# What are all the factors, the prime factorization, and factor pairs of 237?

To find the factors of 237, divide 237 by each number starting with 1 and working up to 237

## 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 237 ?

To calculate the factors of 237 , you can use the division method.

1. Begin by dividing 237 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 237.

3. Continue dividing 237 by larger numbers until you find an odd number that does not divide evenly into 237 .

4. The numbers that divide evenly into 237 are the factors of 237 .

Now let us find how to calculate all the factors of Two hundred thirty-seven :

237 ÷ 1 = 237
237 ÷ 3 = 79
237 ÷ 79 = 3
237 ÷ 237 = 1

As you can see, the factors of 237 are 1 , 3 , 79 and 237 .

## How many factors of 237 are there ?

The factors of 237 are the numbers that can evenly divide 237 . These numbers are 1 , 3 , 79 and 237.

Thus, there are a total of 4 factors of 237

## What are the factor pairs of 237 ?

Factor Pairs of 237 are combinations of two factors that when multiplied together equal 237. There are many ways to calculate the factor pairs of 237 .

One easy way is to list out the factors of 237 :
1 , 3 , 79 , 237

Then, pair up the factors:
(1,237) and (3,79) These are the factor pairs of 237 .

## Prime Factorisation of 237

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 237 using a factor tree, we would start by writing 237 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 237 would be 3 x 79.

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 237 using this method, we keep dividing until it gives a non-zero remainder.

237 ÷ 3 = 79
79 ÷ 79 = 1

So the prime factors of 237 are 3 x 79.

## Frequently Asked Questions on Factors

### What are all the factors of 237 ?

The factors of 237 are 1 , 3 , 79 and 237.

### What is the prime factorization of 237 ?

The prime factorization of 237 is 3 x 79 or 31 x 791, where 3 , 79 are the prime numbers .

### What are the prime factors of 237 ?

The prime factors of 237 are 3 , 79 .

### Is 237 a prime number ?

A prime number is a number that has only two factors 1 and itself.
237 it is not a prime number because it has the factors 1 , 3 , 79 and 237.