# What are all the factors, the prime factorization, and factor pairs of 493000?

To find the factors of 493000, divide 493000 by each number starting with 1 and working up to 493000

## 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 493000 ?

To calculate the factors of 493000 , you can use the division method.

1. Begin by dividing 493000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 493000.

3. Continue dividing 493000 by larger numbers until you find an odd number that does not divide evenly into 493000 .

4. The numbers that divide evenly into 493000 are the factors of 493000 .

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

493000 ÷ 1 = 493000
493000 ÷ 2 = 246500
493000 ÷ 4 = 123250
493000 ÷ 5 = 98600
493000 ÷ 8 = 61625
493000 ÷ 10 = 49300
493000 ÷ 17 = 29000
493000 ÷ 20 = 24650
493000 ÷ 25 = 19720
493000 ÷ 29 = 17000
493000 ÷ 34 = 14500
493000 ÷ 40 = 12325
493000 ÷ 50 = 9860
493000 ÷ 58 = 8500
493000 ÷ 68 = 7250
493000 ÷ 85 = 5800
493000 ÷ 100 = 4930
493000 ÷ 116 = 4250
493000 ÷ 125 = 3944
493000 ÷ 136 = 3625
493000 ÷ 145 = 3400
493000 ÷ 170 = 2900
493000 ÷ 200 = 2465
493000 ÷ 232 = 2125
493000 ÷ 250 = 1972
493000 ÷ 290 = 1700
493000 ÷ 340 = 1450
493000 ÷ 425 = 1160
493000 ÷ 493 = 1000
493000 ÷ 500 = 986
493000 ÷ 580 = 850
493000 ÷ 680 = 725
493000 ÷ 725 = 680
493000 ÷ 850 = 580
493000 ÷ 986 = 500
493000 ÷ 1000 = 493
493000 ÷ 1160 = 425
493000 ÷ 1450 = 340
493000 ÷ 1700 = 290
493000 ÷ 1972 = 250
493000 ÷ 2125 = 232
493000 ÷ 2465 = 200
493000 ÷ 2900 = 170
493000 ÷ 3400 = 145
493000 ÷ 3625 = 136
493000 ÷ 3944 = 125
493000 ÷ 4250 = 116
493000 ÷ 4930 = 100
493000 ÷ 5800 = 85
493000 ÷ 7250 = 68
493000 ÷ 8500 = 58
493000 ÷ 9860 = 50
493000 ÷ 12325 = 40
493000 ÷ 14500 = 34
493000 ÷ 17000 = 29
493000 ÷ 19720 = 25
493000 ÷ 24650 = 20
493000 ÷ 29000 = 17
493000 ÷ 49300 = 10
493000 ÷ 61625 = 8
493000 ÷ 98600 = 5
493000 ÷ 123250 = 4
493000 ÷ 246500 = 2
493000 ÷ 493000 = 1

As you can see, the factors of 493000 are 1 , 2 , 4 , 5 , 8 , 10 , 17 , 20 , 25 , 29 , 34 , 40 , 50 , 58 , 68 , 85 , 100 , 116 , 125 , 136 , 145 , 170 , 200 , 232 , 250 , 290 , 340 , 425 , 493 , 500 , 580 , 680 , 725 , 850 , 986 , 1000 , 1160 , 1450 , 1700 , 1972 , 2125 , 2465 , 2900 , 3400 , 3625 , 3944 , 4250 , 4930 , 5800 , 7250 , 8500 , 9860 , 12325 , 14500 , 17000 , 19720 , 24650 , 29000 , 49300 , 61625 , 98600 , 123250 , 246500 and 493000 .

## How many factors of 493000 are there ?

The factors of 493000 are the numbers that can evenly divide 493000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 17 , 20 , 25 , 29 , 34 , 40 , 50 , 58 , 68 , 85 , 100 , 116 , 125 , 136 , 145 , 170 , 200 , 232 , 250 , 290 , 340 , 425 , 493 , 500 , 580 , 680 , 725 , 850 , 986 , 1000 , 1160 , 1450 , 1700 , 1972 , 2125 , 2465 , 2900 , 3400 , 3625 , 3944 , 4250 , 4930 , 5800 , 7250 , 8500 , 9860 , 12325 , 14500 , 17000 , 19720 , 24650 , 29000 , 49300 , 61625 , 98600 , 123250 , 246500 and 493000.

