What are all the factors, the prime factorization, and factor pairs of 6500?

To find the factors of 6500, divide 6500 by each number starting with 1 and working up to 6500

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 6500 ?

To calculate the factors of 6500 , you can use the division method.

   1. Begin by dividing 6500 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 6500.

   3. Continue dividing 6500 by larger numbers until you find an odd number that does not divide evenly into 6500 .

   4. The numbers that divide evenly into 6500 are the factors of 6500 .

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

    6500 ÷ 1 = 6500
    6500 ÷ 2 = 3250
    6500 ÷ 4 = 1625
    6500 ÷ 5 = 1300
    6500 ÷ 10 = 650
    6500 ÷ 13 = 500
    6500 ÷ 20 = 325
    6500 ÷ 25 = 260
    6500 ÷ 26 = 250
    6500 ÷ 50 = 130
    6500 ÷ 52 = 125
    6500 ÷ 65 = 100
    6500 ÷ 100 = 65
    6500 ÷ 125 = 52
    6500 ÷ 130 = 50
    6500 ÷ 250 = 26
    6500 ÷ 260 = 25
    6500 ÷ 325 = 20
    6500 ÷ 500 = 13
    6500 ÷ 650 = 10
    6500 ÷ 1300 = 5
    6500 ÷ 1625 = 4
    6500 ÷ 3250 = 2
    6500 ÷ 6500 = 1

As you can see, the factors of 6500 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 125 , 130 , 250 , 260 , 325 , 500 , 650 , 1300 , 1625 , 3250 and 6500 .

How to Write Numbers in French Similar to 6500?

How many factors of 6500 are there ?

The factors of 6500 are the numbers that can evenly divide 6500 . These numbers are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 125 , 130 , 250 , 260 , 325 , 500 , 650 , 1300 , 1625 , 3250 and 6500.

Thus, there are a total of 24 factors of 6500

What are the factor pairs of 6500 ?

Factor Pairs of 6500 are combinations of two factors that when multiplied together equal 6500. There are many ways to calculate the factor pairs of 6500 .

One easy way is to list out the factors of 6500 :
   1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 125 , 130 , 250 , 260 , 325 , 500 , 650 , 1300 , 1625 , 3250 , 6500

Then, pair up the factors:
   (1,6500),(2,3250),(4,1625),(5,1300),(10,650),(13,500),(20,325),(25,260),(26,250),(50,130),(52,125) and (65,100) These are the factor pairs of 6500 .

Prime Factorisation of 6500

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 6500 using a factor tree, we would start by writing 6500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 6500 would be 2 x 2 x 5 x 5 x 5 x 13.

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 6500 using this method, we keep dividing until it gives a non-zero remainder.

    6500 ÷ 2 = 3250
    3250 ÷ 2 = 1625
    1625 ÷ 5 = 325
    325 ÷ 5 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So the prime factors of 6500 are 2 x 2 x 5 x 5 x 5 x 13.

Frequently Asked Questions on Factors

What are all the factors of 6500 ?

The factors of 6500 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 125 , 130 , 250 , 260 , 325 , 500 , 650 , 1300 , 1625 , 3250 and 6500.

What is the prime factorization of 6500 ?

The prime factorization of 6500 is 2 x 2 x 5 x 5 x 5 x 13 or 22 x 53 x 131, where 2 , 5 , 13 are the prime numbers .

What are the prime factors of 6500 ?

The prime factors of 6500 are 2 , 5 , 13 .

Is 6500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
6500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 125 , 130 , 250 , 260 , 325 , 500 , 650 , 1300 , 1625 , 3250 and 6500.

Other conversions of the number 6500