# What are all the factors, the prime factorization, and factor pairs of 26000?

To find the factors of 26000, divide 26000 by each number starting with 1 and working up to 26000

## 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 26000 ?

To calculate the factors of 26000 , you can use the division method.

1. Begin by dividing 26000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 26000.

3. Continue dividing 26000 by larger numbers until you find an odd number that does not divide evenly into 26000 .

4. The numbers that divide evenly into 26000 are the factors of 26000 .

Now let us find how to calculate all the factors of Twenty-six thousand :

26000 ÷ 1 = 26000
26000 ÷ 2 = 13000
26000 ÷ 4 = 6500
26000 ÷ 5 = 5200
26000 ÷ 8 = 3250
26000 ÷ 10 = 2600
26000 ÷ 13 = 2000
26000 ÷ 16 = 1625
26000 ÷ 20 = 1300
26000 ÷ 25 = 1040
26000 ÷ 26 = 1000
26000 ÷ 40 = 650
26000 ÷ 50 = 520
26000 ÷ 52 = 500
26000 ÷ 65 = 400
26000 ÷ 80 = 325
26000 ÷ 100 = 260
26000 ÷ 104 = 250
26000 ÷ 125 = 208
26000 ÷ 130 = 200
26000 ÷ 200 = 130
26000 ÷ 208 = 125
26000 ÷ 250 = 104
26000 ÷ 260 = 100
26000 ÷ 325 = 80
26000 ÷ 400 = 65
26000 ÷ 500 = 52
26000 ÷ 520 = 50
26000 ÷ 650 = 40
26000 ÷ 1000 = 26
26000 ÷ 1040 = 25
26000 ÷ 1300 = 20
26000 ÷ 1625 = 16
26000 ÷ 2000 = 13
26000 ÷ 2600 = 10
26000 ÷ 3250 = 8
26000 ÷ 5200 = 5
26000 ÷ 6500 = 4
26000 ÷ 13000 = 2
26000 ÷ 26000 = 1

As you can see, the factors of 26000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 200 , 208 , 250 , 260 , 325 , 400 , 500 , 520 , 650 , 1000 , 1040 , 1300 , 1625 , 2000 , 2600 , 3250 , 5200 , 6500 , 13000 and 26000 .

## How many factors of 26000 are there ?

The factors of 26000 are the numbers that can evenly divide 26000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 200 , 208 , 250 , 260 , 325 , 400 , 500 , 520 , 650 , 1000 , 1040 , 1300 , 1625 , 2000 , 2600 , 3250 , 5200 , 6500 , 13000 and 26000.

Thus, there are a total of 40 factors of 26000

## What are the factor pairs of 26000 ?

Factor Pairs of 26000 are combinations of two factors that when multiplied together equal 26000. There are many ways to calculate the factor pairs of 26000 .

One easy way is to list out the factors of 26000 :
1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 200 , 208 , 250 , 260 , 325 , 400 , 500 , 520 , 650 , 1000 , 1040 , 1300 , 1625 , 2000 , 2600 , 3250 , 5200 , 6500 , 13000 , 26000

Then, pair up the factors:
(1,26000),(2,13000),(4,6500),(5,5200),(8,3250),(10,2600),(13,2000),(16,1625),(20,1300),(25,1040),(26,1000),(40,650),(50,520),(52,500),(65,400),(80,325),(100,260),(104,250),(125,208) and (130,200) These are the factor pairs of 26000 .

## Prime Factorisation of 26000

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 26000 using a factor tree, we would start by writing 26000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 26000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13.

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 26000 using this method, we keep dividing until it gives a non-zero remainder.

26000 ÷ 2 = 13000
13000 ÷ 2 = 6500
6500 ÷ 2 = 3250
3250 ÷ 2 = 1625
1625 ÷ 5 = 325
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So the prime factors of 26000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 26000 ?

The factors of 26000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 200 , 208 , 250 , 260 , 325 , 400 , 500 , 520 , 650 , 1000 , 1040 , 1300 , 1625 , 2000 , 2600 , 3250 , 5200 , 6500 , 13000 and 26000.

### What is the prime factorization of 26000 ?

The prime factorization of 26000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 or 24 x 53 x 131, where 2 , 5 , 13 are the prime numbers .

### What are the prime factors of 26000 ?

The prime factors of 26000 are 2 , 5 , 13 .

### Is 26000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
26000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 200 , 208 , 250 , 260 , 325 , 400 , 500 , 520 , 650 , 1000 , 1040 , 1300 , 1625 , 2000 , 2600 , 3250 , 5200 , 6500 , 13000 and 26000.