What are all the factors, the prime factorization, and factor pairs of 16000?

To find the factors of 16000, divide 16000 by each number starting with 1 and working up to 16000

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 16000 ?

To calculate the factors of 16000 , you can use the division method.

   1. Begin by dividing 16000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 16000.

   3. Continue dividing 16000 by larger numbers until you find an odd number that does not divide evenly into 16000 .

   4. The numbers that divide evenly into 16000 are the factors of 16000 .

Now let us find how to calculate all the factors of Sixteen thousand :

    16000 ÷ 1 = 16000
    16000 ÷ 2 = 8000
    16000 ÷ 4 = 4000
    16000 ÷ 5 = 3200
    16000 ÷ 8 = 2000
    16000 ÷ 10 = 1600
    16000 ÷ 16 = 1000
    16000 ÷ 20 = 800
    16000 ÷ 25 = 640
    16000 ÷ 32 = 500
    16000 ÷ 40 = 400
    16000 ÷ 50 = 320
    16000 ÷ 64 = 250
    16000 ÷ 80 = 200
    16000 ÷ 100 = 160
    16000 ÷ 125 = 128
    16000 ÷ 128 = 125
    16000 ÷ 160 = 100
    16000 ÷ 200 = 80
    16000 ÷ 250 = 64
    16000 ÷ 320 = 50
    16000 ÷ 400 = 40
    16000 ÷ 500 = 32
    16000 ÷ 640 = 25
    16000 ÷ 800 = 20
    16000 ÷ 1000 = 16
    16000 ÷ 1600 = 10
    16000 ÷ 2000 = 8
    16000 ÷ 3200 = 5
    16000 ÷ 4000 = 4
    16000 ÷ 8000 = 2
    16000 ÷ 16000 = 1

As you can see, the factors of 16000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 640 , 800 , 1000 , 1600 , 2000 , 3200 , 4000 , 8000 and 16000 .

How to Write Numbers in French Similar to 16000?

How many factors of 16000 are there ?

The factors of 16000 are the numbers that can evenly divide 16000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 640 , 800 , 1000 , 1600 , 2000 , 3200 , 4000 , 8000 and 16000.

Thus, there are a total of 32 factors of 16000

What are the factor pairs of 16000 ?

Factor Pairs of 16000 are combinations of two factors that when multiplied together equal 16000. There are many ways to calculate the factor pairs of 16000 .

One easy way is to list out the factors of 16000 :
   1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 640 , 800 , 1000 , 1600 , 2000 , 3200 , 4000 , 8000 , 16000

Then, pair up the factors:
   (1,16000),(2,8000),(4,4000),(5,3200),(8,2000),(10,1600),(16,1000),(20,800),(25,640),(32,500),(40,400),(50,320),(64,250),(80,200),(100,160) and (125,128) These are the factor pairs of 16000 .

Prime Factorisation of 16000

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 16000 using a factor tree, we would start by writing 16000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 16000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

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 16000 using this method, we keep dividing until it gives a non-zero remainder.

    16000 ÷ 2 = 8000
    8000 ÷ 2 = 4000
    4000 ÷ 2 = 2000
    2000 ÷ 2 = 1000
    1000 ÷ 2 = 500
    500 ÷ 2 = 250
    250 ÷ 2 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 16000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

Frequently Asked Questions on Factors

What are all the factors of 16000 ?

The factors of 16000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 640 , 800 , 1000 , 1600 , 2000 , 3200 , 4000 , 8000 and 16000.

What is the prime factorization of 16000 ?

The prime factorization of 16000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 or 27 x 53, where 2 , 5 are the prime numbers .

What are the prime factors of 16000 ?

The prime factors of 16000 are 2 , 5 .

Is 16000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
16000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 640 , 800 , 1000 , 1600 , 2000 , 3200 , 4000 , 8000 and 16000.

Other conversions of the number 16000