# What are all the factors, the prime factorization, and factor pairs of 918?

To find the factors of 918, divide 918 by each number starting with 1 and working up to 918

## 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 918 ?

To calculate the factors of 918 , you can use the division method.

1. Begin by dividing 918 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 918.

3. Continue dividing 918 by larger numbers until you find an odd number that does not divide evenly into 918 .

4. The numbers that divide evenly into 918 are the factors of 918 .

Now let us find how to calculate all the factors of Nine hundred eighteen :

918 ÷ 1 = 918
918 ÷ 2 = 459
918 ÷ 3 = 306
918 ÷ 6 = 153
918 ÷ 9 = 102
918 ÷ 17 = 54
918 ÷ 18 = 51
918 ÷ 27 = 34
918 ÷ 34 = 27
918 ÷ 51 = 18
918 ÷ 54 = 17
918 ÷ 102 = 9
918 ÷ 153 = 6
918 ÷ 306 = 3
918 ÷ 459 = 2
918 ÷ 918 = 1

As you can see, the factors of 918 are 1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 and 918 .

## How many factors of 918 are there ?

The factors of 918 are the numbers that can evenly divide 918 . These numbers are 1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 and 918.

Thus, there are a total of 16 factors of 918

## What are the factor pairs of 918 ?

Factor Pairs of 918 are combinations of two factors that when multiplied together equal 918. There are many ways to calculate the factor pairs of 918 .

One easy way is to list out the factors of 918 :
1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 , 918

Then, pair up the factors:
(1,918),(2,459),(3,306),(6,153),(9,102),(17,54),(18,51) and (27,34) These are the factor pairs of 918 .

## Prime Factorisation of 918

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 918 using a factor tree, we would start by writing 918 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 918 would be 2 x 3 x 3 x 3 x 17.

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

918 ÷ 2 = 459
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1

So the prime factors of 918 are 2 x 3 x 3 x 3 x 17.

## Frequently Asked Questions on Factors

### What are all the factors of 918 ?

The factors of 918 are 1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 and 918.

### What is the prime factorization of 918 ?

The prime factorization of 918 is 2 x 3 x 3 x 3 x 17 or 21 x 33 x 171, where 2 , 3 , 17 are the prime numbers .

### What are the prime factors of 918 ?

The prime factors of 918 are 2 , 3 , 17 .

### Is 918 a prime number ?

A prime number is a number that has only two factors 1 and itself.
918 it is not a prime number because it has the factors 1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 and 918.