# What are all the factors, the prime factorization, and factor pairs of 333?

To find the factors of 333, divide 333 by each number starting with 1 and working up to 333

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 333 ?

To calculate the factors of 333 , you can use the division method.

1. Begin by dividing 333 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 333.

3. Continue dividing 333 by larger numbers until you find an odd number that does not divide evenly into 333 .

4. The numbers that divide evenly into 333 are the factors of 333 .

Now let us find how to calculate all the factors of Three hundred thirty-three :

333 ÷ 1 = 333
333 ÷ 3 = 111
333 ÷ 9 = 37
333 ÷ 37 = 9
333 ÷ 111 = 3
333 ÷ 333 = 1

As you can see, the factors of 333 are 1 , 3 , 9 , 37 , 111 and 333 .

## How many factors of 333 are there ?

The factors of 333 are the numbers that can evenly divide 333 . These numbers are 1 , 3 , 9 , 37 , 111 and 333.

Thus, there are a total of 6 factors of 333

## What are the factor pairs of 333 ?

Factor Pairs of 333 are combinations of two factors that when multiplied together equal 333. There are many ways to calculate the factor pairs of 333 .

One easy way is to list out the factors of 333 :
1 , 3 , 9 , 37 , 111 , 333

Then, pair up the factors:
(1,333),(3,111) and (9,37) These are the factor pairs of 333 .

## Prime Factorisation of 333

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 333 using a factor tree, we would start by writing 333 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 333 would be 3 x 3 x 37.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 333 using this method, we keep dividing until it gives a non-zero remainder.

333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1

So the prime factors of 333 are 3 x 3 x 37.

## Frequently Asked Questions on Factors

### What are all the factors of 333 ?

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

### What is the prime factorization of 333 ?

The prime factorization of 333 is 3 x 3 x 37 or 32 x 371, where 3 , 37 are the prime numbers .

### What are the prime factors of 333 ?

The prime factors of 333 are 3 , 37 .

### Is 333 a prime number ?

A prime number is a number that has only two factors 1 and itself.
333 it is not a prime number because it has the factors 1 , 3 , 9 , 37 , 111 and 333.