What Are The Factors Of 67200 - Factor Pairs & Prime Factorization

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 67200 ?

To calculate the factors of 67200 , you can use the division method.

1. Begin by dividing 67200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 67200.

3. Continue dividing 67200 by larger numbers until you find an odd number that does not divide evenly into 67200 .

4. The numbers that divide evenly into 67200 are the factors of 67200 .

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

    67200 ÷ 1 = 67200
    67200 ÷ 2 = 33600
    67200 ÷ 3 = 22400
    67200 ÷ 4 = 16800
    67200 ÷ 5 = 13440
    67200 ÷ 6 = 11200
    67200 ÷ 7 = 9600
    67200 ÷ 8 = 8400
    67200 ÷ 10 = 6720
    67200 ÷ 12 = 5600
    67200 ÷ 14 = 4800
    67200 ÷ 15 = 4480
    67200 ÷ 16 = 4200
    67200 ÷ 20 = 3360
    67200 ÷ 21 = 3200
    67200 ÷ 24 = 2800
    67200 ÷ 25 = 2688
    67200 ÷ 28 = 2400
    67200 ÷ 30 = 2240
    67200 ÷ 32 = 2100
    67200 ÷ 35 = 1920
    67200 ÷ 40 = 1680
    67200 ÷ 42 = 1600
    67200 ÷ 48 = 1400
    67200 ÷ 50 = 1344
    67200 ÷ 56 = 1200
    67200 ÷ 60 = 1120
    67200 ÷ 64 = 1050
    67200 ÷ 70 = 960
    67200 ÷ 75 = 896
    67200 ÷ 80 = 840
    67200 ÷ 84 = 800
    67200 ÷ 96 = 700
    67200 ÷ 100 = 672
    67200 ÷ 105 = 640
    67200 ÷ 112 = 600
    67200 ÷ 120 = 560
    67200 ÷ 128 = 525
    67200 ÷ 140 = 480
    67200 ÷ 150 = 448
    67200 ÷ 160 = 420
    67200 ÷ 168 = 400
    67200 ÷ 175 = 384
    67200 ÷ 192 = 350
    67200 ÷ 200 = 336
    67200 ÷ 210 = 320
    67200 ÷ 224 = 300
    67200 ÷ 240 = 280
    67200 ÷ 280 = 240
    67200 ÷ 300 = 224
    67200 ÷ 320 = 210
    67200 ÷ 336 = 200
    67200 ÷ 350 = 192
    67200 ÷ 384 = 175
    67200 ÷ 400 = 168
    67200 ÷ 420 = 160
    67200 ÷ 448 = 150
    67200 ÷ 480 = 140
    67200 ÷ 525 = 128
    67200 ÷ 560 = 120
    67200 ÷ 600 = 112
    67200 ÷ 640 = 105
    67200 ÷ 672 = 100
    67200 ÷ 700 = 96
    67200 ÷ 800 = 84
    67200 ÷ 840 = 80
    67200 ÷ 896 = 75
    67200 ÷ 960 = 70
    67200 ÷ 1050 = 64
    67200 ÷ 1120 = 60
    67200 ÷ 1200 = 56
    67200 ÷ 1344 = 50
    67200 ÷ 1400 = 48
    67200 ÷ 1600 = 42
    67200 ÷ 1680 = 40
    67200 ÷ 1920 = 35
    67200 ÷ 2100 = 32
    67200 ÷ 2240 = 30
    67200 ÷ 2400 = 28
    67200 ÷ 2688 = 25
    67200 ÷ 2800 = 24
    67200 ÷ 3200 = 21
    67200 ÷ 3360 = 20
    67200 ÷ 4200 = 16
    67200 ÷ 4480 = 15
    67200 ÷ 4800 = 14
    67200 ÷ 5600 = 12
    67200 ÷ 6720 = 10
    67200 ÷ 8400 = 8
    67200 ÷ 9600 = 7
    67200 ÷ 11200 = 6
    67200 ÷ 13440 = 5
    67200 ÷ 16800 = 4
    67200 ÷ 22400 = 3
    67200 ÷ 33600 = 2
    67200 ÷ 67200 = 1

As you can see, the factors of 67200 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 128 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 280 , 300 , 320 , 336 , 350 , 384 , 400 , 420 , 448 , 480 , 525 , 560 , 600 , 640 , 672 , 700 , 800 , 840 , 896 , 960 , 1050 , 1120 , 1200 , 1344 , 1400 , 1600 , 1680 , 1920 , 2100 , 2240 , 2400 , 2688 , 2800 , 3200 , 3360 , 4200 , 4480 , 4800 , 5600 , 6720 , 8400 , 9600 , 11200 , 13440 , 16800 , 22400 , 33600 and 67200 .

