Q: What are the factor combinations of the number 27,004,367?

 A:
Positive:   1 x 2700436713 x 207725947 x 574561193 x 139919229 x 117923611 x 441972509 x 107632977 x 9071
Negative: -1 x -27004367-13 x -2077259-47 x -574561-193 x -139919-229 x -117923-611 x -44197-2509 x -10763-2977 x -9071


How do I find the factor combinations of the number 27,004,367?

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 27,004,367, 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 27,004,367
-1 -27,004,367

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 27,004,367.

Example:
1 x 27,004,367 = 27,004,367
and
-1 x -27,004,367 = 27,004,367
Notice both answers equal 27,004,367

With that explanation out of the way, let's continue. Next, we take the number 27,004,367 and divide it by 2:

27,004,367 ÷ 2 = 13,502,183.5

If the quotient is a whole number, then 2 and 13,502,183.5 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 27,004,367
-1 -27,004,367

Now, we try dividing 27,004,367 by 3:

27,004,367 ÷ 3 = 9,001,455.6667

If the quotient is a whole number, then 3 and 9,001,455.6667 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 27,004,367
-1 -27,004,367

Let's try dividing by 4:

27,004,367 ÷ 4 = 6,751,091.75

If the quotient is a whole number, then 4 and 6,751,091.75 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 27,004,367
-1 27,004,367
Keep dividing by the next highest number until you cannot divide anymore.

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

113471932296112,5092,9779,07110,76344,197117,923139,919574,5612,077,25927,004,367
-1-13-47-193-229-611-2,509-2,977-9,071-10,763-44,197-117,923-139,919-574,561-2,077,259-27,004,367

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