# What are all the factors, the prime factorization, and factor pairs of 997000?

To find the factors of 997000, divide 997000 by each number starting with 1 and working up to 997000

## 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 997000 ?

To calculate the factors of 997000 , you can use the division method.

1. Begin by dividing 997000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 997000.

3. Continue dividing 997000 by larger numbers until you find an odd number that does not divide evenly into 997000 .

4. The numbers that divide evenly into 997000 are the factors of 997000 .

Now let us find how to calculate all the factors of Nine hundred ninety-seven thousand :

997000 ÷ 1 = 997000
997000 ÷ 2 = 498500
997000 ÷ 4 = 249250
997000 ÷ 5 = 199400
997000 ÷ 8 = 124625
997000 ÷ 10 = 99700
997000 ÷ 20 = 49850
997000 ÷ 25 = 39880
997000 ÷ 40 = 24925
997000 ÷ 50 = 19940
997000 ÷ 100 = 9970
997000 ÷ 125 = 7976
997000 ÷ 200 = 4985
997000 ÷ 250 = 3988
997000 ÷ 500 = 1994
997000 ÷ 997 = 1000
997000 ÷ 1000 = 997
997000 ÷ 1994 = 500
997000 ÷ 3988 = 250
997000 ÷ 4985 = 200
997000 ÷ 7976 = 125
997000 ÷ 9970 = 100
997000 ÷ 19940 = 50
997000 ÷ 24925 = 40
997000 ÷ 39880 = 25
997000 ÷ 49850 = 20
997000 ÷ 99700 = 10
997000 ÷ 124625 = 8
997000 ÷ 199400 = 5
997000 ÷ 249250 = 4
997000 ÷ 498500 = 2
997000 ÷ 997000 = 1

As you can see, the factors of 997000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 997 , 1000 , 1994 , 3988 , 4985 , 7976 , 9970 , 19940 , 24925 , 39880 , 49850 , 99700 , 124625 , 199400 , 249250 , 498500 and 997000 .

## How many factors of 997000 are there ?

The factors of 997000 are the numbers that can evenly divide 997000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 997 , 1000 , 1994 , 3988 , 4985 , 7976 , 9970 , 19940 , 24925 , 39880 , 49850 , 99700 , 124625 , 199400 , 249250 , 498500 and 997000.

Thus, there are a total of 32 factors of 997000

## What are the factor pairs of 997000 ?

Factor Pairs of 997000 are combinations of two factors that when multiplied together equal 997000. There are many ways to calculate the factor pairs of 997000 .

One easy way is to list out the factors of 997000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 997 , 1000 , 1994 , 3988 , 4985 , 7976 , 9970 , 19940 , 24925 , 39880 , 49850 , 99700 , 124625 , 199400 , 249250 , 498500 , 997000

Then, pair up the factors:
(1,997000),(2,498500),(4,249250),(5,199400),(8,124625),(10,99700),(20,49850),(25,39880),(40,24925),(50,19940),(100,9970),(125,7976),(200,4985),(250,3988),(500,1994) and (997,1000) These are the factor pairs of 997000 .

## Prime Factorisation of 997000

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 997000 using a factor tree, we would start by writing 997000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 997000 would be 2 x 2 x 2 x 5 x 5 x 5 x 997.

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 997000 using this method, we keep dividing until it gives a non-zero remainder.

997000 ÷ 2 = 498500
498500 ÷ 2 = 249250
249250 ÷ 2 = 124625
124625 ÷ 5 = 24925
24925 ÷ 5 = 4985
4985 ÷ 5 = 997
997 ÷ 997 = 1

So the prime factors of 997000 are 2 x 2 x 2 x 5 x 5 x 5 x 997.

## Frequently Asked Questions on Factors

### What are all the factors of 997000 ?

The factors of 997000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 997 , 1000 , 1994 , 3988 , 4985 , 7976 , 9970 , 19940 , 24925 , 39880 , 49850 , 99700 , 124625 , 199400 , 249250 , 498500 and 997000.

### What is the prime factorization of 997000 ?

The prime factorization of 997000 is 2 x 2 x 2 x 5 x 5 x 5 x 997 or 23 x 53 x 9971, where 2 , 5 , 997 are the prime numbers .

### What are the prime factors of 997000 ?

The prime factors of 997000 are 2 , 5 , 997 .

### Is 997000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
997000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 997 , 1000 , 1994 , 3988 , 4985 , 7976 , 9970 , 19940 , 24925 , 39880 , 49850 , 99700 , 124625 , 199400 , 249250 , 498500 and 997000.