# Factors of 329

Factors of 329 are 1, 7, 47, and 329

#### How to find factors of a number

 1.   Find factors of 329 using Division Method 2.   Find factors of 329 using Prime Factorization 3.   Find factors of 329 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 329

• Divide 329 by 1: 329 ÷ 1 : Remainder = 0
• Divide 329 by 7: 329 ÷ 7 : Remainder = 0
• Divide 329 by 47: 329 ÷ 47 : Remainder = 0
• Divide 329 by 329: 329 ÷ 329 : Remainder = 0

Hence, Factors of 329 are 1, 7, 47, and 329

#### 2. Steps to find factors of 329 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 329 using the division method, follow these steps:

• Step 1. Start dividing 329 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 329, which is 7. Divide 329 by 7 to obtain the quotient (47).
329 ÷ 7 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 329 is, 329 = 7 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 329 as shown below:

So, the prime factorization of 329 is, 329 = 7 x 47.

#### 3. Find factors of 329 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 329 would be the two numbers which, when multiplied, give 329 as the result.

The following table represents the calculation of factors of 329 in pairs:

Factor Pair Pair Factorization
1 and 329 1 x 329 = 329
7 and 47 7 x 47 = 329

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 329. They are called negative pair factors.

Hence, the negative pairs of 329 would be ( -1 , -329 ) , ( -7 , -47 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 7, 47, 329 are exact divisors of 329.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 329 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 329.

• What are the pair factors of 329?

Pair factors of 329 are (1,329), (7,47).

• What are five multiples of 329?

First five multiples of 329 are 658, 987, 1316, 1645, 1974.

• What two numbers make 329?

Two numbers that make 329 are 7 and 47.

• What is the sum of all factors of 329?

The sum of all factors of 329 is 384.

• What are factors of -329?

Factors of -329 are -1, -7, -47, -329.

• What are factors of 329?

Factors of 329 are 1, 7, 47, 329.

• Is 329 a perfect square?

No 329 is not a perfect square.

• Which is the smallest prime factor of 329?

Smallest prime factor of 329 is 7.

• Which is greatest factor of 329?

The greatest factor of 329 is 47.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 329?

Factors of 329 are 1, 7, 47, 329.
Odd factors of 329 are 1, 7, 47, 329.
Hence product of odd factors of 329 is; 1 x 7 x 47 x 329 = 108241.

Joey wants to write all the prime factors of 329 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 329 are 7, 47.
So in exponential form it can be written as 7 x 47.

How many factors are there for 329?

Factors of 329 are 1, 7, 47, 329.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 329. Can you predict the answer?

3 factor(s) of 329 are 1, 7, 47.

Sammy is puzzled while calculating the prime factors of 329. Can you help him find them?

Factors of 329 are 1, 7, 47, 329.
Prime factors of 329 are 7, 47

What is prime factorization of 329?

Prime factorization of 329 is 7 x 47 = 7 x 47.

Can you help Rubel to find out the product of the even factors of 329?

Factors of 329 are 1, 7, 47, 329.
Even factors of 329 are 0.
Hence, product of even factors of 329 is; 0 = 0.