What are all the factors, the prime factorization, and factor pairs of 364000?

To find the factors of 364000, divide 364000 by each number starting with 1 and working up to 364000

What is a factor in math ?

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.

List all of the factors of 364000 ?

To calculate the factors of 364000 , you can use the division method.

   1. Begin by dividing 364000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 364000.

   3. Continue dividing 364000 by larger numbers until you find an odd number that does not divide evenly into 364000 .

   4. The numbers that divide evenly into 364000 are the factors of 364000 .

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

    364000 ÷ 1 = 364000
    364000 ÷ 2 = 182000
    364000 ÷ 4 = 91000
    364000 ÷ 5 = 72800
    364000 ÷ 7 = 52000
    364000 ÷ 8 = 45500
    364000 ÷ 10 = 36400
    364000 ÷ 13 = 28000
    364000 ÷ 14 = 26000
    364000 ÷ 16 = 22750
    364000 ÷ 20 = 18200
    364000 ÷ 25 = 14560
    364000 ÷ 26 = 14000
    364000 ÷ 28 = 13000
    364000 ÷ 32 = 11375
    364000 ÷ 35 = 10400
    364000 ÷ 40 = 9100
    364000 ÷ 50 = 7280
    364000 ÷ 52 = 7000
    364000 ÷ 56 = 6500
    364000 ÷ 65 = 5600
    364000 ÷ 70 = 5200
    364000 ÷ 80 = 4550
    364000 ÷ 91 = 4000
    364000 ÷ 100 = 3640
    364000 ÷ 104 = 3500
    364000 ÷ 112 = 3250
    364000 ÷ 125 = 2912
    364000 ÷ 130 = 2800
    364000 ÷ 140 = 2600
    364000 ÷ 160 = 2275
    364000 ÷ 175 = 2080
    364000 ÷ 182 = 2000
    364000 ÷ 200 = 1820
    364000 ÷ 208 = 1750
    364000 ÷ 224 = 1625
    364000 ÷ 250 = 1456
    364000 ÷ 260 = 1400
    364000 ÷ 280 = 1300
    364000 ÷ 325 = 1120
    364000 ÷ 350 = 1040
    364000 ÷ 364 = 1000
    364000 ÷ 400 = 910
    364000 ÷ 416 = 875
    364000 ÷ 455 = 800
    364000 ÷ 500 = 728
    364000 ÷ 520 = 700
    364000 ÷ 560 = 650
    364000 ÷ 650 = 560
    364000 ÷ 700 = 520
    364000 ÷ 728 = 500
    364000 ÷ 800 = 455
    364000 ÷ 875 = 416
    364000 ÷ 910 = 400
    364000 ÷ 1000 = 364
    364000 ÷ 1040 = 350
    364000 ÷ 1120 = 325
    364000 ÷ 1300 = 280
    364000 ÷ 1400 = 260
    364000 ÷ 1456 = 250
    364000 ÷ 1625 = 224
    364000 ÷ 1750 = 208
    364000 ÷ 1820 = 200
    364000 ÷ 2000 = 182
    364000 ÷ 2080 = 175
    364000 ÷ 2275 = 160
    364000 ÷ 2600 = 140
    364000 ÷ 2800 = 130
    364000 ÷ 2912 = 125
    364000 ÷ 3250 = 112
    364000 ÷ 3500 = 104
    364000 ÷ 3640 = 100
    364000 ÷ 4000 = 91
    364000 ÷ 4550 = 80
    364000 ÷ 5200 = 70
    364000 ÷ 5600 = 65
    364000 ÷ 6500 = 56
    364000 ÷ 7000 = 52
    364000 ÷ 7280 = 50
    364000 ÷ 9100 = 40
    364000 ÷ 10400 = 35
    364000 ÷ 11375 = 32
    364000 ÷ 13000 = 28
    364000 ÷ 14000 = 26
    364000 ÷ 14560 = 25
    364000 ÷ 18200 = 20
    364000 ÷ 22750 = 16
    364000 ÷ 26000 = 14
    364000 ÷ 28000 = 13
    364000 ÷ 36400 = 10
    364000 ÷ 45500 = 8
    364000 ÷ 52000 = 7
    364000 ÷ 72800 = 5
    364000 ÷ 91000 = 4
    364000 ÷ 182000 = 2
    364000 ÷ 364000 = 1

As you can see, the factors of 364000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 32 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 125 , 130 , 140 , 160 , 175 , 182 , 200 , 208 , 224 , 250 , 260 , 280 , 325 , 350 , 364 , 400 , 416 , 455 , 500 , 520 , 560 , 650 , 700 , 728 , 800 , 875 , 910 , 1000 , 1040 , 1120 , 1300 , 1400 , 1456 , 1625 , 1750 , 1820 , 2000 , 2080 , 2275 , 2600 , 2800 , 2912 , 3250 , 3500 , 3640 , 4000 , 4550 , 5200 , 5600 , 6500 , 7000 , 7280 , 9100 , 10400 , 11375 , 13000 , 14000 , 14560 , 18200 , 22750 , 26000 , 28000 , 36400 , 45500 , 52000 , 72800 , 91000 , 182000 and 364000 .

How to Write Numbers in French Similar to 364000?

How many factors of 364000 are there ?

