# What are all the factors, the prime factorization, and factor pairs of 977000?

To find the factors of 977000, divide 977000 by each number starting with 1 and working up to 977000

## 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 977000 ?

To calculate the factors of 977000 , you can use the division method.

1. Begin by dividing 977000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 977000.

3. Continue dividing 977000 by larger numbers until you find an odd number that does not divide evenly into 977000 .

4. The numbers that divide evenly into 977000 are the factors of 977000 .

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

977000 ÷ 1 = 977000
977000 ÷ 2 = 488500
977000 ÷ 4 = 244250
977000 ÷ 5 = 195400
977000 ÷ 8 = 122125
977000 ÷ 10 = 97700
977000 ÷ 20 = 48850
977000 ÷ 25 = 39080
977000 ÷ 40 = 24425
977000 ÷ 50 = 19540
977000 ÷ 100 = 9770
977000 ÷ 125 = 7816
977000 ÷ 200 = 4885
977000 ÷ 250 = 3908
977000 ÷ 500 = 1954
977000 ÷ 977 = 1000
977000 ÷ 1000 = 977
977000 ÷ 1954 = 500
977000 ÷ 3908 = 250
977000 ÷ 4885 = 200
977000 ÷ 7816 = 125
977000 ÷ 9770 = 100
977000 ÷ 19540 = 50
977000 ÷ 24425 = 40
977000 ÷ 39080 = 25
977000 ÷ 48850 = 20
977000 ÷ 97700 = 10
977000 ÷ 122125 = 8
977000 ÷ 195400 = 5
977000 ÷ 244250 = 4
977000 ÷ 488500 = 2
977000 ÷ 977000 = 1

As you can see, the factors of 977000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 977 , 1000 , 1954 , 3908 , 4885 , 7816 , 9770 , 19540 , 24425 , 39080 , 48850 , 97700 , 122125 , 195400 , 244250 , 488500 and 977000 .

## How many factors of 977000 are there ?

The factors of 977000 are the numbers that can evenly divide 977000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 977 , 1000 , 1954 , 3908 , 4885 , 7816 , 9770 , 19540 , 24425 , 39080 , 48850 , 97700 , 122125 , 195400 , 244250 , 488500 and 977000.

Thus, there are a total of 32 factors of 977000

## What are the factor pairs of 977000 ?

Factor Pairs of 977000 are combinations of two factors that when multiplied together equal 977000. There are many ways to calculate the factor pairs of 977000 .

One easy way is to list out the factors of 977000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 977 , 1000 , 1954 , 3908 , 4885 , 7816 , 9770 , 19540 , 24425 , 39080 , 48850 , 97700 , 122125 , 195400 , 244250 , 488500 , 977000

Then, pair up the factors:
(1,977000),(2,488500),(4,244250),(5,195400),(8,122125),(10,97700),(20,48850),(25,39080),(40,24425),(50,19540),(100,9770),(125,7816),(200,4885),(250,3908),(500,1954) and (977,1000) These are the factor pairs of 977000 .

## Prime Factorisation of 977000

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 977000 using a factor tree, we would start by writing 977000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 977000 would be 2 x 2 x 2 x 5 x 5 x 5 x 977.

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 977000 using this method, we keep dividing until it gives a non-zero remainder.

977000 ÷ 2 = 488500
488500 ÷ 2 = 244250
244250 ÷ 2 = 122125
122125 ÷ 5 = 24425
24425 ÷ 5 = 4885
4885 ÷ 5 = 977
977 ÷ 977 = 1

So the prime factors of 977000 are 2 x 2 x 2 x 5 x 5 x 5 x 977.

## Frequently Asked Questions on Factors

### What are all the factors of 977000 ?

The factors of 977000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 977 , 1000 , 1954 , 3908 , 4885 , 7816 , 9770 , 19540 , 24425 , 39080 , 48850 , 97700 , 122125 , 195400 , 244250 , 488500 and 977000.

### What is the prime factorization of 977000 ?

The prime factorization of 977000 is 2 x 2 x 2 x 5 x 5 x 5 x 977 or 23 x 53 x 9771, where 2 , 5 , 977 are the prime numbers .

### What are the prime factors of 977000 ?

The prime factors of 977000 are 2 , 5 , 977 .

### Is 977000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
977000 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 , 977 , 1000 , 1954 , 3908 , 4885 , 7816 , 9770 , 19540 , 24425 , 39080 , 48850 , 97700 , 122125 , 195400 , 244250 , 488500 and 977000.