Q: What are the factor combinations of the number 8,870,687?

 A:
Positive:   1 x 88706877 x 1267241593 x 149592137 x 4151
Negative: -1 x -8870687-7 x -1267241-593 x -14959-2137 x -4151


How do I find the factor combinations of the number 8,870,687?

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 8,870,687, 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 8,870,687
-1 -8,870,687

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 8,870,687.

Example:
1 x 8,870,687 = 8,870,687
and
-1 x -8,870,687 = 8,870,687
Notice both answers equal 8,870,687

With that explanation out of the way, let's continue. Next, we take the number 8,870,687 and divide it by 2:

8,870,687 ÷ 2 = 4,435,343.5

If the quotient is a whole number, then 2 and 4,435,343.5 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 8,870,687
-1 -8,870,687

Now, we try dividing 8,870,687 by 3:

8,870,687 ÷ 3 = 2,956,895.6667

If the quotient is a whole number, then 3 and 2,956,895.6667 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 8,870,687
-1 -8,870,687

Let's try dividing by 4:

8,870,687 ÷ 4 = 2,217,671.75

If the quotient is a whole number, then 4 and 2,217,671.75 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 8,870,687
-1 8,870,687
Keep dividing by the next highest number until you cannot divide anymore.

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

175932,1374,15114,9591,267,2418,870,687
-1-7-593-2,137-4,151-14,959-1,267,241-8,870,687

More Examples

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