Q: What are the factor combinations of the number 20,341,585?

 A:
Positive:   1 x 203415855 x 406831711 x 184923555 x 369847163 x 124795815 x 249591793 x 113452269 x 8965
Negative: -1 x -20341585-5 x -4068317-11 x -1849235-55 x -369847-163 x -124795-815 x -24959-1793 x -11345-2269 x -8965


How do I find the factor combinations of the number 20,341,585?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 20,341,585, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 20,341,585
-1 -20,341,585

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,341,585.

Example:
1 x 20,341,585 = 20,341,585
and
-1 x -20,341,585 = 20,341,585
Notice both answers equal 20,341,585

With that explanation out of the way, let's continue. Next, we take the number 20,341,585 and divide it by 2:

20,341,585 ÷ 2 = 10,170,792.5

If the quotient is a whole number, then 2 and 10,170,792.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,341,585
-1 -20,341,585

Now, we try dividing 20,341,585 by 3:

20,341,585 ÷ 3 = 6,780,528.3333

If the quotient is a whole number, then 3 and 6,780,528.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,341,585
-1 -20,341,585

Let's try dividing by 4:

20,341,585 ÷ 4 = 5,085,396.25

If the quotient is a whole number, then 4 and 5,085,396.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,341,585
-1 20,341,585
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511551638151,7932,2698,96511,34524,959124,795369,8471,849,2354,068,31720,341,585
-1-5-11-55-163-815-1,793-2,269-8,965-11,345-24,959-124,795-369,847-1,849,235-4,068,317-20,341,585

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