Q: What are the factor combinations of the number 55,811,345?

 A:
Positive:   1 x 558113455 x 1116226959 x 945955277 x 201485295 x 189191683 x 817151385 x 402973415 x 16343
Negative: -1 x -55811345-5 x -11162269-59 x -945955-277 x -201485-295 x -189191-683 x -81715-1385 x -40297-3415 x -16343


How do I find the factor combinations of the number 55,811,345?

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 55,811,345, 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 55,811,345
-1 -55,811,345

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 55,811,345.

Example:
1 x 55,811,345 = 55,811,345
and
-1 x -55,811,345 = 55,811,345
Notice both answers equal 55,811,345

With that explanation out of the way, let's continue. Next, we take the number 55,811,345 and divide it by 2:

55,811,345 ÷ 2 = 27,905,672.5

If the quotient is a whole number, then 2 and 27,905,672.5 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 55,811,345
-1 -55,811,345

Now, we try dividing 55,811,345 by 3:

55,811,345 ÷ 3 = 18,603,781.6667

If the quotient is a whole number, then 3 and 18,603,781.6667 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 55,811,345
-1 -55,811,345

Let's try dividing by 4:

55,811,345 ÷ 4 = 13,952,836.25

If the quotient is a whole number, then 4 and 13,952,836.25 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 55,811,345
-1 55,811,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15592772956831,3853,41516,34340,29781,715189,191201,485945,95511,162,26955,811,345
-1-5-59-277-295-683-1,385-3,415-16,343-40,297-81,715-189,191-201,485-945,955-11,162,269-55,811,345

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