How many factors of 67200 are there ?

The factors of 67200 are the numbers that can evenly divide 67200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 128 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 280 , 300 , 320 , 336 , 350 , 384 , 400 , 420 , 448 , 480 , 525 , 560 , 600 , 640 , 672 , 700 , 800 , 840 , 896 , 960 , 1050 , 1120 , 1200 , 1344 , 1400 , 1600 , 1680 , 1920 , 2100 , 2240 , 2400 , 2688 , 2800 , 3200 , 3360 , 4200 , 4480 , 4800 , 5600 , 6720 , 8400 , 9600 , 11200 , 13440 , 16800 , 22400 , 33600 and 67200.

Thus, there are a total of 96 factors of 67200

What are the factor pairs of 67200 ?

Factor Pairs of 67200 are combinations of two factors that when multiplied together equal 67200. There are many ways to calculate the factor pairs of 67200 .

One easy way is to list out the factors of 67200 :
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 128 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 280 , 300 , 320 , 336 , 350 , 384 , 400 , 420 , 448 , 480 , 525 , 560 , 600 , 640 , 672 , 700 , 800 , 840 , 896 , 960 , 1050 , 1120 , 1200 , 1344 , 1400 , 1600 , 1680 , 1920 , 2100 , 2240 , 2400 , 2688 , 2800 , 3200 , 3360 , 4200 , 4480 , 4800 , 5600 , 6720 , 8400 , 9600 , 11200 , 13440 , 16800 , 22400 , 33600 , 67200

Then, pair up the factors:
(1,67200),(2,33600),(3,22400),(4,16800),(5,13440),(6,11200),(7,9600),(8,8400),(10,6720),(12,5600),(14,4800),(15,4480),(16,4200),(20,3360),(21,3200),(24,2800),(25,2688),(28,2400),(30,2240),(32,2100),(35,1920),(40,1680),(42,1600),(48,1400),(50,1344),(56,1200),(60,1120),(64,1050),(70,960),(75,896),(80,840),(84,800),(96,700),(100,672),(105,640),(112,600),(120,560),(128,525),(140,480),(150,448),(160,420),(168,400),(175,384),(192,350),(200,336),(210,320),(224,300) and (240,280) These are the factor pairs of 67200 .

Prime Factorisation of 67200

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 67200 using a factor tree, we would start by writing 67200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 67200 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7.

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 67200 using this method, we keep dividing until it gives a non-zero remainder.

    67200 ÷ 2 = 33600
    33600 ÷ 2 = 16800
    16800 ÷ 2 = 8400
    8400 ÷ 2 = 4200
    4200 ÷ 2 = 2100
    2100 ÷ 2 = 1050
    1050 ÷ 2 = 525
    525 ÷ 3 = 175
    175 ÷ 5 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So the prime factors of 67200 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7.

Frequently Asked Questions on Factors

What are all the factors of 67200 ?

The factors of 67200 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 128 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 280 , 300 , 320 , 336 , 350 , 384 , 400 , 420 , 448 , 480 , 525 , 560 , 600 , 640 , 672 , 700 , 800 , 840 , 896 , 960 , 1050 , 1120 , 1200 , 1344 , 1400 , 1600 , 1680 , 1920 , 2100 , 2240 , 2400 , 2688 , 2800 , 3200 , 3360 , 4200 , 4480 , 4800 , 5600 , 6720 , 8400 , 9600 , 11200 , 13440 , 16800 , 22400 , 33600 and 67200.

What is the prime factorization of 67200 ?

The prime factorization of 67200 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 or 2⁷ x 3¹ x 5² x 7¹, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 67200 ?

The prime factors of 67200 are 2 , 3 , 5 , 7 .

Is 67200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
67200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 128 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 280 , 300 , 320 , 336 , 350 , 384 , 400 , 420 , 448 , 480 , 525 , 560 , 600 , 640 , 672 , 700 , 800 , 840 , 896 , 960 , 1050 , 1120 , 1200 , 1344 , 1400 , 1600 , 1680 , 1920 , 2100 , 2240 , 2400 , 2688 , 2800 , 3200 , 3360 , 4200 , 4480 , 4800 , 5600 , 6720 , 8400 , 9600 , 11200 , 13440 , 16800 , 22400 , 33600 and 67200.