# What are all the factors, the prime factorization, and factor pairs of 62000?

To find the factors of 62000, divide 62000 by each number starting with 1 and working up to 62000

## 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 62000 ?

To calculate the factors of 62000 , you can use the division method.

1. Begin by dividing 62000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 62000.

3. Continue dividing 62000 by larger numbers until you find an odd number that does not divide evenly into 62000 .

4. The numbers that divide evenly into 62000 are the factors of 62000 .

Now let us find how to calculate all the factors of Sixty-two thousand :

62000 ÷ 1 = 62000
62000 ÷ 2 = 31000
62000 ÷ 4 = 15500
62000 ÷ 5 = 12400
62000 ÷ 8 = 7750
62000 ÷ 10 = 6200
62000 ÷ 16 = 3875
62000 ÷ 20 = 3100
62000 ÷ 25 = 2480
62000 ÷ 31 = 2000
62000 ÷ 40 = 1550
62000 ÷ 50 = 1240
62000 ÷ 62 = 1000
62000 ÷ 80 = 775
62000 ÷ 100 = 620
62000 ÷ 124 = 500
62000 ÷ 125 = 496
62000 ÷ 155 = 400
62000 ÷ 200 = 310
62000 ÷ 248 = 250
62000 ÷ 250 = 248
62000 ÷ 310 = 200
62000 ÷ 400 = 155
62000 ÷ 496 = 125
62000 ÷ 500 = 124
62000 ÷ 620 = 100
62000 ÷ 775 = 80
62000 ÷ 1000 = 62
62000 ÷ 1240 = 50
62000 ÷ 1550 = 40
62000 ÷ 2000 = 31
62000 ÷ 2480 = 25
62000 ÷ 3100 = 20
62000 ÷ 3875 = 16
62000 ÷ 6200 = 10
62000 ÷ 7750 = 8
62000 ÷ 12400 = 5
62000 ÷ 15500 = 4
62000 ÷ 31000 = 2
62000 ÷ 62000 = 1

As you can see, the factors of 62000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 31 , 40 , 50 , 62 , 80 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 400 , 496 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 2000 , 2480 , 3100 , 3875 , 6200 , 7750 , 12400 , 15500 , 31000 and 62000 .

## How many factors of 62000 are there ?

The factors of 62000 are the numbers that can evenly divide 62000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 31 , 40 , 50 , 62 , 80 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 400 , 496 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 2000 , 2480 , 3100 , 3875 , 6200 , 7750 , 12400 , 15500 , 31000 and 62000.

Thus, there are a total of 40 factors of 62000

## What are the factor pairs of 62000 ?

Factor Pairs of 62000 are combinations of two factors that when multiplied together equal 62000. There are many ways to calculate the factor pairs of 62000 .

One easy way is to list out the factors of 62000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 31 , 40 , 50 , 62 , 80 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 400 , 496 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 2000 , 2480 , 3100 , 3875 , 6200 , 7750 , 12400 , 15500 , 31000 , 62000

Then, pair up the factors:
(1,62000),(2,31000),(4,15500),(5,12400),(8,7750),(10,6200),(16,3875),(20,3100),(25,2480),(31,2000),(40,1550),(50,1240),(62,1000),(80,775),(100,620),(124,500),(125,496),(155,400),(200,310) and (248,250) These are the factor pairs of 62000 .

## Prime Factorisation of 62000

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 62000 using a factor tree, we would start by writing 62000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 62000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 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 62000 using this method, we keep dividing until it gives a non-zero remainder.

62000 ÷ 2 = 31000
31000 ÷ 2 = 15500
15500 ÷ 2 = 7750
7750 ÷ 2 = 3875
3875 ÷ 5 = 775
775 ÷ 5 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1

So the prime factors of 62000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 31.

## Frequently Asked Questions on Factors

### What are all the factors of 62000 ?

The factors of 62000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 31 , 40 , 50 , 62 , 80 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 400 , 496 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 2000 , 2480 , 3100 , 3875 , 6200 , 7750 , 12400 , 15500 , 31000 and 62000.

### What is the prime factorization of 62000 ?

The prime factorization of 62000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 31 or 24 x 53 x 311, where 2 , 5 , 31 are the prime numbers .

### What are the prime factors of 62000 ?

The prime factors of 62000 are 2 , 5 , 31 .

### Is 62000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
62000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 31 , 40 , 50 , 62 , 80 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 400 , 496 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 2000 , 2480 , 3100 , 3875 , 6200 , 7750 , 12400 , 15500 , 31000 and 62000.