# Factors of 333

Factors of 333 are 1, 3, 9, 37, 111, and 333

#### How to find factors of a number

 1.   Find factors of 333 using Division Method 2.   Find factors of 333 using Prime Factorization 3.   Find factors of 333 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 333

• Divide 333 by 1: 333 ÷ 1 : Remainder = 0
• Divide 333 by 3: 333 ÷ 3 : Remainder = 0
• Divide 333 by 9: 333 ÷ 9 : Remainder = 0
• Divide 333 by 37: 333 ÷ 37 : Remainder = 0
• Divide 333 by 111: 333 ÷ 111 : Remainder = 0
• Divide 333 by 333: 333 ÷ 333 : Remainder = 0

Hence, Factors of 333 are 1, 3, 9, 37, 111, and 333

#### 2. Steps to find factors of 333 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 333 using the division method, follow these steps:

• Step 1. Start dividing 333 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 333, which is 3. Divide 333 by 3 to obtain the quotient (111).
333 ÷ 3 = 111
• Step 3. Repeat step 1 with the obtained quotient (111).
111 ÷ 3 = 37
37 ÷ 37 = 1

So, the prime factorization of 333 is, 333 = 3 x 3 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 333 as shown below:

So, the prime factorization of 333 is, 333 = 3 x 3 x 37.

#### 3. Find factors of 333 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 333 would be the two numbers which, when multiplied, give 333 as the result.

The following table represents the calculation of factors of 333 in pairs:

Factor Pair Pair Factorization
1 and 333 1 x 333 = 333
3 and 111 3 x 111 = 333
9 and 37 9 x 37 = 333

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 333. They are called negative pair factors.

Hence, the negative pairs of 333 would be ( -1 , -333 ) , ( -3 , -111 ) and ( -9 , -37 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 9, 37, 111, 333 are exact divisors of 333.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 333 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 333.

• Which is the smallest prime factor of 333?

Smallest prime factor of 333 is 3.

• Is 333 a perfect square?

No 333 is not a perfect square.

• What are five multiples of 333?

First five multiples of 333 are 666, 999, 1332, 1665, 1998.

• What is prime factorization of 333?

Prime factorization of 333 is 3 x 3 x 37.

• What are factors of 333?

Factors of 333 are 1, 3, 9, 37, 111, 333.

• How do you find factors of a negative number? ( eg. -333 )?

Factors of -333 are -1, -3, -9, -37, -111, -333.

• Is 333 a whole number?

Yes 333 is a whole number.

• Which is greatest factor of 333?

The greatest factor of 333 is 111.

• What are the prime factors of 333?

The factors of 333 are 1, 3, 9, 37, 111, 333.
Prime factors of 333 are 3, 3, 37.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 333. Can you help her?

Prime factors of 333 are 3, 3, 37.
Hence, the product of prime factors of 111.

Can you help Rubel to find out the product of the even factors of 333?

Factors of 333 are 1, 3, 9, 37, 111, 333.
Even factors of 333 are 0.
Hence, product of even factors of 333 is; 0 = 0.

Joy wants to calculate mean of all the factors of 333. Help him in finding the mean of 333.

Factors of 333 are 1, 3, 9, 37, 111, 333.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 333 is 1 + 3 + 9 + 37 + 111 + 333 = 494.
Hence, the mean of factors of 333 is 494 ÷ 6 = 82.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 333? Help her in writing all the factors.

Positive factors are 1, 3, 9, 37, 111, 333.
Negative factors are -1, -3, -9, -37, -111, -333.

How many factors are there for 333?

Factors of 333 are 1, 3, 9, 37, 111, 333.
So there are in total 6 factors.

Joey wants to write all the prime factors of 333 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 333 are 3, 3, 37.
So in exponential form it can be written as 32 x 37.

Kevin has been asked to write 5 factor(s) of 333. Can you predict the answer?

5 factor(s) of 333 are 1, 3, 9, 37, 111.