What are all the factors, the prime factorization, and factor pairs of 736000?

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 736000 , you can use the division method.

   1. Begin by dividing 736000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 736000.

   3. Continue dividing 736000 by larger numbers until you find an odd number that does not divide evenly into 736000 .

   4. The numbers that divide evenly into 736000 are the factors of 736000 .

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

    736000 ÷ 1 = 736000
    736000 ÷ 2 = 368000
    736000 ÷ 4 = 184000
    736000 ÷ 5 = 147200
    736000 ÷ 8 = 92000
    736000 ÷ 10 = 73600
    736000 ÷ 16 = 46000
    736000 ÷ 20 = 36800
    736000 ÷ 23 = 32000
    736000 ÷ 25 = 29440
    736000 ÷ 32 = 23000
    736000 ÷ 40 = 18400
    736000 ÷ 46 = 16000
    736000 ÷ 50 = 14720
    736000 ÷ 64 = 11500
    736000 ÷ 80 = 9200
    736000 ÷ 92 = 8000
    736000 ÷ 100 = 7360
    736000 ÷ 115 = 6400
    736000 ÷ 125 = 5888
    736000 ÷ 128 = 5750
    736000 ÷ 160 = 4600
    736000 ÷ 184 = 4000
    736000 ÷ 200 = 3680
    736000 ÷ 230 = 3200
    736000 ÷ 250 = 2944
    736000 ÷ 256 = 2875
    736000 ÷ 320 = 2300
    736000 ÷ 368 = 2000
    736000 ÷ 400 = 1840
    736000 ÷ 460 = 1600
    736000 ÷ 500 = 1472
    736000 ÷ 575 = 1280
    736000 ÷ 640 = 1150
    736000 ÷ 736 = 1000
    736000 ÷ 800 = 920
    736000 ÷ 920 = 800
    736000 ÷ 1000 = 736
    736000 ÷ 1150 = 640
    736000 ÷ 1280 = 575
    736000 ÷ 1472 = 500
    736000 ÷ 1600 = 460
    736000 ÷ 1840 = 400
    736000 ÷ 2000 = 368
    736000 ÷ 2300 = 320
    736000 ÷ 2875 = 256
    736000 ÷ 2944 = 250
    736000 ÷ 3200 = 230
    736000 ÷ 3680 = 200
    736000 ÷ 4000 = 184
    736000 ÷ 4600 = 160
    736000 ÷ 5750 = 128
    736000 ÷ 5888 = 125
    736000 ÷ 6400 = 115
    736000 ÷ 7360 = 100
    736000 ÷ 8000 = 92
    736000 ÷ 9200 = 80
    736000 ÷ 11500 = 64
    736000 ÷ 14720 = 50
    736000 ÷ 16000 = 46
    736000 ÷ 18400 = 40
    736000 ÷ 23000 = 32
    736000 ÷ 29440 = 25
    736000 ÷ 32000 = 23
    736000 ÷ 36800 = 20
    736000 ÷ 46000 = 16
    736000 ÷ 73600 = 10
    736000 ÷ 92000 = 8
    736000 ÷ 147200 = 5
    736000 ÷ 184000 = 4
    736000 ÷ 368000 = 2
    736000 ÷ 736000 = 1

As you can see, the factors of 736000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000 .

The factors of 736000 are the numbers that can evenly divide 736000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000.

Thus, there are a total of 72 factors of 736000

Factor Pairs of 736000 are combinations of two factors that when multiplied together equal 736000. There are many ways to calculate the factor pairs of 736000 .

One easy way is to list out the factors of 736000 :
   1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 , 736000

Then, pair up the factors:
   (1,736000),(2,368000),(4,184000),(5,147200),(8,92000),(10,73600),(16,46000),(20,36800),(23,32000),(25,29440),(32,23000),(40,18400),(46,16000),(50,14720),(64,11500),(80,9200),(92,8000),(100,7360),(115,6400),(125,5888),(128,5750),(160,4600),(184,4000),(200,3680),(230,3200),(250,2944),(256,2875),(320,2300),(368,2000),(400,1840),(460,1600),(500,1472),(575,1280),(640,1150),(736,1000) and (800,920) These are the factor pairs of 736000 .

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 736000 using a factor tree, we would start by writing 736000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 736000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23.

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 736000 using this method, we keep dividing until it gives a non-zero remainder.

    736000 ÷ 2 = 368000
    368000 ÷ 2 = 184000
    184000 ÷ 2 = 92000
    92000 ÷ 2 = 46000
    46000 ÷ 2 = 23000
    23000 ÷ 2 = 11500
    11500 ÷ 2 = 5750
    5750 ÷ 2 = 2875
    2875 ÷ 5 = 575
    575 ÷ 5 = 115
    115 ÷ 5 = 23
    23 ÷ 23 = 1

So the prime factors of 736000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23.

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