# What are all the factors, the prime factorization, and factor pairs of 71000?

To find the factors of 71000, divide 71000 by each number starting with 1 and working up to 71000

## 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 71000 ?

To calculate the factors of 71000 , you can use the division method.

1. Begin by dividing 71000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 71000.

3. Continue dividing 71000 by larger numbers until you find an odd number that does not divide evenly into 71000 .

4. The numbers that divide evenly into 71000 are the factors of 71000 .

Now let us find how to calculate all the factors of Seventy-one thousand :

71000 ÷ 1 = 71000
71000 ÷ 2 = 35500
71000 ÷ 4 = 17750
71000 ÷ 5 = 14200
71000 ÷ 8 = 8875
71000 ÷ 10 = 7100
71000 ÷ 20 = 3550
71000 ÷ 25 = 2840
71000 ÷ 40 = 1775
71000 ÷ 50 = 1420
71000 ÷ 71 = 1000
71000 ÷ 100 = 710
71000 ÷ 125 = 568
71000 ÷ 142 = 500
71000 ÷ 200 = 355
71000 ÷ 250 = 284
71000 ÷ 284 = 250
71000 ÷ 355 = 200
71000 ÷ 500 = 142
71000 ÷ 568 = 125
71000 ÷ 710 = 100
71000 ÷ 1000 = 71
71000 ÷ 1420 = 50
71000 ÷ 1775 = 40
71000 ÷ 2840 = 25
71000 ÷ 3550 = 20
71000 ÷ 7100 = 10
71000 ÷ 8875 = 8
71000 ÷ 14200 = 5
71000 ÷ 17750 = 4
71000 ÷ 35500 = 2
71000 ÷ 71000 = 1

As you can see, the factors of 71000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 71 , 100 , 125 , 142 , 200 , 250 , 284 , 355 , 500 , 568 , 710 , 1000 , 1420 , 1775 , 2840 , 3550 , 7100 , 8875 , 14200 , 17750 , 35500 and 71000 .

## How many factors of 71000 are there ?

The factors of 71000 are the numbers that can evenly divide 71000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 71 , 100 , 125 , 142 , 200 , 250 , 284 , 355 , 500 , 568 , 710 , 1000 , 1420 , 1775 , 2840 , 3550 , 7100 , 8875 , 14200 , 17750 , 35500 and 71000.

Thus, there are a total of 32 factors of 71000

## What are the factor pairs of 71000 ?

Factor Pairs of 71000 are combinations of two factors that when multiplied together equal 71000. There are many ways to calculate the factor pairs of 71000 .

One easy way is to list out the factors of 71000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 71 , 100 , 125 , 142 , 200 , 250 , 284 , 355 , 500 , 568 , 710 , 1000 , 1420 , 1775 , 2840 , 3550 , 7100 , 8875 , 14200 , 17750 , 35500 , 71000

Then, pair up the factors:
(1,71000),(2,35500),(4,17750),(5,14200),(8,8875),(10,7100),(20,3550),(25,2840),(40,1775),(50,1420),(71,1000),(100,710),(125,568),(142,500),(200,355) and (250,284) These are the factor pairs of 71000 .

## Prime Factorisation of 71000

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 71000 using a factor tree, we would start by writing 71000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 71000 would be 2 x 2 x 2 x 5 x 5 x 5 x 71.

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 71000 using this method, we keep dividing until it gives a non-zero remainder.

71000 ÷ 2 = 35500
35500 ÷ 2 = 17750
17750 ÷ 2 = 8875
8875 ÷ 5 = 1775
1775 ÷ 5 = 355
355 ÷ 5 = 71
71 ÷ 71 = 1

So the prime factors of 71000 are 2 x 2 x 2 x 5 x 5 x 5 x 71.

## Frequently Asked Questions on Factors

### What are all the factors of 71000 ?

The factors of 71000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 71 , 100 , 125 , 142 , 200 , 250 , 284 , 355 , 500 , 568 , 710 , 1000 , 1420 , 1775 , 2840 , 3550 , 7100 , 8875 , 14200 , 17750 , 35500 and 71000.

### What is the prime factorization of 71000 ?

The prime factorization of 71000 is 2 x 2 x 2 x 5 x 5 x 5 x 71 or 23 x 53 x 711, where 2 , 5 , 71 are the prime numbers .

### What are the prime factors of 71000 ?

The prime factors of 71000 are 2 , 5 , 71 .

### Is 71000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
71000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 71 , 100 , 125 , 142 , 200 , 250 , 284 , 355 , 500 , 568 , 710 , 1000 , 1420 , 1775 , 2840 , 3550 , 7100 , 8875 , 14200 , 17750 , 35500 and 71000.