What are all the factors, the prime factorization, and factor pairs of 15500?

To find the factors of 15500, divide 15500 by each number starting with 1 and working up to 15500

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 15500 ?

To calculate the factors of 15500 , you can use the division method.

   1. Begin by dividing 15500 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 15500.

   3. Continue dividing 15500 by larger numbers until you find an odd number that does not divide evenly into 15500 .

   4. The numbers that divide evenly into 15500 are the factors of 15500 .

Now let us find how to calculate all the factors of Fifteen thousand five hundred :

    15500 ÷ 1 = 15500
    15500 ÷ 2 = 7750
    15500 ÷ 4 = 3875
    15500 ÷ 5 = 3100
    15500 ÷ 10 = 1550
    15500 ÷ 20 = 775
    15500 ÷ 25 = 620
    15500 ÷ 31 = 500
    15500 ÷ 50 = 310
    15500 ÷ 62 = 250
    15500 ÷ 100 = 155
    15500 ÷ 124 = 125
    15500 ÷ 124 = 125
    15500 ÷ 125 = 124
    15500 ÷ 155 = 100
    15500 ÷ 250 = 62
    15500 ÷ 310 = 50
    15500 ÷ 500 = 31
    15500 ÷ 620 = 25
    15500 ÷ 775 = 20
    15500 ÷ 1550 = 10
    15500 ÷ 3100 = 5
    15500 ÷ 3875 = 4
    15500 ÷ 7750 = 2
    15500 ÷ 15500 = 1

As you can see, the factors of 15500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 31 , 50 , 62 , 100 , 124 , 124 , 125 , 155 , 250 , 310 , 500 , 620 , 775 , 1550 , 3100 , 3875 , 7750 and 15500 .

How to Write Numbers in French Similar to 15500?

How many factors of 15500 are there ?

The factors of 15500 are the numbers that can evenly divide 15500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 31 , 50 , 62 , 100 , 124 , 124 , 125 , 155 , 250 , 310 , 500 , 620 , 775 , 1550 , 3100 , 3875 , 7750 and 15500.

Thus, there are a total of 25 factors of 15500

What are the factor pairs of 15500 ?

Factor Pairs of 15500 are combinations of two factors that when multiplied together equal 15500. There are many ways to calculate the factor pairs of 15500 .

One easy way is to list out the factors of 15500 :
   1 , 2 , 4 , 5 , 10 , 20 , 25 , 31 , 50 , 62 , 100 , 124 , 124 , 125 , 155 , 250 , 310 , 500 , 620 , 775 , 1550 , 3100 , 3875 , 7750 , 15500

Then, pair up the factors:
   (1,15500),(2,7750),(4,3875),(5,3100),(10,1550),(20,775),(25,620),(31,500),(50,310),(62,250),(100,155) and (124,125) These are the factor pairs of 15500 .

Prime Factorisation of 15500

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 15500 using a factor tree, we would start by writing 15500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 15500 would be 2 x 2 x 5 x 5 x 5 x 31.

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 15500 using this method, we keep dividing until it gives a non-zero remainder.

    15500 ÷ 2 = 7750
    7750 ÷ 2 = 3875
    3875 ÷ 5 = 775
    775 ÷ 5 = 155
    155 ÷ 5 = 31
    31 ÷ 31 = 1

So the prime factors of 15500 are 2 x 2 x 5 x 5 x 5 x 31.

Frequently Asked Questions on Factors

What are all the factors of 15500 ?

The factors of 15500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 31 , 50 , 62 , 100 , 124 , 124 , 125 , 155 , 250 , 310 , 500 , 620 , 775 , 1550 , 3100 , 3875 , 7750 and 15500.

What is the prime factorization of 15500 ?

The prime factorization of 15500 is 2 x 2 x 5 x 5 x 5 x 31 or 22 x 53 x 311, where 2 , 5 , 31 are the prime numbers .

What are the prime factors of 15500 ?

The prime factors of 15500 are 2 , 5 , 31 .

Is 15500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
15500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 31 , 50 , 62 , 100 , 124 , 124 , 125 , 155 , 250 , 310 , 500 , 620 , 775 , 1550 , 3100 , 3875 , 7750 and 15500.

Other conversions of the number 15500