What are all the factors, the prime factorization, and factor pairs of 325000?

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.

To calculate the factors of 325000 , you can use the division method.

   1. Begin by dividing 325000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 325000.

   3. Continue dividing 325000 by larger numbers until you find an odd number that does not divide evenly into 325000 .

   4. The numbers that divide evenly into 325000 are the factors of 325000 .

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

    325000 ÷ 1 = 325000
    325000 ÷ 2 = 162500
    325000 ÷ 4 = 81250
    325000 ÷ 5 = 65000
    325000 ÷ 8 = 40625
    325000 ÷ 10 = 32500
    325000 ÷ 13 = 25000
    325000 ÷ 20 = 16250
    325000 ÷ 25 = 13000
    325000 ÷ 26 = 12500
    325000 ÷ 40 = 8125
    325000 ÷ 50 = 6500
    325000 ÷ 52 = 6250
    325000 ÷ 65 = 5000
    325000 ÷ 100 = 3250
    325000 ÷ 104 = 3125
    325000 ÷ 125 = 2600
    325000 ÷ 130 = 2500
    325000 ÷ 200 = 1625
    325000 ÷ 250 = 1300
    325000 ÷ 260 = 1250
    325000 ÷ 325 = 1000
    325000 ÷ 500 = 650
    325000 ÷ 520 = 625
    325000 ÷ 625 = 520
    325000 ÷ 650 = 500
    325000 ÷ 1000 = 325
    325000 ÷ 1250 = 260
    325000 ÷ 1300 = 250
    325000 ÷ 1625 = 200
    325000 ÷ 2500 = 130
    325000 ÷ 2600 = 125
    325000 ÷ 3125 = 104
    325000 ÷ 3250 = 100
    325000 ÷ 5000 = 65
    325000 ÷ 6250 = 52
    325000 ÷ 6500 = 50
    325000 ÷ 8125 = 40
    325000 ÷ 12500 = 26
    325000 ÷ 13000 = 25
    325000 ÷ 16250 = 20
    325000 ÷ 25000 = 13
    325000 ÷ 32500 = 10
    325000 ÷ 40625 = 8
    325000 ÷ 65000 = 5
    325000 ÷ 81250 = 4
    325000 ÷ 162500 = 2
    325000 ÷ 325000 = 1

As you can see, the factors of 325000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 100 , 104 , 125 , 130 , 200 , 250 , 260 , 325 , 500 , 520 , 625 , 650 , 1000 , 1250 , 1300 , 1625 , 2500 , 2600 , 3125 , 3250 , 5000 , 6250 , 6500 , 8125 , 12500 , 13000 , 16250 , 25000 , 32500 , 40625 , 65000 , 81250 , 162500 and 325000 .

The factors of 325000 are the numbers that can evenly divide 325000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 100 , 104 , 125 , 130 , 200 , 250 , 260 , 325 , 500 , 520 , 625 , 650 , 1000 , 1250 , 1300 , 1625 , 2500 , 2600 , 3125 , 3250 , 5000 , 6250 , 6500 , 8125 , 12500 , 13000 , 16250 , 25000 , 32500 , 40625 , 65000 , 81250 , 162500 and 325000.

Thus, there are a total of 48 factors of 325000

Factor Pairs of 325000 are combinations of two factors that when multiplied together equal 325000. There are many ways to calculate the factor pairs of 325000 .

One easy way is to list out the factors of 325000 :
   1 , 2 , 4 , 5 , 8 , 10 , 13 , 20 , 25 , 26 , 40 , 50 , 52 , 65 , 100 , 104 , 125 , 130 , 200 , 250 , 260 , 325 , 500 , 520 , 625 , 650 , 1000 , 1250 , 1300 , 1625 , 2500 , 2600 , 3125 , 3250 , 5000 , 6250 , 6500 , 8125 , 12500 , 13000 , 16250 , 25000 , 32500 , 40625 , 65000 , 81250 , 162500 , 325000

Then, pair up the factors:
   (1,325000),(2,162500),(4,81250),(5,65000),(8,40625),(10,32500),(13,25000),(20,16250),(25,13000),(26,12500),(40,8125),(50,6500),(52,6250),(65,5000),(100,3250),(104,3125),(125,2600),(130,2500),(200,1625),(250,1300),(260,1250),(325,1000),(500,650) and (520,625) These are the factor pairs of 325000 .

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 325000 using a factor tree, we would start by writing 325000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 325000 would be 2 x 2 x 2 x 5 x 5 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 325000 using this method, we keep dividing until it gives a non-zero remainder.

    325000 ÷ 2 = 162500
    162500 ÷ 2 = 81250
    81250 ÷ 2 = 40625
    40625 ÷ 5 = 8125
    8125 ÷ 5 = 1625
    1625 ÷ 5 = 325
    325 ÷ 5 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So the prime factors of 325000 are 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 13.

325000 in French

325000 in English