What are all the factors, the prime factorization, and factor pairs of 48900?

To find the factors of 48900, divide 48900 by each number starting with 1 and working up to 48900

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 48900 ?

To calculate the factors of 48900 , you can use the division method.

   1. Begin by dividing 48900 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 48900.

   3. Continue dividing 48900 by larger numbers until you find an odd number that does not divide evenly into 48900 .

   4. The numbers that divide evenly into 48900 are the factors of 48900 .

Now let us find how to calculate all the factors of Forty-eight thousand nine hundred :

    48900 ÷ 1 = 48900
    48900 ÷ 2 = 24450
    48900 ÷ 3 = 16300
    48900 ÷ 4 = 12225
    48900 ÷ 5 = 9780
    48900 ÷ 6 = 8150
    48900 ÷ 10 = 4890
    48900 ÷ 12 = 4075
    48900 ÷ 15 = 3260
    48900 ÷ 20 = 2445
    48900 ÷ 25 = 1956
    48900 ÷ 30 = 1630
    48900 ÷ 50 = 978
    48900 ÷ 60 = 815
    48900 ÷ 75 = 652
    48900 ÷ 100 = 489
    48900 ÷ 150 = 326
    48900 ÷ 163 = 300
    48900 ÷ 300 = 163
    48900 ÷ 326 = 150
    48900 ÷ 489 = 100
    48900 ÷ 652 = 75
    48900 ÷ 815 = 60
    48900 ÷ 978 = 50
    48900 ÷ 1630 = 30
    48900 ÷ 1956 = 25
    48900 ÷ 2445 = 20
    48900 ÷ 3260 = 15
    48900 ÷ 4075 = 12
    48900 ÷ 4890 = 10
    48900 ÷ 8150 = 6
    48900 ÷ 9780 = 5
    48900 ÷ 12225 = 4
    48900 ÷ 16300 = 3
    48900 ÷ 24450 = 2
    48900 ÷ 48900 = 1

As you can see, the factors of 48900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 163 , 300 , 326 , 489 , 652 , 815 , 978 , 1630 , 1956 , 2445 , 3260 , 4075 , 4890 , 8150 , 9780 , 12225 , 16300 , 24450 and 48900 .

How to Write Numbers in French Similar to 48900?

How many factors of 48900 are there ?

The factors of 48900 are the numbers that can evenly divide 48900 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 163 , 300 , 326 , 489 , 652 , 815 , 978 , 1630 , 1956 , 2445 , 3260 , 4075 , 4890 , 8150 , 9780 , 12225 , 16300 , 24450 and 48900.

Thus, there are a total of 36 factors of 48900

What are the factor pairs of 48900 ?

Factor Pairs of 48900 are combinations of two factors that when multiplied together equal 48900. There are many ways to calculate the factor pairs of 48900 .

One easy way is to list out the factors of 48900 :
   1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 163 , 300 , 326 , 489 , 652 , 815 , 978 , 1630 , 1956 , 2445 , 3260 , 4075 , 4890 , 8150 , 9780 , 12225 , 16300 , 24450 , 48900

Then, pair up the factors:
   (1,48900),(2,24450),(3,16300),(4,12225),(5,9780),(6,8150),(10,4890),(12,4075),(15,3260),(20,2445),(25,1956),(30,1630),(50,978),(60,815),(75,652),(100,489),(150,326) and (163,300) These are the factor pairs of 48900 .

Prime Factorisation of 48900

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 48900 using a factor tree, we would start by writing 48900 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 48900 would be 2 x 2 x 3 x 5 x 5 x 163.

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 48900 using this method, we keep dividing until it gives a non-zero remainder.

    48900 ÷ 2 = 24450
    24450 ÷ 2 = 12225
    12225 ÷ 3 = 4075
    4075 ÷ 5 = 815
    815 ÷ 5 = 163
    163 ÷ 163 = 1

So the prime factors of 48900 are 2 x 2 x 3 x 5 x 5 x 163.

Frequently Asked Questions on Factors

What are all the factors of 48900 ?

The factors of 48900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 163 , 300 , 326 , 489 , 652 , 815 , 978 , 1630 , 1956 , 2445 , 3260 , 4075 , 4890 , 8150 , 9780 , 12225 , 16300 , 24450 and 48900.

What is the prime factorization of 48900 ?

The prime factorization of 48900 is 2 x 2 x 3 x 5 x 5 x 163 or 22 x 31 x 52 x 1631, where 2 , 3 , 5 , 163 are the prime numbers .

What are the prime factors of 48900 ?

The prime factors of 48900 are 2 , 3 , 5 , 163 .

Is 48900 a prime number ?

A prime number is a number that has only two factors 1 and itself.
48900 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 163 , 300 , 326 , 489 , 652 , 815 , 978 , 1630 , 1956 , 2445 , 3260 , 4075 , 4890 , 8150 , 9780 , 12225 , 16300 , 24450 and 48900.

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