Q: What are the factor combinations of the number 8,807,675?

 A:
Positive:   1 x 88076755 x 176153525 x 352307571 x 15425617 x 142752855 x 3085
Negative: -1 x -8807675-5 x -1761535-25 x -352307-571 x -15425-617 x -14275-2855 x -3085


How do I find the factor combinations of the number 8,807,675?

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 8,807,675, 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 8,807,675
-1 -8,807,675

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 8,807,675.

Example:
1 x 8,807,675 = 8,807,675
and
-1 x -8,807,675 = 8,807,675
Notice both answers equal 8,807,675

With that explanation out of the way, let's continue. Next, we take the number 8,807,675 and divide it by 2:

8,807,675 ÷ 2 = 4,403,837.5

If the quotient is a whole number, then 2 and 4,403,837.5 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 8,807,675
-1 -8,807,675

Now, we try dividing 8,807,675 by 3:

8,807,675 ÷ 3 = 2,935,891.6667

If the quotient is a whole number, then 3 and 2,935,891.6667 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 8,807,675
-1 -8,807,675

Let's try dividing by 4:

8,807,675 ÷ 4 = 2,201,918.75

If the quotient is a whole number, then 4 and 2,201,918.75 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 8,807,675
-1 8,807,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15255716172,8553,08514,27515,425352,3071,761,5358,807,675
-1-5-25-571-617-2,855-3,085-14,275-15,425-352,307-1,761,535-8,807,675

More Examples

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