# Factors of 393

Factors of 393 are 1, 3, 131, and 393

#### How to find factors of a number

 1.   Find factors of 393 using Division Method 2.   Find factors of 393 using Prime Factorization 3.   Find factors of 393 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 393

• Divide 393 by 1: 393 ÷ 1 : Remainder = 0
• Divide 393 by 3: 393 ÷ 3 : Remainder = 0
• Divide 393 by 131: 393 ÷ 131 : Remainder = 0
• Divide 393 by 393: 393 ÷ 393 : Remainder = 0

Hence, Factors of 393 are 1, 3, 131, and 393

#### 2. Steps to find factors of 393 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 393 using the division method, follow these steps:

• Step 1. Start dividing 393 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 393, which is 3. Divide 393 by 3 to obtain the quotient (131).
393 ÷ 3 = 131
• Step 3. Repeat step 1 with the obtained quotient (131).
131 ÷ 131 = 1

So, the prime factorization of 393 is, 393 = 3 x 131.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 393 as shown below:

So, the prime factorization of 393 is, 393 = 3 x 131.

#### 3. Find factors of 393 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 393 would be the two numbers which, when multiplied, give 393 as the result.

The following table represents the calculation of factors of 393 in pairs:

Factor Pair Pair Factorization
1 and 393 1 x 393 = 393
3 and 131 3 x 131 = 393

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 393. They are called negative pair factors.

Hence, the negative pairs of 393 would be ( -1 , -393 ) , ( -3 , -131 ) .

#### 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, 3, 131, 393 are exact divisors of 393.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 393 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 393.

• How do you find factors of a negative number? ( eg. -393 )?

Factors of -393 are -1, -3, -131, -393.

• What is the sum of all factors of 393?

The sum of all factors of 393 is 528.

• What is prime factorization of 393?

Prime factorization of 393 is 3 x 131.

• What are the pair factors of 393?

Pair factors of 393 are (1,393), (3,131).

• What are six multiples of 393?

First five multiples of 393 are 786, 1179, 1572, 1965, 2358, 2751.

• Is 393 a whole number?

Yes 393 is a whole number.

• Which is the smallest prime factor of 393?

Smallest prime factor of 393 is 3.

• What are five multiples of 393?

First five multiples of 393 are 786, 1179, 1572, 1965, 2358.

• Write all factors of 393?

Factors of 393 are 1, 3, 131, 393.

#### Examples of Factors

Joey wants to write all the prime factors of 393 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 393 are 3, 131.
So in exponential form it can be written as 3 x 131.

How many factors are there for 393?

Factors of 393 are 1, 3, 131, 393.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 393. Can you predict the answer?

3 factor(s) of 393 are 1, 3, 131.

Sammy is puzzled while calculating the prime factors of 393. Can you help him find them?

Factors of 393 are 1, 3, 131, 393.
Prime factors of 393 are 3, 131

What is prime factorization of 393?

Prime factorization of 393 is 3 x 131 = 3 x 131.

Ariel has been assigned the task to find the product of all the prime factors of 393. Can you help her?

Prime factors of 393 are 3, 131.
Hence, the product of prime factors of 393.

Can you help Rubel to find out the product of the even factors of 393?

Factors of 393 are 1, 3, 131, 393.
Even factors of 393 are 0.
Hence, product of even factors of 393 is; 0 = 0.