# Factors of 323

Factors of 323 are 1, 17, 19, and 323

#### How to find factors of a number

 1.   Find factors of 323 using Division Method 2.   Find factors of 323 using Prime Factorization 3.   Find factors of 323 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 323

• Divide 323 by 1: 323 ÷ 1 : Remainder = 0
• Divide 323 by 17: 323 ÷ 17 : Remainder = 0
• Divide 323 by 19: 323 ÷ 19 : Remainder = 0
• Divide 323 by 323: 323 ÷ 323 : Remainder = 0

Hence, Factors of 323 are 1, 17, 19, and 323

#### 2. Steps to find factors of 323 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 323 using the division method, follow these steps:

• Step 1. Start dividing 323 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 323, which is 17. Divide 323 by 17 to obtain the quotient (19).
323 ÷ 17 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
19 ÷ 19 = 1

So, the prime factorization of 323 is, 323 = 17 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 323 as shown below:

So, the prime factorization of 323 is, 323 = 17 x 19.

#### 3. Find factors of 323 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 323 would be the two numbers which, when multiplied, give 323 as the result.

The following table represents the calculation of factors of 323 in pairs:

Factor Pair Pair Factorization
1 and 323 1 x 323 = 323
17 and 19 17 x 19 = 323

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 323. They are called negative pair factors.

Hence, the negative pairs of 323 would be ( -1 , -323 ) , ( -17 , -19 ) .

#### 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 323 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, 17, 19, 323 are exact divisors of 323.
• Factors of 323 are 1, 17, 19, 323. Each factor divides 323 without leaving a remainder.

• What is prime factorization of 323?

Prime factorization of 323 is 17 x 19.

• How do you find factors of a negative number? ( eg. -323 )?

Factors of -323 are -1, -17, -19, -323.

• What are the prime factors of 323?

The factors of 323 are 1, 17, 19, 323.
Prime factors of 323 are 17, 19.

• What are pair factors of 323?

The pair factors of 323 are (1,323), (17,19).

• What is the greatest prime factors of 323?

The greatest prime factor of 323 is 19.

• What are six multiples of 323?

First five multiples of 323 are 646, 969, 1292, 1615, 1938, 2261.

• What are factors of 323?

Factors of 323 are 1, 17, 19, 323.

• Which is the smallest prime factor of 323?

Smallest prime factor of 323 is 17.

• Is 323 a whole number?

Yes 323 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 323. Can you predict the answer?

3 factor(s) of 323 are 1, 17, 19.

Sammy is puzzled while calculating the prime factors of 323. Can you help him find them?

Factors of 323 are 1, 17, 19, 323.
Prime factors of 323 are 17, 19

What is prime factorization of 323?

Prime factorization of 323 is 17 x 19 = 17 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 323. Can you help her?

Prime factors of 323 are 17, 19.
Hence, the product of prime factors of 323.

Can you help Rubel to find out the product of the even factors of 323?

Factors of 323 are 1, 17, 19, 323.
Even factors of 323 are 0.
Hence, product of even factors of 323 is; 0 = 0.

Joy wants to calculate mean of all the factors of 323. Help him in finding the mean of 323.

Factors of 323 are 1, 17, 19, 323.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 323 is 1 + 17 + 19 + 323 = 360.
Hence, the mean of factors of 323 is 360 ÷ 4 = 90.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 323? Help her in writing all the factors.

Positive factors are 1, 17, 19, 323.
Negative factors are -1, -17, -19, -323.