# What are all the factors, the prime factorization, and factor pairs of 42300?

To find the factors of 42300, divide 42300 by each number starting with 1 and working up to 42300

## 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 42300 ?

To calculate the factors of 42300 , you can use the division method.

1. Begin by dividing 42300 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 42300.

3. Continue dividing 42300 by larger numbers until you find an odd number that does not divide evenly into 42300 .

4. The numbers that divide evenly into 42300 are the factors of 42300 .

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

42300 ÷ 1 = 42300
42300 ÷ 2 = 21150
42300 ÷ 3 = 14100
42300 ÷ 4 = 10575
42300 ÷ 5 = 8460
42300 ÷ 6 = 7050
42300 ÷ 9 = 4700
42300 ÷ 10 = 4230
42300 ÷ 12 = 3525
42300 ÷ 15 = 2820
42300 ÷ 18 = 2350
42300 ÷ 20 = 2115
42300 ÷ 25 = 1692
42300 ÷ 30 = 1410
42300 ÷ 36 = 1175
42300 ÷ 45 = 940
42300 ÷ 47 = 900
42300 ÷ 50 = 846
42300 ÷ 60 = 705
42300 ÷ 75 = 564
42300 ÷ 90 = 470
42300 ÷ 94 = 450
42300 ÷ 100 = 423
42300 ÷ 141 = 300
42300 ÷ 150 = 282
42300 ÷ 180 = 235
42300 ÷ 188 = 225
42300 ÷ 225 = 188
42300 ÷ 235 = 180
42300 ÷ 282 = 150
42300 ÷ 300 = 141
42300 ÷ 423 = 100
42300 ÷ 450 = 94
42300 ÷ 470 = 90
42300 ÷ 564 = 75
42300 ÷ 705 = 60
42300 ÷ 846 = 50
42300 ÷ 900 = 47
42300 ÷ 940 = 45
42300 ÷ 1175 = 36
42300 ÷ 1410 = 30
42300 ÷ 1692 = 25
42300 ÷ 2115 = 20
42300 ÷ 2350 = 18
42300 ÷ 2820 = 15
42300 ÷ 3525 = 12
42300 ÷ 4230 = 10
42300 ÷ 4700 = 9
42300 ÷ 7050 = 6
42300 ÷ 8460 = 5
42300 ÷ 10575 = 4
42300 ÷ 14100 = 3
42300 ÷ 21150 = 2
42300 ÷ 42300 = 1

As you can see, the factors of 42300 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 47 , 50 , 60 , 75 , 90 , 94 , 100 , 141 , 150 , 180 , 188 , 225 , 235 , 282 , 300 , 423 , 450 , 470 , 564 , 705 , 846 , 900 , 940 , 1175 , 1410 , 1692 , 2115 , 2350 , 2820 , 3525 , 4230 , 4700 , 7050 , 8460 , 10575 , 14100 , 21150 and 42300 .

## How many factors of 42300 are there ?

The factors of 42300 are the numbers that can evenly divide 42300 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 47 , 50 , 60 , 75 , 90 , 94 , 100 , 141 , 150 , 180 , 188 , 225 , 235 , 282 , 300 , 423 , 450 , 470 , 564 , 705 , 846 , 900 , 940 , 1175 , 1410 , 1692 , 2115 , 2350 , 2820 , 3525 , 4230 , 4700 , 7050 , 8460 , 10575 , 14100 , 21150 and 42300.

Thus, there are a total of 54 factors of 42300

## What are the factor pairs of 42300 ?

Factor Pairs of 42300 are combinations of two factors that when multiplied together equal 42300. There are many ways to calculate the factor pairs of 42300 .

One easy way is to list out the factors of 42300 :
1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 47 , 50 , 60 , 75 , 90 , 94 , 100 , 141 , 150 , 180 , 188 , 225 , 235 , 282 , 300 , 423 , 450 , 470 , 564 , 705 , 846 , 900 , 940 , 1175 , 1410 , 1692 , 2115 , 2350 , 2820 , 3525 , 4230 , 4700 , 7050 , 8460 , 10575 , 14100 , 21150 , 42300

Then, pair up the factors:
(1,42300),(2,21150),(3,14100),(4,10575),(5,8460),(6,7050),(9,4700),(10,4230),(12,3525),(15,2820),(18,2350),(20,2115),(25,1692),(30,1410),(36,1175),(45,940),(47,900),(50,846),(60,705),(75,564),(90,470),(94,450),(100,423),(141,300),(150,282),(180,235) and (188,225) These are the factor pairs of 42300 .

## Prime Factorisation of 42300

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 42300 using a factor tree, we would start by writing 42300 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 42300 would be 2 x 2 x 3 x 3 x 5 x 5 x 47.

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 42300 using this method, we keep dividing until it gives a non-zero remainder.

42300 ÷ 2 = 21150
21150 ÷ 2 = 10575
10575 ÷ 3 = 3525
3525 ÷ 3 = 1175
1175 ÷ 5 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1

So the prime factors of 42300 are 2 x 2 x 3 x 3 x 5 x 5 x 47.

## Frequently Asked Questions on Factors

### What are all the factors of 42300 ?

The factors of 42300 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 47 , 50 , 60 , 75 , 90 , 94 , 100 , 141 , 150 , 180 , 188 , 225 , 235 , 282 , 300 , 423 , 450 , 470 , 564 , 705 , 846 , 900 , 940 , 1175 , 1410 , 1692 , 2115 , 2350 , 2820 , 3525 , 4230 , 4700 , 7050 , 8460 , 10575 , 14100 , 21150 and 42300.

### What is the prime factorization of 42300 ?

The prime factorization of 42300 is 2 x 2 x 3 x 3 x 5 x 5 x 47 or 22 x 32 x 52 x 471, where 2 , 3 , 5 , 47 are the prime numbers .

### What are the prime factors of 42300 ?

The prime factors of 42300 are 2 , 3 , 5 , 47 .

### Is 42300 a prime number ?

A prime number is a number that has only two factors 1 and itself.
42300 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 47 , 50 , 60 , 75 , 90 , 94 , 100 , 141 , 150 , 180 , 188 , 225 , 235 , 282 , 300 , 423 , 450 , 470 , 564 , 705 , 846 , 900 , 940 , 1175 , 1410 , 1692 , 2115 , 2350 , 2820 , 3525 , 4230 , 4700 , 7050 , 8460 , 10575 , 14100 , 21150 and 42300.