# What are all the factors, the prime factorization, and factor pairs of 43700?

To find the factors of 43700, divide 43700 by each number starting with 1 and working up to 43700

## 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 43700 ?

To calculate the factors of 43700 , you can use the division method.

1. Begin by dividing 43700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 43700.

3. Continue dividing 43700 by larger numbers until you find an odd number that does not divide evenly into 43700 .

4. The numbers that divide evenly into 43700 are the factors of 43700 .

Now let us find how to calculate all the factors of Forty-three thousand seven hundred :

43700 ÷ 1 = 43700
43700 ÷ 2 = 21850
43700 ÷ 4 = 10925
43700 ÷ 5 = 8740
43700 ÷ 10 = 4370
43700 ÷ 19 = 2300
43700 ÷ 20 = 2185
43700 ÷ 23 = 1900
43700 ÷ 25 = 1748
43700 ÷ 38 = 1150
43700 ÷ 46 = 950
43700 ÷ 50 = 874
43700 ÷ 76 = 575
43700 ÷ 92 = 475
43700 ÷ 95 = 460
43700 ÷ 100 = 437
43700 ÷ 115 = 380
43700 ÷ 190 = 230
43700 ÷ 230 = 190
43700 ÷ 380 = 115
43700 ÷ 437 = 100
43700 ÷ 460 = 95
43700 ÷ 475 = 92
43700 ÷ 575 = 76
43700 ÷ 874 = 50
43700 ÷ 950 = 46
43700 ÷ 1150 = 38
43700 ÷ 1748 = 25
43700 ÷ 1900 = 23
43700 ÷ 2185 = 20
43700 ÷ 2300 = 19
43700 ÷ 4370 = 10
43700 ÷ 8740 = 5
43700 ÷ 10925 = 4
43700 ÷ 21850 = 2
43700 ÷ 43700 = 1

As you can see, the factors of 43700 are 1 , 2 , 4 , 5 , 10 , 19 , 20 , 23 , 25 , 38 , 46 , 50 , 76 , 92 , 95 , 100 , 115 , 190 , 230 , 380 , 437 , 460 , 475 , 575 , 874 , 950 , 1150 , 1748 , 1900 , 2185 , 2300 , 4370 , 8740 , 10925 , 21850 and 43700 .

## How many factors of 43700 are there ?

The factors of 43700 are the numbers that can evenly divide 43700 . These numbers are 1 , 2 , 4 , 5 , 10 , 19 , 20 , 23 , 25 , 38 , 46 , 50 , 76 , 92 , 95 , 100 , 115 , 190 , 230 , 380 , 437 , 460 , 475 , 575 , 874 , 950 , 1150 , 1748 , 1900 , 2185 , 2300 , 4370 , 8740 , 10925 , 21850 and 43700.

Thus, there are a total of 36 factors of 43700

## What are the factor pairs of 43700 ?

Factor Pairs of 43700 are combinations of two factors that when multiplied together equal 43700. There are many ways to calculate the factor pairs of 43700 .

One easy way is to list out the factors of 43700 :
1 , 2 , 4 , 5 , 10 , 19 , 20 , 23 , 25 , 38 , 46 , 50 , 76 , 92 , 95 , 100 , 115 , 190 , 230 , 380 , 437 , 460 , 475 , 575 , 874 , 950 , 1150 , 1748 , 1900 , 2185 , 2300 , 4370 , 8740 , 10925 , 21850 , 43700

Then, pair up the factors:
(1,43700),(2,21850),(4,10925),(5,8740),(10,4370),(19,2300),(20,2185),(23,1900),(25,1748),(38,1150),(46,950),(50,874),(76,575),(92,475),(95,460),(100,437),(115,380) and (190,230) These are the factor pairs of 43700 .

## Prime Factorisation of 43700

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 43700 using a factor tree, we would start by writing 43700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 43700 would be 2 x 2 x 5 x 5 x 19 x 23.

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 43700 using this method, we keep dividing until it gives a non-zero remainder.

43700 ÷ 2 = 21850
21850 ÷ 2 = 10925
10925 ÷ 5 = 2185
2185 ÷ 5 = 437
437 ÷ 19 = 23
23 ÷ 23 = 1

So the prime factors of 43700 are 2 x 2 x 5 x 5 x 19 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 43700 ?

The factors of 43700 are 1 , 2 , 4 , 5 , 10 , 19 , 20 , 23 , 25 , 38 , 46 , 50 , 76 , 92 , 95 , 100 , 115 , 190 , 230 , 380 , 437 , 460 , 475 , 575 , 874 , 950 , 1150 , 1748 , 1900 , 2185 , 2300 , 4370 , 8740 , 10925 , 21850 and 43700.

### What is the prime factorization of 43700 ?

The prime factorization of 43700 is 2 x 2 x 5 x 5 x 19 x 23 or 22 x 52 x 191 x 231, where 2 , 5 , 19 , 23 are the prime numbers .

### What are the prime factors of 43700 ?

The prime factors of 43700 are 2 , 5 , 19 , 23 .

### Is 43700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
43700 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 19 , 20 , 23 , 25 , 38 , 46 , 50 , 76 , 92 , 95 , 100 , 115 , 190 , 230 , 380 , 437 , 460 , 475 , 575 , 874 , 950 , 1150 , 1748 , 1900 , 2185 , 2300 , 4370 , 8740 , 10925 , 21850 and 43700.