# What are all the factors, the prime factorization, and factor pairs of 420500?

To find the factors of 420500, divide 420500 by each number starting with 1 and working up to 420500

## 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 420500 ?

To calculate the factors of 420500 , you can use the division method.

1. Begin by dividing 420500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 420500.

3. Continue dividing 420500 by larger numbers until you find an odd number that does not divide evenly into 420500 .

4. The numbers that divide evenly into 420500 are the factors of 420500 .

Now let us find how to calculate all the factors of Four hundred twenty thousand five hundred :

420500 ÷ 1 = 420500
420500 ÷ 2 = 210250
420500 ÷ 4 = 105125
420500 ÷ 5 = 84100
420500 ÷ 10 = 42050
420500 ÷ 20 = 21025
420500 ÷ 25 = 16820
420500 ÷ 29 = 14500
420500 ÷ 50 = 8410
420500 ÷ 58 = 7250
420500 ÷ 100 = 4205
420500 ÷ 116 = 3625
420500 ÷ 125 = 3364
420500 ÷ 145 = 2900
420500 ÷ 250 = 1682
420500 ÷ 290 = 1450
420500 ÷ 500 = 841
420500 ÷ 580 = 725
420500 ÷ 725 = 580
420500 ÷ 841 = 500
420500 ÷ 1450 = 290
420500 ÷ 1682 = 250
420500 ÷ 2900 = 145
420500 ÷ 3364 = 125
420500 ÷ 3625 = 116
420500 ÷ 4205 = 100
420500 ÷ 7250 = 58
420500 ÷ 8410 = 50
420500 ÷ 14500 = 29
420500 ÷ 16820 = 25
420500 ÷ 21025 = 20
420500 ÷ 42050 = 10
420500 ÷ 84100 = 5
420500 ÷ 105125 = 4
420500 ÷ 210250 = 2
420500 ÷ 420500 = 1

As you can see, the factors of 420500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 29 , 50 , 58 , 100 , 116 , 125 , 145 , 250 , 290 , 500 , 580 , 725 , 841 , 1450 , 1682 , 2900 , 3364 , 3625 , 4205 , 7250 , 8410 , 14500 , 16820 , 21025 , 42050 , 84100 , 105125 , 210250 and 420500 .

## How many factors of 420500 are there ?

The factors of 420500 are the numbers that can evenly divide 420500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 29 , 50 , 58 , 100 , 116 , 125 , 145 , 250 , 290 , 500 , 580 , 725 , 841 , 1450 , 1682 , 2900 , 3364 , 3625 , 4205 , 7250 , 8410 , 14500 , 16820 , 21025 , 42050 , 84100 , 105125 , 210250 and 420500.

Thus, there are a total of 36 factors of 420500

## What are the factor pairs of 420500 ?

Factor Pairs of 420500 are combinations of two factors that when multiplied together equal 420500. There are many ways to calculate the factor pairs of 420500 .

One easy way is to list out the factors of 420500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 29 , 50 , 58 , 100 , 116 , 125 , 145 , 250 , 290 , 500 , 580 , 725 , 841 , 1450 , 1682 , 2900 , 3364 , 3625 , 4205 , 7250 , 8410 , 14500 , 16820 , 21025 , 42050 , 84100 , 105125 , 210250 , 420500

Then, pair up the factors:
(1,420500),(2,210250),(4,105125),(5,84100),(10,42050),(20,21025),(25,16820),(29,14500),(50,8410),(58,7250),(100,4205),(116,3625),(125,3364),(145,2900),(250,1682),(290,1450),(500,841) and (580,725) These are the factor pairs of 420500 .

## Prime Factorisation of 420500

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 420500 using a factor tree, we would start by writing 420500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 420500 would be 2 x 2 x 5 x 5 x 5 x 29 x 29.

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 420500 using this method, we keep dividing until it gives a non-zero remainder.

420500 ÷ 2 = 210250
210250 ÷ 2 = 105125
105125 ÷ 5 = 21025
21025 ÷ 5 = 4205
4205 ÷ 5 = 841
841 ÷ 29 = 29
29 ÷ 29 = 1

So the prime factors of 420500 are 2 x 2 x 5 x 5 x 5 x 29 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 420500 ?

The factors of 420500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 29 , 50 , 58 , 100 , 116 , 125 , 145 , 250 , 290 , 500 , 580 , 725 , 841 , 1450 , 1682 , 2900 , 3364 , 3625 , 4205 , 7250 , 8410 , 14500 , 16820 , 21025 , 42050 , 84100 , 105125 , 210250 and 420500.

### What is the prime factorization of 420500 ?

The prime factorization of 420500 is 2 x 2 x 5 x 5 x 5 x 29 x 29 or 22 x 53 x 292, where 2 , 5 , 29 are the prime numbers .

### What are the prime factors of 420500 ?

The prime factors of 420500 are 2 , 5 , 29 .

### Is 420500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
420500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 29 , 50 , 58 , 100 , 116 , 125 , 145 , 250 , 290 , 500 , 580 , 725 , 841 , 1450 , 1682 , 2900 , 3364 , 3625 , 4205 , 7250 , 8410 , 14500 , 16820 , 21025 , 42050 , 84100 , 105125 , 210250 and 420500.