Q: What are the factor combinations of the number 8,687,255?

 A:
Positive:   1 x 86872555 x 173745117 x 51101585 x 102203
Negative: -1 x -8687255-5 x -1737451-17 x -511015-85 x -102203


How do I find the factor combinations of the number 8,687,255?

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 8,687,255, 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 8,687,255
-1 -8,687,255

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 8,687,255.

Example:
1 x 8,687,255 = 8,687,255
and
-1 x -8,687,255 = 8,687,255
Notice both answers equal 8,687,255

With that explanation out of the way, let's continue. Next, we take the number 8,687,255 and divide it by 2:

8,687,255 ÷ 2 = 4,343,627.5

If the quotient is a whole number, then 2 and 4,343,627.5 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 8,687,255
-1 -8,687,255

Now, we try dividing 8,687,255 by 3:

8,687,255 ÷ 3 = 2,895,751.6667

If the quotient is a whole number, then 3 and 2,895,751.6667 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 8,687,255
-1 -8,687,255

Let's try dividing by 4:

8,687,255 ÷ 4 = 2,171,813.75

If the quotient is a whole number, then 4 and 2,171,813.75 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 8,687,255
-1 8,687,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151785102,203511,0151,737,4518,687,255
-1-5-17-85-102,203-511,015-1,737,451-8,687,255

More Examples

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