What are all the factors, the prime factorization, and factor pairs of 987000?

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 987000 , you can use the division method.

   1. Begin by dividing 987000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 987000.

   3. Continue dividing 987000 by larger numbers until you find an odd number that does not divide evenly into 987000 .

   4. The numbers that divide evenly into 987000 are the factors of 987000 .

Now let us find how to calculate all the factors of Nine hundred eighty-seven thousand :

    987000 ÷ 1 = 987000
    987000 ÷ 2 = 493500
    987000 ÷ 3 = 329000
    987000 ÷ 4 = 246750
    987000 ÷ 5 = 197400
    987000 ÷ 6 = 164500
    987000 ÷ 7 = 141000
    987000 ÷ 8 = 123375
    987000 ÷ 10 = 98700
    987000 ÷ 12 = 82250
    987000 ÷ 14 = 70500
    987000 ÷ 15 = 65800
    987000 ÷ 20 = 49350
    987000 ÷ 21 = 47000
    987000 ÷ 24 = 41125
    987000 ÷ 25 = 39480
    987000 ÷ 28 = 35250
    987000 ÷ 30 = 32900
    987000 ÷ 35 = 28200
    987000 ÷ 40 = 24675
    987000 ÷ 42 = 23500
    987000 ÷ 47 = 21000
    987000 ÷ 50 = 19740
    987000 ÷ 56 = 17625
    987000 ÷ 60 = 16450
    987000 ÷ 70 = 14100
    987000 ÷ 75 = 13160
    987000 ÷ 84 = 11750
    987000 ÷ 94 = 10500
    987000 ÷ 100 = 9870
    987000 ÷ 105 = 9400
    987000 ÷ 120 = 8225
    987000 ÷ 125 = 7896
    987000 ÷ 140 = 7050
    987000 ÷ 141 = 7000
    987000 ÷ 150 = 6580
    987000 ÷ 168 = 5875
    987000 ÷ 175 = 5640
    987000 ÷ 188 = 5250
    987000 ÷ 200 = 4935
    987000 ÷ 210 = 4700
    987000 ÷ 235 = 4200
    987000 ÷ 250 = 3948
    987000 ÷ 280 = 3525
    987000 ÷ 282 = 3500
    987000 ÷ 300 = 3290
    987000 ÷ 329 = 3000
    987000 ÷ 350 = 2820
    987000 ÷ 375 = 2632
    987000 ÷ 376 = 2625
    987000 ÷ 420 = 2350
    987000 ÷ 470 = 2100
    987000 ÷ 500 = 1974
    987000 ÷ 525 = 1880
    987000 ÷ 564 = 1750
    987000 ÷ 600 = 1645
    987000 ÷ 658 = 1500
    987000 ÷ 700 = 1410
    987000 ÷ 705 = 1400
    987000 ÷ 750 = 1316
    987000 ÷ 840 = 1175
    987000 ÷ 875 = 1128
    987000 ÷ 940 = 1050
    987000 ÷ 987 = 1000
    987000 ÷ 1000 = 987
    987000 ÷ 1050 = 940
    987000 ÷ 1128 = 875
    987000 ÷ 1175 = 840
    987000 ÷ 1316 = 750
    987000 ÷ 1400 = 705
    987000 ÷ 1410 = 700
    987000 ÷ 1500 = 658
    987000 ÷ 1645 = 600
    987000 ÷ 1750 = 564
    987000 ÷ 1880 = 525
    987000 ÷ 1974 = 500
    987000 ÷ 2100 = 470
    987000 ÷ 2350 = 420
    987000 ÷ 2625 = 376
    987000 ÷ 2632 = 375
    987000 ÷ 2820 = 350
    987000 ÷ 3000 = 329
    987000 ÷ 3290 = 300
    987000 ÷ 3500 = 282
    987000 ÷ 3525 = 280
    987000 ÷ 3948 = 250
    987000 ÷ 4200 = 235
    987000 ÷ 4700 = 210
    987000 ÷ 4935 = 200
    987000 ÷ 5250 = 188
    987000 ÷ 5640 = 175
    987000 ÷ 5875 = 168
    987000 ÷ 6580 = 150
    987000 ÷ 7000 = 141
    987000 ÷ 7050 = 140
    987000 ÷ 7896 = 125
    987000 ÷ 8225 = 120
    987000 ÷ 9400 = 105
    987000 ÷ 9870 = 100
    987000 ÷ 10500 = 94
    987000 ÷ 11750 = 84
    987000 ÷ 13160 = 75
    987000 ÷ 14100 = 70
    987000 ÷ 16450 = 60
    987000 ÷ 17625 = 56
    987000 ÷ 19740 = 50
    987000 ÷ 21000 = 47
    987000 ÷ 23500 = 42
    987000 ÷ 24675 = 40
    987000 ÷ 28200 = 35
    987000 ÷ 32900 = 30
    987000 ÷ 35250 = 28
    987000 ÷ 39480 = 25
    987000 ÷ 41125 = 24
    987000 ÷ 47000 = 21
    987000 ÷ 49350 = 20
    987000 ÷ 65800 = 15
    987000 ÷ 70500 = 14
    987000 ÷ 82250 = 12
    987000 ÷ 98700 = 10
    987000 ÷ 123375 = 8
    987000 ÷ 141000 = 7
    987000 ÷ 164500 = 6
    987000 ÷ 197400 = 5
    987000 ÷ 246750 = 4
    987000 ÷ 329000 = 3
    987000 ÷ 493500 = 2
    987000 ÷ 987000 = 1