The factors of 364000 are the numbers that can evenly divide 364000 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 32 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 125 , 130 , 140 , 160 , 175 , 182 , 200 , 208 , 224 , 250 , 260 , 280 , 325 , 350 , 364 , 400 , 416 , 455 , 500 , 520 , 560 , 650 , 700 , 728 , 800 , 875 , 910 , 1000 , 1040 , 1120 , 1300 , 1400 , 1456 , 1625 , 1750 , 1820 , 2000 , 2080 , 2275 , 2600 , 2800 , 2912 , 3250 , 3500 , 3640 , 4000 , 4550 , 5200 , 5600 , 6500 , 7000 , 7280 , 9100 , 10400 , 11375 , 13000 , 14000 , 14560 , 18200 , 22750 , 26000 , 28000 , 36400 , 45500 , 52000 , 72800 , 91000 , 182000 and 364000.

Thus, there are a total of 96 factors of 364000

What are the factor pairs of 364000 ?

Factor Pairs of 364000 are combinations of two factors that when multiplied together equal 364000. There are many ways to calculate the factor pairs of 364000 .

One easy way is to list out the factors of 364000 :
   1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 32 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 125 , 130 , 140 , 160 , 175 , 182 , 200 , 208 , 224 , 250 , 260 , 280 , 325 , 350 , 364 , 400 , 416 , 455 , 500 , 520 , 560 , 650 , 700 , 728 , 800 , 875 , 910 , 1000 , 1040 , 1120 , 1300 , 1400 , 1456 , 1625 , 1750 , 1820 , 2000 , 2080 , 2275 , 2600 , 2800 , 2912 , 3250 , 3500 , 3640 , 4000 , 4550 , 5200 , 5600 , 6500 , 7000 , 7280 , 9100 , 10400 , 11375 , 13000 , 14000 , 14560 , 18200 , 22750 , 26000 , 28000 , 36400 , 45500 , 52000 , 72800 , 91000 , 182000 , 364000

Then, pair up the factors:
   (1,364000),(2,182000),(4,91000),(5,72800),(7,52000),(8,45500),(10,36400),(13,28000),(14,26000),(16,22750),(20,18200),(25,14560),(26,14000),(28,13000),(32,11375),(35,10400),(40,9100),(50,7280),(52,7000),(56,6500),(65,5600),(70,5200),(80,4550),(91,4000),(100,3640),(104,3500),(112,3250),(125,2912),(130,2800),(140,2600),(160,2275),(175,2080),(182,2000),(200,1820),(208,1750),(224,1625),(250,1456),(260,1400),(280,1300),(325,1120),(350,1040),(364,1000),(400,910),(416,875),(455,800),(500,728),(520,700) and (560,650) These are the factor pairs of 364000 .

Prime Factorisation of 364000

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 364000 using a factor tree, we would start by writing 364000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 364000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 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 364000 using this method, we keep dividing until it gives a non-zero remainder.

    364000 ÷ 2 = 182000
    182000 ÷ 2 = 91000
    91000 ÷ 2 = 45500
    45500 ÷ 2 = 22750
    22750 ÷ 2 = 11375
    11375 ÷ 5 = 2275
    2275 ÷ 5 = 455
    455 ÷ 5 = 91
    91 ÷ 7 = 13
    13 ÷ 13 = 1

So the prime factors of 364000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 13.

Frequently Asked Questions on Factors

What are all the factors of 364000 ?

The factors of 364000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 32 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 125 , 130 , 140 , 160 , 175 , 182 , 200 , 208 , 224 , 250 , 260 , 280 , 325 , 350 , 364 , 400 , 416 , 455 , 500 , 520 , 560 , 650 , 700 , 728 , 800 , 875 , 910 , 1000 , 1040 , 1120 , 1300 , 1400 , 1456 , 1625 , 1750 , 1820 , 2000 , 2080 , 2275 , 2600 , 2800 , 2912 , 3250 , 3500 , 3640 , 4000 , 4550 , 5200 , 5600 , 6500 , 7000 , 7280 , 9100 , 10400 , 11375 , 13000 , 14000 , 14560 , 18200 , 22750 , 26000 , 28000 , 36400 , 45500 , 52000 , 72800 , 91000 , 182000 and 364000.

What is the prime factorization of 364000 ?

The prime factorization of 364000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 13 or 25 x 53 x 71 x 131, where 2 , 5 , 7 , 13 are the prime numbers .

What are the prime factors of 364000 ?

The prime factors of 364000 are 2 , 5 , 7 , 13 .

Is 364000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
364000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 32 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 125 , 130 , 140 , 160 , 175 , 182 , 200 , 208 , 224 , 250 , 260 , 280 , 325 , 350 , 364 , 400 , 416 , 455 , 500 , 520 , 560 , 650 , 700 , 728 , 800 , 875 , 910 , 1000 , 1040 , 1120 , 1300 , 1400 , 1456 , 1625 , 1750 , 1820 , 2000 , 2080 , 2275 , 2600 , 2800 , 2912 , 3250 , 3500 , 3640 , 4000 , 4550 , 5200 , 5600 , 6500 , 7000 , 7280 , 9100 , 10400 , 11375 , 13000 , 14000 , 14560 , 18200 , 22750 , 26000 , 28000 , 36400 , 45500 , 52000 , 72800 , 91000 , 182000 and 364000.

Other conversions of the number 364000