Q: What are the factor combinations of the number 55,715,515?

 A:
Positive:   1 x 557155155 x 1114310341 x 1358915173 x 322055205 x 271783865 x 644111571 x 354657093 x 7855
Negative: -1 x -55715515-5 x -11143103-41 x -1358915-173 x -322055-205 x -271783-865 x -64411-1571 x -35465-7093 x -7855


How do I find the factor combinations of the number 55,715,515?

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 55,715,515, 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 55,715,515
-1 -55,715,515

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 55,715,515.

Example:
1 x 55,715,515 = 55,715,515
and
-1 x -55,715,515 = 55,715,515
Notice both answers equal 55,715,515

With that explanation out of the way, let's continue. Next, we take the number 55,715,515 and divide it by 2:

55,715,515 ÷ 2 = 27,857,757.5

If the quotient is a whole number, then 2 and 27,857,757.5 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 55,715,515
-1 -55,715,515

Now, we try dividing 55,715,515 by 3:

55,715,515 ÷ 3 = 18,571,838.3333

If the quotient is a whole number, then 3 and 18,571,838.3333 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 55,715,515
-1 -55,715,515

Let's try dividing by 4:

55,715,515 ÷ 4 = 13,928,878.75

If the quotient is a whole number, then 4 and 13,928,878.75 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 55,715,515
-1 55,715,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15411732058651,5717,0937,85535,46564,411271,783322,0551,358,91511,143,10355,715,515
-1-5-41-173-205-865-1,571-7,093-7,855-35,465-64,411-271,783-322,055-1,358,915-11,143,103-55,715,515

More Examples

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