# What are all the factors, the prime factorization, and factor pairs of 8900?

To find the factors of 8900, divide 8900 by each number starting with 1 and working up to 8900

## 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 8900 ?

To calculate the factors of 8900 , you can use the division method.

1. Begin by dividing 8900 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 8900.

3. Continue dividing 8900 by larger numbers until you find an odd number that does not divide evenly into 8900 .

4. The numbers that divide evenly into 8900 are the factors of 8900 .

Now let us find how to calculate all the factors of Eight thousand nine hundred :

8900 ÷ 1 = 8900
8900 ÷ 2 = 4450
8900 ÷ 4 = 2225
8900 ÷ 5 = 1780
8900 ÷ 10 = 890
8900 ÷ 20 = 445
8900 ÷ 25 = 356
8900 ÷ 50 = 178
8900 ÷ 89 = 100
8900 ÷ 100 = 89
8900 ÷ 178 = 50
8900 ÷ 356 = 25
8900 ÷ 445 = 20
8900 ÷ 890 = 10
8900 ÷ 1780 = 5
8900 ÷ 2225 = 4
8900 ÷ 4450 = 2
8900 ÷ 8900 = 1

As you can see, the factors of 8900 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 89 , 100 , 178 , 356 , 445 , 890 , 1780 , 2225 , 4450 and 8900 .

## How many factors of 8900 are there ?

The factors of 8900 are the numbers that can evenly divide 8900 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 89 , 100 , 178 , 356 , 445 , 890 , 1780 , 2225 , 4450 and 8900.

Thus, there are a total of 18 factors of 8900

## What are the factor pairs of 8900 ?

Factor Pairs of 8900 are combinations of two factors that when multiplied together equal 8900. There are many ways to calculate the factor pairs of 8900 .

One easy way is to list out the factors of 8900 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 89 , 100 , 178 , 356 , 445 , 890 , 1780 , 2225 , 4450 , 8900

Then, pair up the factors:
(1,8900),(2,4450),(4,2225),(5,1780),(10,890),(20,445),(25,356),(50,178) and (89,100) These are the factor pairs of 8900 .

## Prime Factorisation of 8900

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 8900 using a factor tree, we would start by writing 8900 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 8900 would be 2 x 2 x 5 x 5 x 89.

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 8900 using this method, we keep dividing until it gives a non-zero remainder.

8900 ÷ 2 = 4450
4450 ÷ 2 = 2225
2225 ÷ 5 = 445
445 ÷ 5 = 89
89 ÷ 89 = 1

So the prime factors of 8900 are 2 x 2 x 5 x 5 x 89.

## Frequently Asked Questions on Factors

### What are all the factors of 8900 ?

The factors of 8900 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 89 , 100 , 178 , 356 , 445 , 890 , 1780 , 2225 , 4450 and 8900.

### What is the prime factorization of 8900 ?

The prime factorization of 8900 is 2 x 2 x 5 x 5 x 89 or 22 x 52 x 891, where 2 , 5 , 89 are the prime numbers .

### What are the prime factors of 8900 ?

The prime factors of 8900 are 2 , 5 , 89 .

### Is 8900 a prime number ?

A prime number is a number that has only two factors 1 and itself.
8900 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 89 , 100 , 178 , 356 , 445 , 890 , 1780 , 2225 , 4450 and 8900.