Q: What are the factor combinations of the number 20,631,755?

 A:
Positive:   1 x 206317555 x 412635137 x 557615185 x 111523229 x 90095487 x 423651145 x 180192435 x 8473
Negative: -1 x -20631755-5 x -4126351-37 x -557615-185 x -111523-229 x -90095-487 x -42365-1145 x -18019-2435 x -8473


How do I find the factor combinations of the number 20,631,755?

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 20,631,755, 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 20,631,755
-1 -20,631,755

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 20,631,755.

Example:
1 x 20,631,755 = 20,631,755
and
-1 x -20,631,755 = 20,631,755
Notice both answers equal 20,631,755

With that explanation out of the way, let's continue. Next, we take the number 20,631,755 and divide it by 2:

20,631,755 ÷ 2 = 10,315,877.5

If the quotient is a whole number, then 2 and 10,315,877.5 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 20,631,755
-1 -20,631,755

Now, we try dividing 20,631,755 by 3:

20,631,755 ÷ 3 = 6,877,251.6667

If the quotient is a whole number, then 3 and 6,877,251.6667 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 20,631,755
-1 -20,631,755

Let's try dividing by 4:

20,631,755 ÷ 4 = 5,157,938.75

If the quotient is a whole number, then 4 and 5,157,938.75 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 20,631,755
-1 20,631,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852294871,1452,4358,47318,01942,36590,095111,523557,6154,126,35120,631,755
-1-5-37-185-229-487-1,145-2,435-8,473-18,019-42,365-90,095-111,523-557,615-4,126,351-20,631,755

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