What are all the factors, the prime factorization, and factor pairs of 117000?

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 117000 , you can use the division method.

   1. Begin by dividing 117000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 117000.

   3. Continue dividing 117000 by larger numbers until you find an odd number that does not divide evenly into 117000 .

   4. The numbers that divide evenly into 117000 are the factors of 117000 .

Now let us find how to calculate all the factors of One hundred seventeen thousand :

    117000 ÷ 1 = 117000
    117000 ÷ 2 = 58500
    117000 ÷ 3 = 39000
    117000 ÷ 4 = 29250
    117000 ÷ 5 = 23400
    117000 ÷ 6 = 19500
    117000 ÷ 8 = 14625
    117000 ÷ 9 = 13000
    117000 ÷ 10 = 11700
    117000 ÷ 12 = 9750
    117000 ÷ 13 = 9000
    117000 ÷ 15 = 7800
    117000 ÷ 18 = 6500
    117000 ÷ 20 = 5850
    117000 ÷ 24 = 4875
    117000 ÷ 25 = 4680
    117000 ÷ 26 = 4500
    117000 ÷ 30 = 3900
    117000 ÷ 36 = 3250
    117000 ÷ 39 = 3000
    117000 ÷ 40 = 2925
    117000 ÷ 45 = 2600
    117000 ÷ 50 = 2340
    117000 ÷ 52 = 2250
    117000 ÷ 60 = 1950
    117000 ÷ 65 = 1800
    117000 ÷ 72 = 1625
    117000 ÷ 75 = 1560
    117000 ÷ 78 = 1500
    117000 ÷ 90 = 1300
    117000 ÷ 100 = 1170
    117000 ÷ 104 = 1125
    117000 ÷ 117 = 1000
    117000 ÷ 120 = 975
    117000 ÷ 125 = 936
    117000 ÷ 130 = 900
    117000 ÷ 150 = 780
    117000 ÷ 156 = 750
    117000 ÷ 180 = 650
    117000 ÷ 195 = 600
    117000 ÷ 200 = 585
    117000 ÷ 225 = 520
    117000 ÷ 234 = 500
    117000 ÷ 250 = 468
    117000 ÷ 260 = 450
    117000 ÷ 300 = 390
    117000 ÷ 312 = 375
    117000 ÷ 325 = 360
    117000 ÷ 360 = 325
    117000 ÷ 375 = 312
    117000 ÷ 390 = 300
    117000 ÷ 450 = 260
    117000 ÷ 468 = 250
    117000 ÷ 500 = 234
    117000 ÷ 520 = 225
    117000 ÷ 585 = 200
    117000 ÷ 600 = 195
    117000 ÷ 650 = 180
    117000 ÷ 750 = 156
    117000 ÷ 780 = 150
    117000 ÷ 900 = 130
    117000 ÷ 936 = 125
    117000 ÷ 975 = 120
    117000 ÷ 1000 = 117
    117000 ÷ 1125 = 104
    117000 ÷ 1170 = 100
    117000 ÷ 1300 = 90
    117000 ÷ 1500 = 78
    117000 ÷ 1560 = 75
    117000 ÷ 1625 = 72
    117000 ÷ 1800 = 65
    117000 ÷ 1950 = 60
    117000 ÷ 2250 = 52
    117000 ÷ 2340 = 50
    117000 ÷ 2600 = 45
    117000 ÷ 2925 = 40
    117000 ÷ 3000 = 39
    117000 ÷ 3250 = 36
    117000 ÷ 3900 = 30
    117000 ÷ 4500 = 26
    117000 ÷ 4680 = 25
    117000 ÷ 4875 = 24
    117000 ÷ 5850 = 20
    117000 ÷ 6500 = 18
    117000 ÷ 7800 = 15
    117000 ÷ 9000 = 13
    117000 ÷ 9750 = 12
    117000 ÷ 11700 = 10
    117000 ÷ 13000 = 9
    117000 ÷ 14625 = 8
    117000 ÷ 19500 = 6
    117000 ÷ 23400 = 5
    117000 ÷ 29250 = 4
    117000 ÷ 39000 = 3
    117000 ÷ 58500 = 2
    117000 ÷ 117000 = 1

As you can see, the factors of 117000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 125 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 250 , 260 , 300 , 312 , 325 , 360 , 375 , 390 , 450 , 468 , 500 , 520 , 585 , 600 , 650 , 750 , 780 , 900 , 936 , 975 , 1000 , 1125 , 1170 , 1300 , 1500 , 1560 , 1625 , 1800 , 1950 , 2250 , 2340 , 2600 , 2925 , 3000 , 3250 , 3900 , 4500 , 4680 , 4875 , 5850 , 6500 , 7800 , 9000 , 9750 , 11700 , 13000 , 14625 , 19500 , 23400 , 29250 , 39000 , 58500 and 117000 .

The factors of 117000 are the numbers that can evenly divide 117000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 125 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 250 , 260 , 300 , 312 , 325 , 360 , 375 , 390 , 450 , 468 , 500 , 520 , 585 , 600 , 650 , 750 , 780 , 900 , 936 , 975 , 1000 , 1125 , 1170 , 1300 , 1500 , 1560 , 1625 , 1800 , 1950 , 2250 , 2340 , 2600 , 2925 , 3000 , 3250 , 3900 , 4500 , 4680 , 4875 , 5850 , 6500 , 7800 , 9000 , 9750 , 11700 , 13000 , 14625 , 19500 , 23400 , 29250 , 39000 , 58500 and 117000.

Thus, there are a total of 96 factors of 117000

Factor Pairs of 117000 are combinations of two factors that when multiplied together equal 117000. There are many ways to calculate the factor pairs of 117000 .

One easy way is to list out the factors of 117000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 125 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 250 , 260 , 300 , 312 , 325 , 360 , 375 , 390 , 450 , 468 , 500 , 520 , 585 , 600 , 650 , 750 , 780 , 900 , 936 , 975 , 1000 , 1125 , 1170 , 1300 , 1500 , 1560 , 1625 , 1800 , 1950 , 2250 , 2340 , 2600 , 2925 , 3000 , 3250 , 3900 , 4500 , 4680 , 4875 , 5850 , 6500 , 7800 , 9000 , 9750 , 11700 , 13000 , 14625 , 19500 , 23400 , 29250 , 39000 , 58500 , 117000

Then, pair up the factors:
   (1,117000),(2,58500),(3,39000),(4,29250),(5,23400),(6,19500),(8,14625),(9,13000),(10,11700),(12,9750),(13,9000),(15,7800),(18,6500),(20,5850),(24,4875),(25,4680),(26,4500),(30,3900),(36,3250),(39,3000),(40,2925),(45,2600),(50,2340),(52,2250),(60,1950),(65,1800),(72,1625),(75,1560),(78,1500),(90,1300),(100,1170),(104,1125),(117,1000),(120,975),(125,936),(130,900),(150,780),(156,750),(180,650),(195,600),(200,585),(225,520),(234,500),(250,468),(260,450),(300,390),(312,375) and (325,360) These are the factor pairs of 117000 .

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 117000 using a factor tree, we would start by writing 117000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 117000 would be 2 x 2 x 2 x 3 x 3 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 117000 using this method, we keep dividing until it gives a non-zero remainder.

    117000 ÷ 2 = 58500
    58500 ÷ 2 = 29250
    29250 ÷ 2 = 14625
    14625 ÷ 3 = 4875
    4875 ÷ 3 = 1625
    1625 ÷ 5 = 325
    325 ÷ 5 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So the prime factors of 117000 are 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13.

117000 in French

117000 in English