 x 18 x 22 x 24 x 36 x 44 x 66 x 72 x 88 x 132 x 198 x 264 x 396 x 792 = 6.277642723638681e+28.

Joy wants to calculate mean of all the factors of 792. Help him in finding the mean of 792.

Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 792 is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 18 + 22 + 24 + 33 + 36 + 44 + 66 + 72 + 88 + 99 + 132 + 198 + 264 + 396 + 792 = 2340.
Hence, the mean of factors of 792 is 2340 ÷ 24 = 97.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 792? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
Negative factors are -1, -2, -3, -4, -6, -8, -9, -11, -12, -18, -22, -24, -33, -36, -44, -66, -72, -88, -99, -132, -198, -264, -396, -792.

How many factors are there for 792?

Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.
So there are in total 24 factors.

Joey wants to write all the prime factors of 792 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 792 are 2, 2, 2, 3, 3, 11.
So in exponential form it can be written as 23 x 32 x 11.

Kevin has been asked to write 23 factor(s) of 792. Can you predict the answer?

23 factor(s) of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396.