Q: What are the factor combinations of the number 27,402,791?

 A:
Positive:   1 x 2740279113 x 210790731 x 88396197 x 282503403 x 67997701 x 390911261 x 217313007 x 9113
Negative: -1 x -27402791-13 x -2107907-31 x -883961-97 x -282503-403 x -67997-701 x -39091-1261 x -21731-3007 x -9113


How do I find the factor combinations of the number 27,402,791?

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 27,402,791, 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 27,402,791
-1 -27,402,791

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 27,402,791.

Example:
1 x 27,402,791 = 27,402,791
and
-1 x -27,402,791 = 27,402,791
Notice both answers equal 27,402,791

With that explanation out of the way, let's continue. Next, we take the number 27,402,791 and divide it by 2:

27,402,791 ÷ 2 = 13,701,395.5

If the quotient is a whole number, then 2 and 13,701,395.5 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 27,402,791
-1 -27,402,791

Now, we try dividing 27,402,791 by 3:

27,402,791 ÷ 3 = 9,134,263.6667

If the quotient is a whole number, then 3 and 9,134,263.6667 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 27,402,791
-1 -27,402,791

Let's try dividing by 4:

27,402,791 ÷ 4 = 6,850,697.75

If the quotient is a whole number, then 4 and 6,850,697.75 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 27,402,791
-1 27,402,791
Keep dividing by the next highest number until you cannot divide anymore.

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

11331974037011,2613,0079,11321,73139,09167,997282,503883,9612,107,90727,402,791
-1-13-31-97-403-701-1,261-3,007-9,113-21,731-39,091-67,997-282,503-883,961-2,107,907-27,402,791

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