# Factors of 322

Factors of 322 are 1, 2, 7, 14, 23, 46, 161, and 322

#### How to find factors of a number

 1.   Find factors of 322 using Division Method 2.   Find factors of 322 using Prime Factorization 3.   Find factors of 322 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 322

• Divide 322 by 1: 322 ÷ 1 : Remainder = 0
• Divide 322 by 2: 322 ÷ 2 : Remainder = 0
• Divide 322 by 7: 322 ÷ 7 : Remainder = 0
• Divide 322 by 14: 322 ÷ 14 : Remainder = 0
• Divide 322 by 23: 322 ÷ 23 : Remainder = 0
• Divide 322 by 46: 322 ÷ 46 : Remainder = 0
• Divide 322 by 161: 322 ÷ 161 : Remainder = 0
• Divide 322 by 322: 322 ÷ 322 : Remainder = 0

Hence, Factors of 322 are 1, 2, 7, 14, 23, 46, 161, and 322

#### 2. Steps to find factors of 322 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 322 using the division method, follow these steps:

• Step 1. Start dividing 322 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 322, which is 2. Divide 322 by 2 to obtain the quotient (161).
322 ÷ 2 = 161
• Step 3. Repeat step 1 with the obtained quotient (161).
161 ÷ 7 = 23
23 ÷ 23 = 1

So, the prime factorization of 322 is, 322 = 2 x 7 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 322 as shown below:

So, the prime factorization of 322 is, 322 = 2 x 7 x 23.

#### 3. Find factors of 322 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 322 would be the two numbers which, when multiplied, give 322 as the result.

The following table represents the calculation of factors of 322 in pairs:

Factor Pair Pair Factorization
1 and 322 1 x 322 = 322
2 and 161 2 x 161 = 322
7 and 46 7 x 46 = 322
14 and 23 14 x 23 = 322

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 322. They are called negative pair factors.

Hence, the negative pairs of 322 would be ( -1 , -322 ) , ( -2 , -161 ) , ( -7 , -46 ) and ( -14 , -23 ) .

#### 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. 322 is a factor of itself.
• 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, 7, 14, 23, 46, 161, 322 are exact divisors of 322.
• 1 is a factor of every number. Eg. 1 is a factor of 322.
• Every number is a factor of zero (0), since 322 x 0 = 0.

• Which is the smallest prime factor of 322?

The smallest prime factor of 322 is 2.

• Is 322 a whole number?

Yes 322 is a whole number.

• What are the prime factors of 322?

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322.
Prime factors of 322 are 2, 7, 23.

• What two numbers make 322?

Two numbers that make 322 are 2 and 161.

• What are multiples of 322?

First five multiples of 322 are 644, 966, 1288, 1610.

• What is the sum of all factors of 322?

The sum of all factors of 322 is 576.

• What are five multiples of 322?

First five multiples of 322 are 644, 966, 1288, 1610, 1932.

• Is 322 a perfect square?

No 322 is not a perfect square.

• What is the greatest prime factors of 322?

The greatest prime factor of 322 is 23.

#### Examples of Factors

How many factors are there for 322?

Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 322. Can you predict the answer?

7 factor(s) of 322 are 1, 2, 7, 14, 23, 46, 161.

Sammy is puzzled while calculating the prime factors of 322. Can you help him find them?

Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322.
Prime factors of 322 are 2, 7, 23

What is prime factorization of 322?

Prime factorization of 322 is 2 x 7 x 23 = 2 x 7 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 322. Can you help her?

Prime factors of 322 are 2, 7, 23.
Hence, the product of prime factors of 322.

Can you help Rubel to find out the product of the even factors of 322?

Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322.
Even factors of 322 are 2, 14, 46, 322.
Hence, product of even factors of 322 is; 2 x 14 x 46 x 322 = 414736.

Joy wants to calculate mean of all the factors of 322. Help him in finding the mean of 322.

Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 322 is 1 + 2 + 7 + 14 + 23 + 46 + 161 + 322 = 576.
Hence, the mean of factors of 322 is 576 ÷ 8 = 72.00.