# What are all the factors, the prime factorization, and factor pairs of 43400?

To find the factors of 43400, divide 43400 by each number starting with 1 and working up to 43400

## 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 43400 ?

To calculate the factors of 43400 , you can use the division method.

1. Begin by dividing 43400 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 43400.

3. Continue dividing 43400 by larger numbers until you find an odd number that does not divide evenly into 43400 .

4. The numbers that divide evenly into 43400 are the factors of 43400 .

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

43400 ÷ 1 = 43400
43400 ÷ 2 = 21700
43400 ÷ 4 = 10850
43400 ÷ 5 = 8680
43400 ÷ 7 = 6200
43400 ÷ 8 = 5425
43400 ÷ 10 = 4340
43400 ÷ 14 = 3100
43400 ÷ 20 = 2170
43400 ÷ 25 = 1736
43400 ÷ 28 = 1550
43400 ÷ 31 = 1400
43400 ÷ 35 = 1240
43400 ÷ 40 = 1085
43400 ÷ 50 = 868
43400 ÷ 56 = 775
43400 ÷ 62 = 700
43400 ÷ 70 = 620
43400 ÷ 100 = 434
43400 ÷ 124 = 350
43400 ÷ 140 = 310
43400 ÷ 155 = 280
43400 ÷ 175 = 248
43400 ÷ 200 = 217
43400 ÷ 217 = 200
43400 ÷ 248 = 175
43400 ÷ 280 = 155
43400 ÷ 310 = 140
43400 ÷ 350 = 124
43400 ÷ 434 = 100
43400 ÷ 620 = 70
43400 ÷ 700 = 62
43400 ÷ 775 = 56
43400 ÷ 868 = 50
43400 ÷ 1085 = 40
43400 ÷ 1240 = 35
43400 ÷ 1400 = 31
43400 ÷ 1550 = 28
43400 ÷ 1736 = 25
43400 ÷ 2170 = 20
43400 ÷ 3100 = 14
43400 ÷ 4340 = 10
43400 ÷ 5425 = 8
43400 ÷ 6200 = 7
43400 ÷ 8680 = 5
43400 ÷ 10850 = 4
43400 ÷ 21700 = 2
43400 ÷ 43400 = 1

As you can see, the factors of 43400 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 31 , 35 , 40 , 50 , 56 , 62 , 70 , 100 , 124 , 140 , 155 , 175 , 200 , 217 , 248 , 280 , 310 , 350 , 434 , 620 , 700 , 775 , 868 , 1085 , 1240 , 1400 , 1550 , 1736 , 2170 , 3100 , 4340 , 5425 , 6200 , 8680 , 10850 , 21700 and 43400 .

## How many factors of 43400 are there ?

The factors of 43400 are the numbers that can evenly divide 43400 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 31 , 35 , 40 , 50 , 56 , 62 , 70 , 100 , 124 , 140 , 155 , 175 , 200 , 217 , 248 , 280 , 310 , 350 , 434 , 620 , 700 , 775 , 868 , 1085 , 1240 , 1400 , 1550 , 1736 , 2170 , 3100 , 4340 , 5425 , 6200 , 8680 , 10850 , 21700 and 43400.

Thus, there are a total of 48 factors of 43400

## What are the factor pairs of 43400 ?

Factor Pairs of 43400 are combinations of two factors that when multiplied together equal 43400. There are many ways to calculate the factor pairs of 43400 .

One easy way is to list out the factors of 43400 :
1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 31 , 35 , 40 , 50 , 56 , 62 , 70 , 100 , 124 , 140 , 155 , 175 , 200 , 217 , 248 , 280 , 310 , 350 , 434 , 620 , 700 , 775 , 868 , 1085 , 1240 , 1400 , 1550 , 1736 , 2170 , 3100 , 4340 , 5425 , 6200 , 8680 , 10850 , 21700 , 43400

Then, pair up the factors:
(1,43400),(2,21700),(4,10850),(5,8680),(7,6200),(8,5425),(10,4340),(14,3100),(20,2170),(25,1736),(28,1550),(31,1400),(35,1240),(40,1085),(50,868),(56,775),(62,700),(70,620),(100,434),(124,350),(140,310),(155,280),(175,248) and (200,217) These are the factor pairs of 43400 .

## Prime Factorisation of 43400

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 43400 using a factor tree, we would start by writing 43400 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 43400 would be 2 x 2 x 2 x 5 x 5 x 7 x 31.

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 43400 using this method, we keep dividing until it gives a non-zero remainder.

43400 ÷ 2 = 21700
21700 ÷ 2 = 10850
10850 ÷ 2 = 5425
5425 ÷ 5 = 1085
1085 ÷ 5 = 217
217 ÷ 7 = 31
31 ÷ 31 = 1

So the prime factors of 43400 are 2 x 2 x 2 x 5 x 5 x 7 x 31.

## Frequently Asked Questions on Factors

### What are all the factors of 43400 ?

The factors of 43400 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 31 , 35 , 40 , 50 , 56 , 62 , 70 , 100 , 124 , 140 , 155 , 175 , 200 , 217 , 248 , 280 , 310 , 350 , 434 , 620 , 700 , 775 , 868 , 1085 , 1240 , 1400 , 1550 , 1736 , 2170 , 3100 , 4340 , 5425 , 6200 , 8680 , 10850 , 21700 and 43400.

### What is the prime factorization of 43400 ?

The prime factorization of 43400 is 2 x 2 x 2 x 5 x 5 x 7 x 31 or 23 x 52 x 71 x 311, where 2 , 5 , 7 , 31 are the prime numbers .

### What are the prime factors of 43400 ?

The prime factors of 43400 are 2 , 5 , 7 , 31 .

### Is 43400 a prime number ?

A prime number is a number that has only two factors 1 and itself.
43400 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 31 , 35 , 40 , 50 , 56 , 62 , 70 , 100 , 124 , 140 , 155 , 175 , 200 , 217 , 248 , 280 , 310 , 350 , 434 , 620 , 700 , 775 , 868 , 1085 , 1240 , 1400 , 1550 , 1736 , 2170 , 3100 , 4340 , 5425 , 6200 , 8680 , 10850 , 21700 and 43400.