Q: What are the factor combinations of the number 8,860,825?

 A:
Positive:   1 x 88608255 x 177216517 x 52122525 x 35443385 x 104245425 x 20849
Negative: -1 x -8860825-5 x -1772165-17 x -521225-25 x -354433-85 x -104245-425 x -20849


How do I find the factor combinations of the number 8,860,825?

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 8,860,825, 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 8,860,825
-1 -8,860,825

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 8,860,825.

Example:
1 x 8,860,825 = 8,860,825
and
-1 x -8,860,825 = 8,860,825
Notice both answers equal 8,860,825

With that explanation out of the way, let's continue. Next, we take the number 8,860,825 and divide it by 2:

8,860,825 ÷ 2 = 4,430,412.5

If the quotient is a whole number, then 2 and 4,430,412.5 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 8,860,825
-1 -8,860,825

Now, we try dividing 8,860,825 by 3:

8,860,825 ÷ 3 = 2,953,608.3333

If the quotient is a whole number, then 3 and 2,953,608.3333 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 8,860,825
-1 -8,860,825

Let's try dividing by 4:

8,860,825 ÷ 4 = 2,215,206.25

If the quotient is a whole number, then 4 and 2,215,206.25 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 8,860,825
-1 8,860,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1517258542520,849104,245354,433521,2251,772,1658,860,825
-1-5-17-25-85-425-20,849-104,245-354,433-521,225-1,772,165-8,860,825

More Examples

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