Q: What are the factor combinations of the number 8,417,675?

 A:
Positive:   1 x 84176755 x 16835357 x 120252525 x 33670735 x 240505103 x 81725175 x 48101467 x 18025515 x 16345721 x 116752335 x 36052575 x 3269
Negative: -1 x -8417675-5 x -1683535-7 x -1202525-25 x -336707-35 x -240505-103 x -81725-175 x -48101-467 x -18025-515 x -16345-721 x -11675-2335 x -3605-2575 x -3269


How do I find the factor combinations of the number 8,417,675?

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 8,417,675, 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 8,417,675
-1 -8,417,675

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 8,417,675.

Example:
1 x 8,417,675 = 8,417,675
and
-1 x -8,417,675 = 8,417,675
Notice both answers equal 8,417,675

With that explanation out of the way, let's continue. Next, we take the number 8,417,675 and divide it by 2:

8,417,675 ÷ 2 = 4,208,837.5

If the quotient is a whole number, then 2 and 4,208,837.5 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 8,417,675
-1 -8,417,675

Now, we try dividing 8,417,675 by 3:

8,417,675 ÷ 3 = 2,805,891.6667

If the quotient is a whole number, then 3 and 2,805,891.6667 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 8,417,675
-1 -8,417,675

Let's try dividing by 4:

8,417,675 ÷ 4 = 2,104,418.75

If the quotient is a whole number, then 4 and 2,104,418.75 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 8,417,675
-1 8,417,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351031754675157212,3352,5753,2693,60511,67516,34518,02548,10181,725240,505336,7071,202,5251,683,5358,417,675
-1-5-7-25-35-103-175-467-515-721-2,335-2,575-3,269-3,605-11,675-16,345-18,025-48,101-81,725-240,505-336,707-1,202,525-1,683,535-8,417,675

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