What are all the factors, the prime factorization, and factor pairs of 238000?

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 238000 , you can use the division method.

   1. Begin by dividing 238000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 238000.

   3. Continue dividing 238000 by larger numbers until you find an odd number that does not divide evenly into 238000 .

   4. The numbers that divide evenly into 238000 are the factors of 238000 .

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

    238000 ÷ 1 = 238000
    238000 ÷ 2 = 119000
    238000 ÷ 4 = 59500
    238000 ÷ 5 = 47600
    238000 ÷ 7 = 34000
    238000 ÷ 8 = 29750
    238000 ÷ 10 = 23800
    238000 ÷ 14 = 17000
    238000 ÷ 16 = 14875
    238000 ÷ 17 = 14000
    238000 ÷ 20 = 11900
    238000 ÷ 25 = 9520
    238000 ÷ 28 = 8500
    238000 ÷ 34 = 7000
    238000 ÷ 35 = 6800
    238000 ÷ 40 = 5950
    238000 ÷ 50 = 4760
    238000 ÷ 56 = 4250
    238000 ÷ 68 = 3500
    238000 ÷ 70 = 3400
    238000 ÷ 80 = 2975
    238000 ÷ 85 = 2800
    238000 ÷ 100 = 2380
    238000 ÷ 112 = 2125
    238000 ÷ 119 = 2000
    238000 ÷ 125 = 1904
    238000 ÷ 136 = 1750
    238000 ÷ 140 = 1700
    238000 ÷ 170 = 1400
    238000 ÷ 175 = 1360
    238000 ÷ 200 = 1190
    238000 ÷ 238 = 1000
    238000 ÷ 250 = 952
    238000 ÷ 272 = 875
    238000 ÷ 280 = 850
    238000 ÷ 340 = 700
    238000 ÷ 350 = 680
    238000 ÷ 400 = 595
    238000 ÷ 425 = 560
    238000 ÷ 476 = 500
    238000 ÷ 500 = 476
    238000 ÷ 560 = 425
    238000 ÷ 595 = 400
    238000 ÷ 680 = 350
    238000 ÷ 700 = 340
    238000 ÷ 850 = 280
    238000 ÷ 875 = 272
    238000 ÷ 952 = 250
    238000 ÷ 1000 = 238
    238000 ÷ 1190 = 200
    238000 ÷ 1360 = 175
    238000 ÷ 1400 = 170
    238000 ÷ 1700 = 140
    238000 ÷ 1750 = 136
    238000 ÷ 1904 = 125
    238000 ÷ 2000 = 119
    238000 ÷ 2125 = 112
    238000 ÷ 2380 = 100
    238000 ÷ 2800 = 85
    238000 ÷ 2975 = 80
    238000 ÷ 3400 = 70
    238000 ÷ 3500 = 68
    238000 ÷ 4250 = 56
    238000 ÷ 4760 = 50
    238000 ÷ 5950 = 40
    238000 ÷ 6800 = 35
    238000 ÷ 7000 = 34
    238000 ÷ 8500 = 28
    238000 ÷ 9520 = 25
    238000 ÷ 11900 = 20
    238000 ÷ 14000 = 17
    238000 ÷ 14875 = 16
    238000 ÷ 17000 = 14
    238000 ÷ 23800 = 10
    238000 ÷ 29750 = 8
    238000 ÷ 34000 = 7
    238000 ÷ 47600 = 5
    238000 ÷ 59500 = 4
    238000 ÷ 119000 = 2
    238000 ÷ 238000 = 1

As you can see, the factors of 238000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 17 , 20 , 25 , 28 , 34 , 35 , 40 , 50 , 56 , 68 , 70 , 80 , 85 , 100 , 112 , 119 , 125 , 136 , 140 , 170 , 175 , 200 , 238 , 250 , 272 , 280 , 340 , 350 , 400 , 425 , 476 , 500 , 560 , 595 , 680 , 700 , 850 , 875 , 952 , 1000 , 1190 , 1360 , 1400 , 1700 , 1750 , 1904 , 2000 , 2125 , 2380 , 2800 , 2975 , 3400 , 3500 , 4250 , 4760 , 5950 , 6800 , 7000 , 8500 , 9520 , 11900 , 14000 , 14875 , 17000 , 23800 , 29750 , 34000 , 47600 , 59500 , 119000 and 238000 .

The factors of 238000 are the numbers that can evenly divide 238000 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 17 , 20 , 25 , 28 , 34 , 35 , 40 , 50 , 56 , 68 , 70 , 80 , 85 , 100 , 112 , 119 , 125 , 136 , 140 , 170 , 175 , 200 , 238 , 250 , 272 , 280 , 340 , 350 , 400 , 425 , 476 , 500 , 560 , 595 , 680 , 700 , 850 , 875 , 952 , 1000 , 1190 , 1360 , 1400 , 1700 , 1750 , 1904 , 2000 , 2125 , 2380 , 2800 , 2975 , 3400 , 3500 , 4250 , 4760 , 5950 , 6800 , 7000 , 8500 , 9520 , 11900 , 14000 , 14875 , 17000 , 23800 , 29750 , 34000 , 47600 , 59500 , 119000 and 238000.

Thus, there are a total of 80 factors of 238000

Factor Pairs of 238000 are combinations of two factors that when multiplied together equal 238000. There are many ways to calculate the factor pairs of 238000 .

One easy way is to list out the factors of 238000 :
   1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 17 , 20 , 25 , 28 , 34 , 35 , 40 , 50 , 56 , 68 , 70 , 80 , 85 , 100 , 112 , 119 , 125 , 136 , 140 , 170 , 175 , 200 , 238 , 250 , 272 , 280 , 340 , 350 , 400 , 425 , 476 , 500 , 560 , 595 , 680 , 700 , 850 , 875 , 952 , 1000 , 1190 , 1360 , 1400 , 1700 , 1750 , 1904 , 2000 , 2125 , 2380 , 2800 , 2975 , 3400 , 3500 , 4250 , 4760 , 5950 , 6800 , 7000 , 8500 , 9520 , 11900 , 14000 , 14875 , 17000 , 23800 , 29750 , 34000 , 47600 , 59500 , 119000 , 238000

Then, pair up the factors:
   (1,238000),(2,119000),(4,59500),(5,47600),(7,34000),(8,29750),(10,23800),(14,17000),(16,14875),(17,14000),(20,11900),(25,9520),(28,8500),(34,7000),(35,6800),(40,5950),(50,4760),(56,4250),(68,3500),(70,3400),(80,2975),(85,2800),(100,2380),(112,2125),(119,2000),(125,1904),(136,1750),(140,1700),(170,1400),(175,1360),(200,1190),(238,1000),(250,952),(272,875),(280,850),(340,700),(350,680),(400,595),(425,560) and (476,500) These are the factor pairs of 238000 .

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 238000 using a factor tree, we would start by writing 238000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 238000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 17.

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 238000 using this method, we keep dividing until it gives a non-zero remainder.

    238000 ÷ 2 = 119000
    119000 ÷ 2 = 59500
    59500 ÷ 2 = 29750
    29750 ÷ 2 = 14875
    14875 ÷ 5 = 2975
    2975 ÷ 5 = 595
    595 ÷ 5 = 119
    119 ÷ 7 = 17
    17 ÷ 17 = 1

So the prime factors of 238000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 17.

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