Q: What are the factor combinations of the number 8,710,871?

 A:
Positive:   1 x 871087113 x 67006767 x 13001373 x 119327137 x 63583871 x 10001949 x 91791781 x 4891
Negative: -1 x -8710871-13 x -670067-67 x -130013-73 x -119327-137 x -63583-871 x -10001-949 x -9179-1781 x -4891


How do I find the factor combinations of the number 8,710,871?

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 8,710,871, 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 8,710,871
-1 -8,710,871

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 8,710,871.

Example:
1 x 8,710,871 = 8,710,871
and
-1 x -8,710,871 = 8,710,871
Notice both answers equal 8,710,871

With that explanation out of the way, let's continue. Next, we take the number 8,710,871 and divide it by 2:

8,710,871 ÷ 2 = 4,355,435.5

If the quotient is a whole number, then 2 and 4,355,435.5 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 8,710,871
-1 -8,710,871

Now, we try dividing 8,710,871 by 3:

8,710,871 ÷ 3 = 2,903,623.6667

If the quotient is a whole number, then 3 and 2,903,623.6667 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 8,710,871
-1 -8,710,871

Let's try dividing by 4:

8,710,871 ÷ 4 = 2,177,717.75

If the quotient is a whole number, then 4 and 2,177,717.75 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 8,710,871
-1 8,710,871
Keep dividing by the next highest number until you cannot divide anymore.

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

11367731378719491,7814,8919,17910,00163,583119,327130,013670,0678,710,871
-1-13-67-73-137-871-949-1,781-4,891-9,179-10,001-63,583-119,327-130,013-670,067-8,710,871

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