# Factors of 330

Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330

#### How to find factors of a number

 1.   Find factors of 330 using Division Method 2.   Find factors of 330 using Prime Factorization 3.   Find factors of 330 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 330

• Divide 330 by 1: 330 ÷ 1 : Remainder = 0
• Divide 330 by 2: 330 ÷ 2 : Remainder = 0
• Divide 330 by 3: 330 ÷ 3 : Remainder = 0
• Divide 330 by 5: 330 ÷ 5 : Remainder = 0
• Divide 330 by 6: 330 ÷ 6 : Remainder = 0
• Divide 330 by 10: 330 ÷ 10 : Remainder = 0
• Divide 330 by 11: 330 ÷ 11 : Remainder = 0
• Divide 330 by 15: 330 ÷ 15 : Remainder = 0
• Divide 330 by 22: 330 ÷ 22 : Remainder = 0
• Divide 330 by 30: 330 ÷ 30 : Remainder = 0
• Divide 330 by 33: 330 ÷ 33 : Remainder = 0
• Divide 330 by 55: 330 ÷ 55 : Remainder = 0
• Divide 330 by 66: 330 ÷ 66 : Remainder = 0
• Divide 330 by 110: 330 ÷ 110 : Remainder = 0
• Divide 330 by 165: 330 ÷ 165 : Remainder = 0
• Divide 330 by 330: 330 ÷ 330 : Remainder = 0

Hence, Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330

#### 2. Steps to find factors of 330 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 330 using the division method, follow these steps:

• Step 1. Start dividing 330 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 330, which is 2. Divide 330 by 2 to obtain the quotient (165).
330 ÷ 2 = 165
• Step 3. Repeat step 1 with the obtained quotient (165).
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 330 is, 330 = 2 x 3 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 330 as shown below:

So, the prime factorization of 330 is, 330 = 2 x 3 x 5 x 11.

#### 3. Find factors of 330 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 330 would be the two numbers which, when multiplied, give 330 as the result.

The following table represents the calculation of factors of 330 in pairs:

Factor Pair Pair Factorization
1 and 330 1 x 330 = 330
2 and 165 2 x 165 = 330
3 and 110 3 x 110 = 330
5 and 66 5 x 66 = 330
6 and 55 6 x 55 = 330
10 and 33 10 x 33 = 330
11 and 30 11 x 30 = 330
15 and 22 15 x 22 = 330

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 330. They are called negative pair factors.

Hence, the negative pairs of 330 would be ( -1 , -330 ) , ( -2 , -165 ) , ( -3 , -110 ) , ( -5 , -66 ) , ( -6 , -55 ) , ( -10 , -33 ) , ( -11 , -30 ) and ( -15 , -22 ) .

#### What are factors?

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

#### Properties of factors

• Each number is a factor of itself. Eg. 330 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, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 are exact divisors of 330.
• 1 is a factor of every number. Eg. 1 is a factor of 330.
• Every number is a factor of zero (0), since 330 x 0 = 0.

• How do you find factors of a negative number? ( eg. -330 )?

Factors of -330 are -1, -2, -3, -5, -6, -10, -11, -15, -22, -30, -33, -55, -66, -110, -165, -330.

• What is the sum of all factors of 330?

The sum of all factors of 330 is 864.

• What is prime factorization of 330?

Prime factorization of 330 is 2 x 3 x 5 x 11.

• What are the pair factors of 330?

Pair factors of 330 are (1,330), (2,165), (3,110), (5,66), (6,55), (10,33), (11,30), (15,22).

• What are six multiples of 330?

First five multiples of 330 are 660, 990, 1320, 1650, 1980, 2310.

• Is 330 a whole number?

Yes 330 is a whole number.

• Which is the smallest prime factor of 330?

Smallest prime factor of 330 is 2.

• What are five multiples of 330?

First five multiples of 330 are 660, 990, 1320, 1650, 1980.

• Write all factors of 330?

Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.

#### Examples of Factors

Joey wants to write all the prime factors of 330 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 330 are 2, 3, 5, 11.
So in exponential form it can be written as 2 x 3 x 5 x 11.

How many factors are there for 330?

Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 330. Can you predict the answer?

15 factor(s) of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165.

Sammy is puzzled while calculating the prime factors of 330. Can you help him find them?

Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
Prime factors of 330 are 2, 3, 5, 11

What is prime factorization of 330?

Prime factorization of 330 is 2 x 3 x 5 x 11 = 2 x 3 x 5 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 330. Can you help her?

Prime factors of 330 are 2, 3, 5, 11.
Hence, the product of prime factors of 330.

Can you help Rubel to find out the product of the even factors of 330?

Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
Even factors of 330 are 2, 6, 10, 22, 30, 66, 110, 330.
Hence, product of even factors of 330 is; 2 x 6 x 10 x 22 x 30 x 66 x 110 x 330 = 189747360000.