What are all the factors, the prime factorization, and factor pairs of 396000?

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 396000 , you can use the division method.

   1. Begin by dividing 396000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 396000.

   3. Continue dividing 396000 by larger numbers until you find an odd number that does not divide evenly into 396000 .

   4. The numbers that divide evenly into 396000 are the factors of 396000 .

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

    396000 ÷ 1 = 396000
    396000 ÷ 2 = 198000
    396000 ÷ 3 = 132000
    396000 ÷ 4 = 99000
    396000 ÷ 5 = 79200
    396000 ÷ 6 = 66000
    396000 ÷ 8 = 49500
    396000 ÷ 9 = 44000
    396000 ÷ 10 = 39600
    396000 ÷ 11 = 36000
    396000 ÷ 12 = 33000
    396000 ÷ 15 = 26400
    396000 ÷ 16 = 24750
    396000 ÷ 18 = 22000
    396000 ÷ 20 = 19800
    396000 ÷ 22 = 18000
    396000 ÷ 24 = 16500
    396000 ÷ 25 = 15840
    396000 ÷ 30 = 13200
    396000 ÷ 32 = 12375
    396000 ÷ 33 = 12000
    396000 ÷ 36 = 11000
    396000 ÷ 40 = 9900
    396000 ÷ 44 = 9000
    396000 ÷ 45 = 8800
    396000 ÷ 48 = 8250
    396000 ÷ 50 = 7920
    396000 ÷ 55 = 7200
    396000 ÷ 60 = 6600
    396000 ÷ 66 = 6000
    396000 ÷ 72 = 5500
    396000 ÷ 75 = 5280
    396000 ÷ 80 = 4950
    396000 ÷ 88 = 4500
    396000 ÷ 90 = 4400
    396000 ÷ 96 = 4125
    396000 ÷ 99 = 4000
    396000 ÷ 100 = 3960
    396000 ÷ 110 = 3600
    396000 ÷ 120 = 3300
    396000 ÷ 125 = 3168
    396000 ÷ 132 = 3000
    396000 ÷ 144 = 2750
    396000 ÷ 150 = 2640
    396000 ÷ 160 = 2475
    396000 ÷ 165 = 2400
    396000 ÷ 176 = 2250
    396000 ÷ 180 = 2200
    396000 ÷ 198 = 2000
    396000 ÷ 200 = 1980
    396000 ÷ 220 = 1800
    396000 ÷ 225 = 1760
    396000 ÷ 240 = 1650
    396000 ÷ 250 = 1584
    396000 ÷ 264 = 1500
    396000 ÷ 275 = 1440
    396000 ÷ 288 = 1375
    396000 ÷ 300 = 1320
    396000 ÷ 330 = 1200
    396000 ÷ 352 = 1125
    396000 ÷ 360 = 1100
    396000 ÷ 375 = 1056
    396000 ÷ 396 = 1000
    396000 ÷ 400 = 990
    396000 ÷ 440 = 900
    396000 ÷ 450 = 880
    396000 ÷ 480 = 825
    396000 ÷ 495 = 800
    396000 ÷ 500 = 792
    396000 ÷ 528 = 750
    396000 ÷ 550 = 720
    396000 ÷ 600 = 660
    396000 ÷ 660 = 600
    396000 ÷ 720 = 550
    396000 ÷ 750 = 528
    396000 ÷ 792 = 500
    396000 ÷ 800 = 495
    396000 ÷ 825 = 480
    396000 ÷ 880 = 450
    396000 ÷ 900 = 440
    396000 ÷ 990 = 400
    396000 ÷ 1000 = 396
    396000 ÷ 1056 = 375
    396000 ÷ 1100 = 360
    396000 ÷ 1125 = 352
    396000 ÷ 1200 = 330
    396000 ÷ 1320 = 300
    396000 ÷ 1375 = 288
    396000 ÷ 1440 = 275
    396000 ÷ 1500 = 264
    396000 ÷ 1584 = 250
    396000 ÷ 1650 = 240
    396000 ÷ 1760 = 225
    396000 ÷ 1800 = 220
    396000 ÷ 1980 = 200
    396000 ÷ 2000 = 198
    396000 ÷ 2200 = 180
    396000 ÷ 2250 = 176
    396000 ÷ 2400 = 165
    396000 ÷ 2475 = 160
    396000 ÷ 2640 = 150
    396000 ÷ 2750 = 144
    396000 ÷ 3000 = 132
    396000 ÷ 3168 = 125
    396000 ÷ 3300 = 120
    396000 ÷ 3600 = 110
    396000 ÷ 3960 = 100
    396000 ÷ 4000 = 99
    396000 ÷ 4125 = 96
    396000 ÷ 4400 = 90
    396000 ÷ 4500 = 88
    396000 ÷ 4950 = 80
    396000 ÷ 5280 = 75
    396000 ÷ 5500 = 72
    396000 ÷ 6000 = 66
    396000 ÷ 6600 = 60
    396000 ÷ 7200 = 55
    396000 ÷ 7920 = 50
    396000 ÷ 8250 = 48
    396000 ÷ 8800 = 45
    396000 ÷ 9000 = 44
    396000 ÷ 9900 = 40
    396000 ÷ 11000 = 36
    396000 ÷ 12000 = 33
    396000 ÷ 12375 = 32
    396000 ÷ 13200 = 30
    396000 ÷ 15840 = 25
    396000 ÷ 16500 = 24
    396000 ÷ 18000 = 22
    396000 ÷ 19800 = 20
    396000 ÷ 22000 = 18
    396000 ÷ 24750 = 16
    396000 ÷ 26400 = 15
    396000 ÷ 33000 = 12
    396000 ÷ 36000 = 11
    396000 ÷ 39600 = 10
    396000 ÷ 44000 = 9
    396000 ÷ 49500 = 8
    396000 ÷ 66000 = 6
    396000 ÷ 79200 = 5
    396000 ÷ 99000 = 4
    396000 ÷ 132000 = 3
    396000 ÷ 198000 = 2
    396000 ÷ 396000 = 1

