# Factors of 327

Factors of 327 are 1, 3, 109, and 327

#### How to find factors of a number

 1.   Find factors of 327 using Division Method 2.   Find factors of 327 using Prime Factorization 3.   Find factors of 327 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 327

• Divide 327 by 1: 327 ÷ 1 : Remainder = 0
• Divide 327 by 3: 327 ÷ 3 : Remainder = 0
• Divide 327 by 109: 327 ÷ 109 : Remainder = 0
• Divide 327 by 327: 327 ÷ 327 : Remainder = 0

Hence, Factors of 327 are 1, 3, 109, and 327

#### 2. Steps to find factors of 327 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 327 using the division method, follow these steps:

• Step 1. Start dividing 327 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 327, which is 3. Divide 327 by 3 to obtain the quotient (109).
327 ÷ 3 = 109
• Step 3. Repeat step 1 with the obtained quotient (109).
109 ÷ 109 = 1

So, the prime factorization of 327 is, 327 = 3 x 109.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 327 as shown below:

So, the prime factorization of 327 is, 327 = 3 x 109.

#### 3. Find factors of 327 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 327 would be the two numbers which, when multiplied, give 327 as the result.

The following table represents the calculation of factors of 327 in pairs:

Factor Pair Pair Factorization
1 and 327 1 x 327 = 327
3 and 109 3 x 109 = 327

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 327. They are called negative pair factors.

Hence, the negative pairs of 327 would be ( -1 , -327 ) , ( -3 , -109 ) .

#### 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

• Every number is a factor of zero (0), since 327 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, 3, 109, 327 are exact divisors of 327.
• Factors of 327 are 1, 3, 109, 327. Each factor divides 327 without leaving a remainder.

• What are the prime factors of 327?

The factors of 327 are 1, 3, 109, 327.
Prime factors of 327 are 3, 109.

• What two numbers make 327?

Two numbers that make 327 are 3 and 109.

• What is the greatest prime factors of 327?

The greatest prime factor of 327 is 109.

• What are factors of 327?

Factors of 327 are 1, 3, 109, 327.

• How do you find factors of a negative number? ( eg. -327 )?

Factors of -327 are -1, -3, -109, -327.

• What are five multiples of 327?

First five multiples of 327 are 654, 981, 1308, 1635, 1962.

• Write some multiples of 327?

First five multiples of 327 are 654, 981, 1308, 1635.

• Is 327 a perfect square?

No 327 is not a perfect square.

• What two numbers make 327?

Two numbers that make 327 are 3 and 109.

#### Examples of Factors

What is prime factorization of 327?

Prime factorization of 327 is 3 x 109 = 3 x 109.

Sammy is puzzled while calculating the prime factors of 327. Can you help him find them?

Factors of 327 are 1, 3, 109, 327.
Prime factors of 327 are 3, 109

Kevin has been asked to write 3 factor(s) of 327. Can you predict the answer?

3 factor(s) of 327 are 1, 3, 109.

Joey wants to write all the prime factors of 327 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 327 are 3, 109.
So in exponential form it can be written as 3 x 109.

How many factors are there for 327?

Factors of 327 are 1, 3, 109, 327.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 327? Help her in writing all the factors.

Positive factors are 1, 3, 109, 327.
Negative factors are -1, -3, -109, -327.

Can you help Rubel to find out the product of the even factors of 327?

Factors of 327 are 1, 3, 109, 327.
Even factors of 327 are 0.
Hence, product of even factors of 327 is; 0 = 0.