# What are all the factors, the prime factorization, and factor pairs of 9800?

To find the factors of 9800, divide 9800 by each number starting with 1 and working up to 9800

## 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 9800 ?

To calculate the factors of 9800 , you can use the division method.

1. Begin by dividing 9800 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 9800.

3. Continue dividing 9800 by larger numbers until you find an odd number that does not divide evenly into 9800 .

4. The numbers that divide evenly into 9800 are the factors of 9800 .

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

9800 ÷ 1 = 9800
9800 ÷ 2 = 4900
9800 ÷ 4 = 2450
9800 ÷ 5 = 1960
9800 ÷ 7 = 1400
9800 ÷ 8 = 1225
9800 ÷ 10 = 980
9800 ÷ 14 = 700
9800 ÷ 20 = 490
9800 ÷ 25 = 392
9800 ÷ 28 = 350
9800 ÷ 35 = 280
9800 ÷ 40 = 245
9800 ÷ 49 = 200
9800 ÷ 50 = 196
9800 ÷ 56 = 175
9800 ÷ 70 = 140
9800 ÷ 98 = 100
9800 ÷ 100 = 98
9800 ÷ 140 = 70
9800 ÷ 175 = 56
9800 ÷ 196 = 50
9800 ÷ 200 = 49
9800 ÷ 245 = 40
9800 ÷ 280 = 35
9800 ÷ 350 = 28
9800 ÷ 392 = 25
9800 ÷ 490 = 20
9800 ÷ 700 = 14
9800 ÷ 980 = 10
9800 ÷ 1225 = 8
9800 ÷ 1400 = 7
9800 ÷ 1960 = 5
9800 ÷ 2450 = 4
9800 ÷ 4900 = 2
9800 ÷ 9800 = 1

As you can see, the factors of 9800 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 49 , 50 , 56 , 70 , 98 , 100 , 140 , 175 , 196 , 200 , 245 , 280 , 350 , 392 , 490 , 700 , 980 , 1225 , 1400 , 1960 , 2450 , 4900 and 9800 .

## How many factors of 9800 are there ?

The factors of 9800 are the numbers that can evenly divide 9800 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 49 , 50 , 56 , 70 , 98 , 100 , 140 , 175 , 196 , 200 , 245 , 280 , 350 , 392 , 490 , 700 , 980 , 1225 , 1400 , 1960 , 2450 , 4900 and 9800.

Thus, there are a total of 36 factors of 9800

## What are the factor pairs of 9800 ?

Factor Pairs of 9800 are combinations of two factors that when multiplied together equal 9800. There are many ways to calculate the factor pairs of 9800 .

One easy way is to list out the factors of 9800 :
1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 49 , 50 , 56 , 70 , 98 , 100 , 140 , 175 , 196 , 200 , 245 , 280 , 350 , 392 , 490 , 700 , 980 , 1225 , 1400 , 1960 , 2450 , 4900 , 9800

Then, pair up the factors:
(1,9800),(2,4900),(4,2450),(5,1960),(7,1400),(8,1225),(10,980),(14,700),(20,490),(25,392),(28,350),(35,280),(40,245),(49,200),(50,196),(56,175),(70,140) and (98,100) These are the factor pairs of 9800 .

## Prime Factorisation of 9800

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 9800 using a factor tree, we would start by writing 9800 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 9800 would be 2 x 2 x 2 x 5 x 5 x 7 x 7.

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 9800 using this method, we keep dividing until it gives a non-zero remainder.

9800 ÷ 2 = 4900
4900 ÷ 2 = 2450
2450 ÷ 2 = 1225
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So the prime factors of 9800 are 2 x 2 x 2 x 5 x 5 x 7 x 7.

## Frequently Asked Questions on Factors

### What are all the factors of 9800 ?

The factors of 9800 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 49 , 50 , 56 , 70 , 98 , 100 , 140 , 175 , 196 , 200 , 245 , 280 , 350 , 392 , 490 , 700 , 980 , 1225 , 1400 , 1960 , 2450 , 4900 and 9800.

### What is the prime factorization of 9800 ?

The prime factorization of 9800 is 2 x 2 x 2 x 5 x 5 x 7 x 7 or 23 x 52 x 72, where 2 , 5 , 7 are the prime numbers .

### What are the prime factors of 9800 ?

The prime factors of 9800 are 2 , 5 , 7 .

### Is 9800 a prime number ?

A prime number is a number that has only two factors 1 and itself.
9800 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 49 , 50 , 56 , 70 , 98 , 100 , 140 , 175 , 196 , 200 , 245 , 280 , 350 , 392 , 490 , 700 , 980 , 1225 , 1400 , 1960 , 2450 , 4900 and 9800.