# What are all the factors, the prime factorization, and factor pairs of 704?

To find the factors of 704, divide 704 by each number starting with 1 and working up to 704

## 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 704 ?

To calculate the factors of 704 , you can use the division method.

1. Begin by dividing 704 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 704.

3. Continue dividing 704 by larger numbers until you find an odd number that does not divide evenly into 704 .

4. The numbers that divide evenly into 704 are the factors of 704 .

Now let us find how to calculate all the factors of Seven hundred four :

704 ÷ 1 = 704
704 ÷ 2 = 352
704 ÷ 4 = 176
704 ÷ 8 = 88
704 ÷ 11 = 64
704 ÷ 16 = 44
704 ÷ 22 = 32
704 ÷ 32 = 22
704 ÷ 44 = 16
704 ÷ 64 = 11
704 ÷ 88 = 8
704 ÷ 176 = 4
704 ÷ 352 = 2
704 ÷ 704 = 1

As you can see, the factors of 704 are 1 , 2 , 4 , 8 , 11 , 16 , 22 , 32 , 44 , 64 , 88 , 176 , 352 and 704 .

## How many factors of 704 are there ?

The factors of 704 are the numbers that can evenly divide 704 . These numbers are 1 , 2 , 4 , 8 , 11 , 16 , 22 , 32 , 44 , 64 , 88 , 176 , 352 and 704.

Thus, there are a total of 14 factors of 704

## What are the factor pairs of 704 ?

Factor Pairs of 704 are combinations of two factors that when multiplied together equal 704. There are many ways to calculate the factor pairs of 704 .

One easy way is to list out the factors of 704 :
1 , 2 , 4 , 8 , 11 , 16 , 22 , 32 , 44 , 64 , 88 , 176 , 352 , 704

Then, pair up the factors:
(1,704),(2,352),(4,176),(8,88),(11,64),(16,44) and (22,32) These are the factor pairs of 704 .

## Prime Factorisation of 704

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 704 using a factor tree, we would start by writing 704 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 704 would be 2 x 2 x 2 x 2 x 2 x 2 x 11.

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

704 ÷ 2 = 352
352 ÷ 2 = 176
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1

So the prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11.

## Frequently Asked Questions on Factors

### What are all the factors of 704 ?

The factors of 704 are 1 , 2 , 4 , 8 , 11 , 16 , 22 , 32 , 44 , 64 , 88 , 176 , 352 and 704.

### What is the prime factorization of 704 ?

The prime factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11 or 26 x 111, where 2 , 11 are the prime numbers .

### What are the prime factors of 704 ?

The prime factors of 704 are 2 , 11 .

### Is 704 a prime number ?

A prime number is a number that has only two factors 1 and itself.
704 it is not a prime number because it has the factors 1 , 2 , 4 , 8 , 11 , 16 , 22 , 32 , 44 , 64 , 88 , 176 , 352 and 704.