What are all the factors, the prime factorization, and factor pairs of 13200?

To find the factors of 13200, divide 13200 by each number starting with 1 and working up to 13200

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 13200 ?

To calculate the factors of 13200 , you can use the division method.

   1. Begin by dividing 13200 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 13200.

   3. Continue dividing 13200 by larger numbers until you find an odd number that does not divide evenly into 13200 .

   4. The numbers that divide evenly into 13200 are the factors of 13200 .

Now let us find how to calculate all the factors of Thirteen thousand two hundred :

    13200 ÷ 1 = 13200
    13200 ÷ 2 = 6600
    13200 ÷ 3 = 4400
    13200 ÷ 4 = 3300
    13200 ÷ 5 = 2640
    13200 ÷ 6 = 2200
    13200 ÷ 8 = 1650
    13200 ÷ 10 = 1320
    13200 ÷ 11 = 1200
    13200 ÷ 12 = 1100
    13200 ÷ 15 = 880
    13200 ÷ 16 = 825
    13200 ÷ 20 = 660
    13200 ÷ 22 = 600
    13200 ÷ 24 = 550
    13200 ÷ 25 = 528
    13200 ÷ 30 = 440
    13200 ÷ 33 = 400
    13200 ÷ 40 = 330
    13200 ÷ 44 = 300
    13200 ÷ 48 = 275
    13200 ÷ 50 = 264
    13200 ÷ 55 = 240
    13200 ÷ 60 = 220
    13200 ÷ 66 = 200
    13200 ÷ 75 = 176
    13200 ÷ 80 = 165
    13200 ÷ 88 = 150
    13200 ÷ 100 = 132
    13200 ÷ 110 = 120
    13200 ÷ 120 = 110
    13200 ÷ 132 = 100
    13200 ÷ 150 = 88
    13200 ÷ 165 = 80
    13200 ÷ 176 = 75
    13200 ÷ 200 = 66
    13200 ÷ 220 = 60
    13200 ÷ 240 = 55
    13200 ÷ 264 = 50
    13200 ÷ 275 = 48
    13200 ÷ 300 = 44
    13200 ÷ 330 = 40
    13200 ÷ 400 = 33
    13200 ÷ 440 = 30
    13200 ÷ 528 = 25
    13200 ÷ 550 = 24
    13200 ÷ 600 = 22
    13200 ÷ 660 = 20
    13200 ÷ 825 = 16
    13200 ÷ 880 = 15
    13200 ÷ 1100 = 12
    13200 ÷ 1200 = 11
    13200 ÷ 1320 = 10
    13200 ÷ 1650 = 8
    13200 ÷ 2200 = 6
    13200 ÷ 2640 = 5
    13200 ÷ 3300 = 4
    13200 ÷ 4400 = 3
    13200 ÷ 6600 = 2
    13200 ÷ 13200 = 1

As you can see, the factors of 13200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 16 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 48 , 50 , 55 , 60 , 66 , 75 , 80 , 88 , 100 , 110 , 120 , 132 , 150 , 165 , 176 , 200 , 220 , 240 , 264 , 275 , 300 , 330 , 400 , 440 , 528 , 550 , 600 , 660 , 825 , 880 , 1100 , 1200 , 1320 , 1650 , 2200 , 2640 , 3300 , 4400 , 6600 and 13200 .

How to Write Numbers in French Similar to 13200?

How many factors of 13200 are there ?

The factors of 13200 are the numbers that can evenly divide 13200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 16 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 48 , 50 , 55 , 60 , 66 , 75 , 80 , 88 , 100 , 110 , 120 , 132 , 150 , 165 , 176 , 200 , 220 , 240 , 264 , 275 , 300 , 330 , 400 , 440 , 528 , 550 , 600 , 660 , 825 , 880 , 1100 , 1200 , 1320 , 1650 , 2200 , 2640 , 3300 , 4400 , 6600 and 13200.

Thus, there are a total of 60 factors of 13200

What are the factor pairs of 13200 ?

Factor Pairs of 13200 are combinations of two factors that when multiplied together equal 13200. There are many ways to calculate the factor pairs of 13200 .

One easy way is to list out the factors of 13200 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 16 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 48 , 50 , 55 , 60 , 66 , 75 , 80 , 88 , 100 , 110 , 120 , 132 , 150 , 165 , 176 , 200 , 220 , 240 , 264 , 275 , 300 , 330 , 400 , 440 , 528 , 550 , 600 , 660 , 825 , 880 , 1100 , 1200 , 1320 , 1650 , 2200 , 2640 , 3300 , 4400 , 6600 , 13200

Then, pair up the factors:
   (1,13200),(2,6600),(3,4400),(4,3300),(5,2640),(6,2200),(8,1650),(10,1320),(11,1200),(12,1100),(15,880),(16,825),(20,660),(22,600),(24,550),(25,528),(30,440),(33,400),(40,330),(44,300),(48,275),(50,264),(55,240),(60,220),(66,200),(75,176),(80,165),(88,150),(100,132) and (110,120) These are the factor pairs of 13200 .

Prime Factorisation of 13200

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 13200 using a factor tree, we would start by writing 13200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 13200 would be 2 x 2 x 2 x 2 x 3 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 13200 using this method, we keep dividing until it gives a non-zero remainder.

    13200 ÷ 2 = 6600
    6600 ÷ 2 = 3300
    3300 ÷ 2 = 1650
    1650 ÷ 2 = 825
    825 ÷ 3 = 275
    275 ÷ 5 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So the prime factors of 13200 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11.

Frequently Asked Questions on Factors

What are all the factors of 13200 ?

The factors of 13200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 16 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 48 , 50 , 55 , 60 , 66 , 75 , 80 , 88 , 100 , 110 , 120 , 132 , 150 , 165 , 176 , 200 , 220 , 240 , 264 , 275 , 300 , 330 , 400 , 440 , 528 , 550 , 600 , 660 , 825 , 880 , 1100 , 1200 , 1320 , 1650 , 2200 , 2640 , 3300 , 4400 , 6600 and 13200.

What is the prime factorization of 13200 ?

The prime factorization of 13200 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 or 24 x 31 x 52 x 111, where 2 , 3 , 5 , 11 are the prime numbers .

What are the prime factors of 13200 ?

The prime factors of 13200 are 2 , 3 , 5 , 11 .

Is 13200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
13200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 16 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 48 , 50 , 55 , 60 , 66 , 75 , 80 , 88 , 100 , 110 , 120 , 132 , 150 , 165 , 176 , 200 , 220 , 240 , 264 , 275 , 300 , 330 , 400 , 440 , 528 , 550 , 600 , 660 , 825 , 880 , 1100 , 1200 , 1320 , 1650 , 2200 , 2640 , 3300 , 4400 , 6600 and 13200.

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