# What are all the factors, the prime factorization, and factor pairs of 1007?

To find the factors of 1007, divide 1007 by each number starting with 1 and working up to 1007

## 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 1007 ?

To calculate the factors of 1007 , you can use the division method.

1. Begin by dividing 1007 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 1007.

3. Continue dividing 1007 by larger numbers until you find an odd number that does not divide evenly into 1007 .

4. The numbers that divide evenly into 1007 are the factors of 1007 .

Now let us find how to calculate all the factors of One thousand seven :

1007 ÷ 1 = 1007
1007 ÷ 19 = 53
1007 ÷ 53 = 19
1007 ÷ 1007 = 1

As you can see, the factors of 1007 are 1 , 19 , 53 and 1007 .

## How many factors of 1007 are there ?

The factors of 1007 are the numbers that can evenly divide 1007 . These numbers are 1 , 19 , 53 and 1007.

Thus, there are a total of 4 factors of 1007

## What are the factor pairs of 1007 ?

Factor Pairs of 1007 are combinations of two factors that when multiplied together equal 1007. There are many ways to calculate the factor pairs of 1007 .

One easy way is to list out the factors of 1007 :
1 , 19 , 53 , 1007

Then, pair up the factors:
(1,1007) and (19,53) These are the factor pairs of 1007 .

## Prime Factorisation of 1007

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 1007 using a factor tree, we would start by writing 1007 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 1007 would be 19 x 53.

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 1007 using this method, we keep dividing until it gives a non-zero remainder.

1007 ÷ 19 = 53
53 ÷ 53 = 1

So the prime factors of 1007 are 19 x 53.

## Frequently Asked Questions on Factors

### What are all the factors of 1007 ?

The factors of 1007 are 1 , 19 , 53 and 1007.

### What is the prime factorization of 1007 ?

The prime factorization of 1007 is 19 x 53 or 191 x 531, where 19 , 53 are the prime numbers .

### What are the prime factors of 1007 ?

The prime factors of 1007 are 19 , 53 .

### Is 1007 a prime number ?

A prime number is a number that has only two factors 1 and itself.
1007 it is not a prime number because it has the factors 1 , 19 , 53 and 1007.