What are all the factors, the prime factorization, and factor pairs of 13700?

To find the factors of 13700, divide 13700 by each number starting with 1 and working up to 13700

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 13700 ?

To calculate the factors of 13700 , you can use the division method.

   1. Begin by dividing 13700 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 13700.

   3. Continue dividing 13700 by larger numbers until you find an odd number that does not divide evenly into 13700 .

   4. The numbers that divide evenly into 13700 are the factors of 13700 .

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

    13700 ÷ 1 = 13700
    13700 ÷ 2 = 6850
    13700 ÷ 4 = 3425
    13700 ÷ 5 = 2740
    13700 ÷ 10 = 1370
    13700 ÷ 20 = 685
    13700 ÷ 25 = 548
    13700 ÷ 50 = 274
    13700 ÷ 100 = 137
    13700 ÷ 137 = 100
    13700 ÷ 274 = 50
    13700 ÷ 548 = 25
    13700 ÷ 685 = 20
    13700 ÷ 1370 = 10
    13700 ÷ 2740 = 5
    13700 ÷ 3425 = 4
    13700 ÷ 6850 = 2
    13700 ÷ 13700 = 1

As you can see, the factors of 13700 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 137 , 274 , 548 , 685 , 1370 , 2740 , 3425 , 6850 and 13700 .

How to Write Numbers in French Similar to 13700?

How many factors of 13700 are there ?

The factors of 13700 are the numbers that can evenly divide 13700 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 137 , 274 , 548 , 685 , 1370 , 2740 , 3425 , 6850 and 13700.

Thus, there are a total of 18 factors of 13700

What are the factor pairs of 13700 ?

Factor Pairs of 13700 are combinations of two factors that when multiplied together equal 13700. There are many ways to calculate the factor pairs of 13700 .

One easy way is to list out the factors of 13700 :
   1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 137 , 274 , 548 , 685 , 1370 , 2740 , 3425 , 6850 , 13700

Then, pair up the factors:
   (1,13700),(2,6850),(4,3425),(5,2740),(10,1370),(20,685),(25,548),(50,274) and (100,137) These are the factor pairs of 13700 .

Prime Factorisation of 13700

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 13700 using a factor tree, we would start by writing 13700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 13700 would be 2 x 2 x 5 x 5 x 137.

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 13700 using this method, we keep dividing until it gives a non-zero remainder.

    13700 ÷ 2 = 6850
    6850 ÷ 2 = 3425
    3425 ÷ 5 = 685
    685 ÷ 5 = 137
    137 ÷ 137 = 1

So the prime factors of 13700 are 2 x 2 x 5 x 5 x 137.

Frequently Asked Questions on Factors

What are all the factors of 13700 ?

The factors of 13700 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 137 , 274 , 548 , 685 , 1370 , 2740 , 3425 , 6850 and 13700.

What is the prime factorization of 13700 ?

The prime factorization of 13700 is 2 x 2 x 5 x 5 x 137 or 22 x 52 x 1371, where 2 , 5 , 137 are the prime numbers .

What are the prime factors of 13700 ?

The prime factors of 13700 are 2 , 5 , 137 .

Is 13700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
13700 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 137 , 274 , 548 , 685 , 1370 , 2740 , 3425 , 6850 and 13700.

Other conversions of the number 13700