Q: What are the factor combinations of the number 5,507,827?

 A:
Positive:   1 x 550782713 x 42367943 x 12808959 x 93353167 x 32981559 x 9853767 x 71812171 x 2537
Negative: -1 x -5507827-13 x -423679-43 x -128089-59 x -93353-167 x -32981-559 x -9853-767 x -7181-2171 x -2537


How do I find the factor combinations of the number 5,507,827?

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 5,507,827, 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 5,507,827
-1 -5,507,827

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 5,507,827.

Example:
1 x 5,507,827 = 5,507,827
and
-1 x -5,507,827 = 5,507,827
Notice both answers equal 5,507,827

With that explanation out of the way, let's continue. Next, we take the number 5,507,827 and divide it by 2:

5,507,827 ÷ 2 = 2,753,913.5

If the quotient is a whole number, then 2 and 2,753,913.5 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 5,507,827
-1 -5,507,827

Now, we try dividing 5,507,827 by 3:

5,507,827 ÷ 3 = 1,835,942.3333

If the quotient is a whole number, then 3 and 1,835,942.3333 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 5,507,827
-1 -5,507,827

Let's try dividing by 4:

5,507,827 ÷ 4 = 1,376,956.75

If the quotient is a whole number, then 4 and 1,376,956.75 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 5,507,827
-1 5,507,827
Keep dividing by the next highest number until you cannot divide anymore.

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

11343591675597672,1712,5377,1819,85332,98193,353128,089423,6795,507,827
-1-13-43-59-167-559-767-2,171-2,537-7,181-9,853-32,981-93,353-128,089-423,679-5,507,827

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