# What are all the factors, the prime factorization, and factor pairs of 338000?

To find the factors of 338000, divide 338000 by each number starting with 1 and working up to 338000

## 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 338000 ?

To calculate the factors of 338000 , you can use the division method.

1. Begin by dividing 338000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 338000.

3. Continue dividing 338000 by larger numbers until you find an odd number that does not divide evenly into 338000 .

4. The numbers that divide evenly into 338000 are the factors of 338000 .

Now let us find how to calculate all the factors of Three hundred thirty-eight thousand :

338000 ÷ 1 = 338000
338000 ÷ 2 = 169000
338000 ÷ 4 = 84500
338000 ÷ 5 = 67600
338000 ÷ 8 = 42250
338000 ÷ 10 = 33800
338000 ÷ 13 = 26000
338000 ÷ 16 = 21125
338000 ÷ 20 = 16900
338000 ÷ 25 = 13520
338000 ÷ 26 = 13000
338000 ÷ 40 = 8450
338000 ÷ 50 = 6760
338000 ÷ 52 = 6500
338000 ÷ 65 = 5200
338000 ÷ 80 = 4225
338000 ÷ 100 = 3380
338000 ÷ 104 = 3250
338000 ÷ 125 = 2704
338000 ÷ 130 = 2600
338000 ÷ 169 = 2000
338000 ÷ 200 = 1690
338000 ÷ 208 = 1625
338000 ÷ 250 = 1352
338000 ÷ 260 = 1300
338000 ÷ 325 = 1040
338000 ÷ 338 = 1000
338000 ÷ 400 = 845
338000 ÷ 500 = 676
338000 ÷ 520 = 650
338000 ÷ 650 = 520
338000 ÷ 676 = 500
338000 ÷ 845 = 400
338000 ÷ 1000 = 338
338000 ÷ 1040 = 325
338000 ÷ 1300 = 260
338000 ÷ 1352 = 250
338000 ÷ 1625 = 208
338000 ÷ 1690 = 200
338000 ÷ 2000 = 169
338000 ÷ 2600 = 130
338000 ÷ 2704 = 125
338000 ÷ 3250 = 104
338000 ÷ 3380 = 100
338000 ÷ 4225 = 80
338000 ÷ 5200 = 65
338000 ÷ 6500 = 52
338000 ÷ 6760 = 50
338000 ÷ 8450 = 40
338000 ÷ 13000 = 26
338000 ÷ 13520 = 25
338000 ÷ 16900 = 20
338000 ÷ 21125 = 16
338000 ÷ 26000 = 13
338000 ÷ 33800 = 10
338000 ÷ 42250 = 8
338000 ÷ 67600 = 5
338000 ÷ 84500 = 4
338000 ÷ 169000 = 2
338000 ÷ 338000 = 1

As you can see, the factors of 338000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 169 , 200 , 208 , 250 , 260 , 325 , 338 , 400 , 500 , 520 , 650 , 676 , 845 , 1000 , 1040 , 1300 , 1352 , 1625 , 1690 , 2000 , 2600 , 2704 , 3250 , 3380 , 4225 , 5200 , 6500 , 6760 , 8450 , 13000 , 13520 , 16900 , 21125 , 26000 , 33800 , 42250 , 67600 , 84500 , 169000 and 338000 .

## How many factors of 338000 are there ?

The factors of 338000 are the numbers that can evenly divide 338000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 169 , 200 , 208 , 250 , 260 , 325 , 338 , 400 , 500 , 520 , 650 , 676 , 845 , 1000 , 1040 , 1300 , 1352 , 1625 , 1690 , 2000 , 2600 , 2704 , 3250 , 3380 , 4225 , 5200 , 6500 , 6760 , 8450 , 13000 , 13520 , 16900 , 21125 , 26000 , 33800 , 42250 , 67600 , 84500 , 169000 and 338000.

Thus, there are a total of 60 factors of 338000

## What are the factor pairs of 338000 ?

Factor Pairs of 338000 are combinations of two factors that when multiplied together equal 338000. There are many ways to calculate the factor pairs of 338000 .

One easy way is to list out the factors of 338000 :
1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 169 , 200 , 208 , 250 , 260 , 325 , 338 , 400 , 500 , 520 , 650 , 676 , 845 , 1000 , 1040 , 1300 , 1352 , 1625 , 1690 , 2000 , 2600 , 2704 , 3250 , 3380 , 4225 , 5200 , 6500 , 6760 , 8450 , 13000 , 13520 , 16900 , 21125 , 26000 , 33800 , 42250 , 67600 , 84500 , 169000 , 338000

Then, pair up the factors:
(1,338000),(2,169000),(4,84500),(5,67600),(8,42250),(10,33800),(13,26000),(16,21125),(20,16900),(25,13520),(26,13000),(40,8450),(50,6760),(52,6500),(65,5200),(80,4225),(100,3380),(104,3250),(125,2704),(130,2600),(169,2000),(200,1690),(208,1625),(250,1352),(260,1300),(325,1040),(338,1000),(400,845),(500,676) and (520,650) These are the factor pairs of 338000 .

## Prime Factorisation of 338000

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 338000 using a factor tree, we would start by writing 338000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 338000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 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 338000 using this method, we keep dividing until it gives a non-zero remainder.

338000 ÷ 2 = 169000
169000 ÷ 2 = 84500
84500 ÷ 2 = 42250
42250 ÷ 2 = 21125
21125 ÷ 5 = 4225
4225 ÷ 5 = 845
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1

So the prime factors of 338000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 338000 ?

The factors of 338000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 80 , 100 , 104 , 125 , 130 , 169 , 200 , 208 , 250 , 260 , 325 , 338 , 400 , 500 , 520 , 650 , 676 , 845 , 1000 , 1040 , 1300 , 1352 , 1625 , 1690 , 2000 , 2600 , 2704 , 3250 , 3380 , 4225 , 5200 , 6500 , 6760 , 8450 , 13000 , 13520 , 16900 , 21125 , 26000 , 33800 , 42250 , 67600 , 84500 , 169000 and 338000.

### What is the prime factorization of 338000 ?

The prime factorization of 338000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 x 13 or 24 x 53 x 132, where 2 , 5 , 13 are the prime numbers .

### What are the prime factors of 338000 ?

The prime factors of 338000 are 2 , 5 , 13 .

### Is 338000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
338000 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 , 169 , 200 , 208 , 250 , 260 , 325 , 338 , 400 , 500 , 520 , 650 , 676 , 845 , 1000 , 1040 , 1300 , 1352 , 1625 , 1690 , 2000 , 2600 , 2704 , 3250 , 3380 , 4225 , 5200 , 6500 , 6760 , 8450 , 13000 , 13520 , 16900 , 21125 , 26000 , 33800 , 42250 , 67600 , 84500 , 169000 and 338000.