What are all the factors, the prime factorization, and factor pairs of 8400?

To find the factors of 8400, divide 8400 by each number starting with 1 and working up to 8400

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 8400 ?

To calculate the factors of 8400 , you can use the division method.

   1. Begin by dividing 8400 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 8400.

   3. Continue dividing 8400 by larger numbers until you find an odd number that does not divide evenly into 8400 .

   4. The numbers that divide evenly into 8400 are the factors of 8400 .

Now let us find how to calculate all the factors of Eight thousand four hundred :

    8400 ÷ 1 = 8400
    8400 ÷ 2 = 4200
    8400 ÷ 3 = 2800
    8400 ÷ 4 = 2100
    8400 ÷ 5 = 1680
    8400 ÷ 6 = 1400
    8400 ÷ 7 = 1200
    8400 ÷ 8 = 1050
    8400 ÷ 10 = 840
    8400 ÷ 12 = 700
    8400 ÷ 14 = 600
    8400 ÷ 15 = 560
    8400 ÷ 16 = 525
    8400 ÷ 20 = 420
    8400 ÷ 21 = 400
    8400 ÷ 24 = 350
    8400 ÷ 25 = 336
    8400 ÷ 28 = 300
    8400 ÷ 30 = 280
    8400 ÷ 35 = 240
    8400 ÷ 40 = 210
    8400 ÷ 42 = 200
    8400 ÷ 48 = 175
    8400 ÷ 50 = 168
    8400 ÷ 56 = 150
    8400 ÷ 60 = 140
    8400 ÷ 70 = 120
    8400 ÷ 75 = 112
    8400 ÷ 80 = 105
    8400 ÷ 84 = 100
    8400 ÷ 100 = 84
    8400 ÷ 105 = 80
    8400 ÷ 112 = 75
    8400 ÷ 120 = 70
    8400 ÷ 140 = 60
    8400 ÷ 150 = 56
    8400 ÷ 168 = 50
    8400 ÷ 175 = 48
    8400 ÷ 200 = 42
    8400 ÷ 210 = 40
    8400 ÷ 240 = 35
    8400 ÷ 280 = 30
    8400 ÷ 300 = 28
    8400 ÷ 336 = 25
    8400 ÷ 350 = 24
    8400 ÷ 400 = 21
    8400 ÷ 420 = 20
    8400 ÷ 525 = 16
    8400 ÷ 560 = 15
    8400 ÷ 600 = 14
    8400 ÷ 700 = 12
    8400 ÷ 840 = 10
    8400 ÷ 1050 = 8
    8400 ÷ 1200 = 7
    8400 ÷ 1400 = 6
    8400 ÷ 1680 = 5
    8400 ÷ 2100 = 4
    8400 ÷ 2800 = 3
    8400 ÷ 4200 = 2
    8400 ÷ 8400 = 1

As you can see, the factors of 8400 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 and 8400 .

How to Write Numbers in French Similar to 8400?

How many factors of 8400 are there ?

The factors of 8400 are the numbers that can evenly divide 8400 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 and 8400.

Thus, there are a total of 60 factors of 8400

What are the factor pairs of 8400 ?

Factor Pairs of 8400 are combinations of two factors that when multiplied together equal 8400. There are many ways to calculate the factor pairs of 8400 .

One easy way is to list out the factors of 8400 :
   1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 , 8400

Then, pair up the factors:
   (1,8400),(2,4200),(3,2800),(4,2100),(5,1680),(6,1400),(7,1200),(8,1050),(10,840),(12,700),(14,600),(15,560),(16,525),(20,420),(21,400),(24,350),(25,336),(28,300),(30,280),(35,240),(40,210),(42,200),(48,175),(50,168),(56,150),(60,140),(70,120),(75,112),(80,105) and (84,100) These are the factor pairs of 8400 .

Prime Factorisation of 8400

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 8400 using a factor tree, we would start by writing 8400 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 8400 would be 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 8400 using this method, we keep dividing until it gives a non-zero remainder.

    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 8400 are 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 8400 ?

The factors of 8400 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 and 8400.

What is the prime factorization of 8400 ?

The prime factorization of 8400 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 or 24 x 31 x 52 x 71, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 8400 ?

The prime factors of 8400 are 2 , 3 , 5 , 7 .

Is 8400 a prime number ?

A prime number is a number that has only two factors 1 and itself.
8400 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 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 280 , 300 , 336 , 350 , 400 , 420 , 525 , 560 , 600 , 700 , 840 , 1050 , 1200 , 1400 , 1680 , 2100 , 2800 , 4200 and 8400.

Other conversions of the number 8400