As you can see, the factors of 987000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 47 , 50 , 56 , 60 , 70 , 75 , 84 , 94 , 100 , 105 , 120 , 125 , 140 , 141 , 150 , 168 , 175 , 188 , 200 , 210 , 235 , 250 , 280 , 282 , 300 , 329 , 350 , 375 , 376 , 420 , 470 , 500 , 525 , 564 , 600 , 658 , 700 , 705 , 750 , 840 , 875 , 940 , 987 , 1000 , 1050 , 1128 , 1175 , 1316 , 1400 , 1410 , 1500 , 1645 , 1750 , 1880 , 1974 , 2100 , 2350 , 2625 , 2632 , 2820 , 3000 , 3290 , 3500 , 3525 , 3948 , 4200 , 4700 , 4935 , 5250 , 5640 , 5875 , 6580 , 7000 , 7050 , 7896 , 8225 , 9400 , 9870 , 10500 , 11750 , 13160 , 14100 , 16450 , 17625 , 19740 , 21000 , 23500 , 24675 , 28200 , 32900 , 35250 , 39480 , 41125 , 47000 , 49350 , 65800 , 70500 , 82250 , 98700 , 123375 , 141000 , 164500 , 197400 , 246750 , 329000 , 493500 and 987000 .

The factors of 987000 are the numbers that can evenly divide 987000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 47 , 50 , 56 , 60 , 70 , 75 , 84 , 94 , 100 , 105 , 120 , 125 , 140 , 141 , 150 , 168 , 175 , 188 , 200 , 210 , 235 , 250 , 280 , 282 , 300 , 329 , 350 , 375 , 376 , 420 , 470 , 500 , 525 , 564 , 600 , 658 , 700 , 705 , 750 , 840 , 875 , 940 , 987 , 1000 , 1050 , 1128 , 1175 , 1316 , 1400 , 1410 , 1500 , 1645 , 1750 , 1880 , 1974 , 2100 , 2350 , 2625 , 2632 , 2820 , 3000 , 3290 , 3500 , 3525 , 3948 , 4200 , 4700 , 4935 , 5250 , 5640 , 5875 , 6580 , 7000 , 7050 , 7896 , 8225 , 9400 , 9870 , 10500 , 11750 , 13160 , 14100 , 16450 , 17625 , 19740 , 21000 , 23500 , 24675 , 28200 , 32900 , 35250 , 39480 , 41125 , 47000 , 49350 , 65800 , 70500 , 82250 , 98700 , 123375 , 141000 , 164500 , 197400 , 246750 , 329000 , 493500 and 987000.

Thus, there are a total of 128 factors of 987000

Factor Pairs of 987000 are combinations of two factors that when multiplied together equal 987000. There are many ways to calculate the factor pairs of 987000 .

One easy way is to list out the factors of 987000 :
   1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 47 , 50 , 56 , 60 , 70 , 75 , 84 , 94 , 100 , 105 , 120 , 125 , 140 , 141 , 150 , 168 , 175 , 188 , 200 , 210 , 235 , 250 , 280 , 282 , 300 , 329 , 350 , 375 , 376 , 420 , 470 , 500 , 525 , 564 , 600 , 658 , 700 , 705 , 750 , 840 , 875 , 940 , 987 , 1000 , 1050 , 1128 , 1175 , 1316 , 1400 , 1410 , 1500 , 1645 , 1750 , 1880 , 1974 , 2100 , 2350 , 2625 , 2632 , 2820 , 3000 , 3290 , 3500 , 3525 , 3948 , 4200 , 4700 , 4935 , 5250 , 5640 , 5875 , 6580 , 7000 , 7050 , 7896 , 8225 , 9400 , 9870 , 10500 , 11750 , 13160 , 14100 , 16450 , 17625 , 19740 , 21000 , 23500 , 24675 , 28200 , 32900 , 35250 , 39480 , 41125 , 47000 , 49350 , 65800 , 70500 , 82250 , 98700 , 123375 , 141000 , 164500 , 197400 , 246750 , 329000 , 493500 , 987000

Then, pair up the factors:
   (1,987000),(2,493500),(3,329000),(4,246750),(5,197400),(6,164500),(7,141000),(8,123375),(10,98700),(12,82250),(14,70500),(15,65800),(20,49350),(21,47000),(24,41125),(25,39480),(28,35250),(30,32900),(35,28200),(40,24675),(42,23500),(47,21000),(50,19740),(56,17625),(60,16450),(70,14100),(75,13160),(84,11750),(94,10500),(100,9870),(105,9400),(120,8225),(125,7896),(140,7050),(141,7000),(150,6580),(168,5875),(175,5640),(188,5250),(200,4935),(210,4700),(235,4200),(250,3948),(280,3525),(282,3500),(300,3290),(329,3000),(350,2820),(375,2632),(376,2625),(420,2350),(470,2100),(500,1974),(525,1880),(564,1750),(600,1645),(658,1500),(700,1410),(705,1400),(750,1316),(840,1175),(875,1128),(940,1050) and (987,1000) These are the factor pairs of 987000 .

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 987000 using a factor tree, we would start by writing 987000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 987000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 47.

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 987000 using this method, we keep dividing until it gives a non-zero remainder.

    987000 ÷ 2 = 493500
    493500 ÷ 2 = 246750
    246750 ÷ 2 = 123375
    123375 ÷ 3 = 41125
    41125 ÷ 5 = 8225
    8225 ÷ 5 = 1645
    1645 ÷ 5 = 329
    329 ÷ 7 = 47
    47 ÷ 47 = 1

So the prime factors of 987000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 47.

987000 in French

987000 in English