As you can see, the factors of 396000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 16 , 18 , 20 , 22 , 24 , 25 , 30 , 32 , 33 , 36 , 40 , 44 , 45 , 48 , 50 , 55 , 60 , 66 , 72 , 75 , 80 , 88 , 90 , 96 , 99 , 100 , 110 , 120 , 125 , 132 , 144 , 150 , 160 , 165 , 176 , 180 , 198 , 200 , 220 , 225 , 240 , 250 , 264 , 275 , 288 , 300 , 330 , 352 , 360 , 375 , 396 , 400 , 440 , 450 , 480 , 495 , 500 , 528 , 550 , 600 , 660 , 720 , 750 , 792 , 800 , 825 , 880 , 900 , 990 , 1000 , 1056 , 1100 , 1125 , 1200 , 1320 , 1375 , 1440 , 1500 , 1584 , 1650 , 1760 , 1800 , 1980 , 2000 , 2200 , 2250 , 2400 , 2475 , 2640 , 2750 , 3000 , 3168 , 3300 , 3600 , 3960 , 4000 , 4125 , 4400 , 4500 , 4950 , 5280 , 5500 , 6000 , 6600 , 7200 , 7920 , 8250 , 8800 , 9000 , 9900 , 11000 , 12000 , 12375 , 13200 , 15840 , 16500 , 18000 , 19800 , 22000 , 24750 , 26400 , 33000 , 36000 , 39600 , 44000 , 49500 , 66000 , 79200 , 99000 , 132000 , 198000 and 396000 .

