# Factors of 788

Factors of 788 are 1, 2, 4, 197, 394, and 788

#### How to find factors of a number

 1.   Find factors of 788 using Division Method 2.   Find factors of 788 using Prime Factorization 3.   Find factors of 788 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 788

• Divide 788 by 1: 788 ÷ 1 : Remainder = 0
• Divide 788 by 2: 788 ÷ 2 : Remainder = 0
• Divide 788 by 4: 788 ÷ 4 : Remainder = 0
• Divide 788 by 197: 788 ÷ 197 : Remainder = 0
• Divide 788 by 394: 788 ÷ 394 : Remainder = 0
• Divide 788 by 788: 788 ÷ 788 : Remainder = 0

Hence, Factors of 788 are 1, 2, 4, 197, 394, and 788

#### 2. Steps to find factors of 788 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 788 using the division method, follow these steps:

• Step 1. Start dividing 788 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 788, which is 2. Divide 788 by 2 to obtain the quotient (394).
788 ÷ 2 = 394
• Step 3. Repeat step 1 with the obtained quotient (394).
394 ÷ 2 = 197
197 ÷ 197 = 1

So, the prime factorization of 788 is, 788 = 2 x 2 x 197.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 788 as shown below:

So, the prime factorization of 788 is, 788 = 2 x 2 x 197.

#### 3. Find factors of 788 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 788 would be the two numbers which, when multiplied, give 788 as the result.

The following table represents the calculation of factors of 788 in pairs:

Factor Pair Pair Factorization
1 and 788 1 x 788 = 788
2 and 394 2 x 394 = 788
4 and 197 4 x 197 = 788

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 788. They are called negative pair factors.

Hence, the negative pairs of 788 would be ( -1 , -788 ) , ( -2 , -394 ) and ( -4 , -197 ) .

#### 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

• Each number is a factor of itself. Eg. 788 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 788.
• Every number is a factor of zero (0), since 788 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, 4, 197, 394, 788 are exact divisors of 788.
• Factors of 788 are 1, 2, 4, 197, 394, 788. Each factor divides 788 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 197, 394, 788 are all less than or equal to 788.

• What are the pair factors of 788?

Pair factors of 788 are (1,788), (2,394), (4,197).

• What are five multiples of 788?

First five multiples of 788 are 1576, 2364, 3152, 3940, 4728.

• What two numbers make 788?

Two numbers that make 788 are 2 and 394.

• What is the sum of all factors of 788?

The sum of all factors of 788 is 1386.

• What are factors of -788?

Factors of -788 are -1, -2, -4, -197, -394, -788.

• What are factors of 788?

Factors of 788 are 1, 2, 4, 197, 394, 788.

• Is 788 a perfect square?

No 788 is not a perfect square.

• Which is the smallest prime factor of 788?

Smallest prime factor of 788 is 2.

• Which is greatest factor of 788?

The greatest factor of 788 is 394.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 788?

Factors of 788 are 1, 2, 4, 197, 394, 788.
Odd factors of 788 are 1, 197.
Hence product of odd factors of 788 is; 1 x 197 = 197.

Joey wants to write all the prime factors of 788 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 788 are 2, 2, 197.
So in exponential form it can be written as 22 x 197.

How many factors are there for 788?

Factors of 788 are 1, 2, 4, 197, 394, 788.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 788. Can you predict the answer?

5 factor(s) of 788 are 1, 2, 4, 197, 394.

Sammy is puzzled while calculating the prime factors of 788. Can you help him find them?

Factors of 788 are 1, 2, 4, 197, 394, 788.
Prime factors of 788 are 2, 2, 197

What is prime factorization of 788?

Prime factorization of 788 is 2 x 2 x 197 = 22 x 197.

Can you help Rubel to find out the product of the even factors of 788?

Factors of 788 are 1, 2, 4, 197, 394, 788.
Even factors of 788 are 2, 4, 394, 788.
Hence, product of even factors of 788 is; 2 x 4 x 394 x 788 = 2483776.