Q: What are the factor combinations of the number 8,500,789?

 A:
Positive:   1 x 850078911 x 77279931 x 27421997 x 87637257 x 33077341 x 249291067 x 79672827 x 3007
Negative: -1 x -8500789-11 x -772799-31 x -274219-97 x -87637-257 x -33077-341 x -24929-1067 x -7967-2827 x -3007


How do I find the factor combinations of the number 8,500,789?

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 8,500,789, 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 8,500,789
-1 -8,500,789

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 8,500,789.

Example:
1 x 8,500,789 = 8,500,789
and
-1 x -8,500,789 = 8,500,789
Notice both answers equal 8,500,789

With that explanation out of the way, let's continue. Next, we take the number 8,500,789 and divide it by 2:

8,500,789 ÷ 2 = 4,250,394.5

If the quotient is a whole number, then 2 and 4,250,394.5 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 8,500,789
-1 -8,500,789

Now, we try dividing 8,500,789 by 3:

8,500,789 ÷ 3 = 2,833,596.3333

If the quotient is a whole number, then 3 and 2,833,596.3333 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 8,500,789
-1 -8,500,789

Let's try dividing by 4:

8,500,789 ÷ 4 = 2,125,197.25

If the quotient is a whole number, then 4 and 2,125,197.25 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 8,500,789
-1 8,500,789
Keep dividing by the next highest number until you cannot divide anymore.

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

11131972573411,0672,8273,0077,96724,92933,07787,637274,219772,7998,500,789
-1-11-31-97-257-341-1,067-2,827-3,007-7,967-24,929-33,077-87,637-274,219-772,799-8,500,789

More Examples

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