Q: What are the factor combinations of the number 20,810,635?

 A:
Positive:   1 x 208106355 x 416212717 x 122415585 x 244831103 x 202045515 x 404091751 x 118852377 x 8755
Negative: -1 x -20810635-5 x -4162127-17 x -1224155-85 x -244831-103 x -202045-515 x -40409-1751 x -11885-2377 x -8755


How do I find the factor combinations of the number 20,810,635?

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 20,810,635, 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 20,810,635
-1 -20,810,635

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 20,810,635.

Example:
1 x 20,810,635 = 20,810,635
and
-1 x -20,810,635 = 20,810,635
Notice both answers equal 20,810,635

With that explanation out of the way, let's continue. Next, we take the number 20,810,635 and divide it by 2:

20,810,635 ÷ 2 = 10,405,317.5

If the quotient is a whole number, then 2 and 10,405,317.5 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 20,810,635
-1 -20,810,635

Now, we try dividing 20,810,635 by 3:

20,810,635 ÷ 3 = 6,936,878.3333

If the quotient is a whole number, then 3 and 6,936,878.3333 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 20,810,635
-1 -20,810,635

Let's try dividing by 4:

20,810,635 ÷ 4 = 5,202,658.75

If the quotient is a whole number, then 4 and 5,202,658.75 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 20,810,635
-1 20,810,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851035151,7512,3778,75511,88540,409202,045244,8311,224,1554,162,12720,810,635
-1-5-17-85-103-515-1,751-2,377-8,755-11,885-40,409-202,045-244,831-1,224,155-4,162,127-20,810,635

More Examples

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