Thus, there are a total of 64 factors of 493000

## What are the factor pairs of 493000 ?

Factor Pairs of 493000 are combinations of two factors that when multiplied together equal 493000. There are many ways to calculate the factor pairs of 493000 .

One easy way is to list out the factors of 493000 :
1 , 2 , 4 , 5 , 8 , 10 , 17 , 20 , 25 , 29 , 34 , 40 , 50 , 58 , 68 , 85 , 100 , 116 , 125 , 136 , 145 , 170 , 200 , 232 , 250 , 290 , 340 , 425 , 493 , 500 , 580 , 680 , 725 , 850 , 986 , 1000 , 1160 , 1450 , 1700 , 1972 , 2125 , 2465 , 2900 , 3400 , 3625 , 3944 , 4250 , 4930 , 5800 , 7250 , 8500 , 9860 , 12325 , 14500 , 17000 , 19720 , 24650 , 29000 , 49300 , 61625 , 98600 , 123250 , 246500 , 493000

Then, pair up the factors:
(1,493000),(2,246500),(4,123250),(5,98600),(8,61625),(10,49300),(17,29000),(20,24650),(25,19720),(29,17000),(34,14500),(40,12325),(50,9860),(58,8500),(68,7250),(85,5800),(100,4930),(116,4250),(125,3944),(136,3625),(145,3400),(170,2900),(200,2465),(232,2125),(250,1972),(290,1700),(340,1450),(425,1160),(493,1000),(500,986),(580,850) and (680,725) These are the factor pairs of 493000 .

## Prime Factorisation of 493000

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 493000 using a factor tree, we would start by writing 493000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 493000 would be 2 x 2 x 2 x 5 x 5 x 5 x 17 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 493000 using this method, we keep dividing until it gives a non-zero remainder.

493000 ÷ 2 = 246500
246500 ÷ 2 = 123250
123250 ÷ 2 = 61625
61625 ÷ 5 = 12325
12325 ÷ 5 = 2465
2465 ÷ 5 = 493
493 ÷ 17 = 29
29 ÷ 29 = 1

So the prime factors of 493000 are 2 x 2 x 2 x 5 x 5 x 5 x 17 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 493000 ?

The factors of 493000 are 1 , 2 , 4 , 5 , 8 , 10 , 17 , 20 , 25 , 29 , 34 , 40 , 50 , 58 , 68 , 85 , 100 , 116 , 125 , 136 , 145 , 170 , 200 , 232 , 250 , 290 , 340 , 425 , 493 , 500 , 580 , 680 , 725 , 850 , 986 , 1000 , 1160 , 1450 , 1700 , 1972 , 2125 , 2465 , 2900 , 3400 , 3625 , 3944 , 4250 , 4930 , 5800 , 7250 , 8500 , 9860 , 12325 , 14500 , 17000 , 19720 , 24650 , 29000 , 49300 , 61625 , 98600 , 123250 , 246500 and 493000.

### What is the prime factorization of 493000 ?

The prime factorization of 493000 is 2 x 2 x 2 x 5 x 5 x 5 x 17 x 29 or 23 x 53 x 171 x 291, where 2 , 5 , 17 , 29 are the prime numbers .

### What are the prime factors of 493000 ?

The prime factors of 493000 are 2 , 5 , 17 , 29 .

### Is 493000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
493000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 17 , 20 , 25 , 29 , 34 , 40 , 50 , 58 , 68 , 85 , 100 , 116 , 125 , 136 , 145 , 170 , 200 , 232 , 250 , 290 , 340 , 425 , 493 , 500 , 580 , 680 , 725 , 850 , 986 , 1000 , 1160 , 1450 , 1700 , 1972 , 2125 , 2465 , 2900 , 3400 , 3625 , 3944 , 4250 , 4930 , 5800 , 7250 , 8500 , 9860 , 12325 , 14500 , 17000 , 19720 , 24650 , 29000 , 49300 , 61625 , 98600 , 123250 , 246500 and 493000.