The factors of 396000 are the numbers that can evenly divide 396000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 16 , 18 , 20 , 22 , 24 , 25 , 30 , 32 , 33 , 36 , 40 , 44 , 45 , 48 , 50 , 55 , 60 , 66 , 72 , 75 , 80 , 88 , 90 , 96 , 99 , 100 , 110 , 120 , 125 , 132 , 144 , 150 , 160 , 165 , 176 , 180 , 198 , 200 , 220 , 225 , 240 , 250 , 264 , 275 , 288 , 300 , 330 , 352 , 360 , 375 , 396 , 400 , 440 , 450 , 480 , 495 , 500 , 528 , 550 , 600 , 660 , 720 , 750 , 792 , 800 , 825 , 880 , 900 , 990 , 1000 , 1056 , 1100 , 1125 , 1200 , 1320 , 1375 , 1440 , 1500 , 1584 , 1650 , 1760 , 1800 , 1980 , 2000 , 2200 , 2250 , 2400 , 2475 , 2640 , 2750 , 3000 , 3168 , 3300 , 3600 , 3960 , 4000 , 4125 , 4400 , 4500 , 4950 , 5280 , 5500 , 6000 , 6600 , 7200 , 7920 , 8250 , 8800 , 9000 , 9900 , 11000 , 12000 , 12375 , 13200 , 15840 , 16500 , 18000 , 19800 , 22000 , 24750 , 26400 , 33000 , 36000 , 39600 , 44000 , 49500 , 66000 , 79200 , 99000 , 132000 , 198000 and 396000.

Thus, there are a total of 144 factors of 396000

Factor Pairs of 396000 are combinations of two factors that when multiplied together equal 396000. There are many ways to calculate the factor pairs of 396000 .

One easy way is to list out the factors of 396000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 16 , 18 , 20 , 22 , 24 , 25 , 30 , 32 , 33 , 36 , 40 , 44 , 45 , 48 , 50 , 55 , 60 , 66 , 72 , 75 , 80 , 88 , 90 , 96 , 99 , 100 , 110 , 120 , 125 , 132 , 144 , 150 , 160 , 165 , 176 , 180 , 198 , 200 , 220 , 225 , 240 , 250 , 264 , 275 , 288 , 300 , 330 , 352 , 360 , 375 , 396 , 400 , 440 , 450 , 480 , 495 , 500 , 528 , 550 , 600 , 660 , 720 , 750 , 792 , 800 , 825 , 880 , 900 , 990 , 1000 , 1056 , 1100 , 1125 , 1200 , 1320 , 1375 , 1440 , 1500 , 1584 , 1650 , 1760 , 1800 , 1980 , 2000 , 2200 , 2250 , 2400 , 2475 , 2640 , 2750 , 3000 , 3168 , 3300 , 3600 , 3960 , 4000 , 4125 , 4400 , 4500 , 4950 , 5280 , 5500 , 6000 , 6600 , 7200 , 7920 , 8250 , 8800 , 9000 , 9900 , 11000 , 12000 , 12375 , 13200 , 15840 , 16500 , 18000 , 19800 , 22000 , 24750 , 26400 , 33000 , 36000 , 39600 , 44000 , 49500 , 66000 , 79200 , 99000 , 132000 , 198000 , 396000

Then, pair up the factors:
   (1,396000),(2,198000),(3,132000),(4,99000),(5,79200),(6,66000),(8,49500),(9,44000),(10,39600),(11,36000),(12,33000),(15,26400),(16,24750),(18,22000),(20,19800),(22,18000),(24,16500),(25,15840),(30,13200),(32,12375),(33,12000),(36,11000),(40,9900),(44,9000),(45,8800),(48,8250),(50,7920),(55,7200),(60,6600),(66,6000),(72,5500),(75,5280),(80,4950),(88,4500),(90,4400),(96,4125),(99,4000),(100,3960),(110,3600),(120,3300),(125,3168),(132,3000),(144,2750),(150,2640),(160,2475),(165,2400),(176,2250),(180,2200),(198,2000),(200,1980),(220,1800),(225,1760),(240,1650),(250,1584),(264,1500),(275,1440),(288,1375),(300,1320),(330,1200),(352,1125),(360,1100),(375,1056),(396,1000),(400,990),(440,900),(450,880),(480,825),(495,800),(500,792),(528,750),(550,720) and (600,660) These are the factor pairs of 396000 .

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 396000 using a factor tree, we would start by writing 396000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 396000 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11.

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 396000 using this method, we keep dividing until it gives a non-zero remainder.

    396000 ÷ 2 = 198000
    198000 ÷ 2 = 99000
    99000 ÷ 2 = 49500
    49500 ÷ 2 = 24750
    24750 ÷ 2 = 12375
    12375 ÷ 3 = 4125
    4125 ÷ 3 = 1375
    1375 ÷ 5 = 275
    275 ÷ 5 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So the prime factors of 396000 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11.

396000 in French

396000 in English