Q: What are the factor combinations of the number 55,205,545?

 A:
Positive:   1 x 552055455 x 1104110917 x 324738519 x 290555585 x 64947795 x 581111323 x 1709151615 x 34183
Negative: -1 x -55205545-5 x -11041109-17 x -3247385-19 x -2905555-85 x -649477-95 x -581111-323 x -170915-1615 x -34183


How do I find the factor combinations of the number 55,205,545?

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 55,205,545, 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 55,205,545
-1 -55,205,545

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 55,205,545.

Example:
1 x 55,205,545 = 55,205,545
and
-1 x -55,205,545 = 55,205,545
Notice both answers equal 55,205,545

With that explanation out of the way, let's continue. Next, we take the number 55,205,545 and divide it by 2:

55,205,545 ÷ 2 = 27,602,772.5

If the quotient is a whole number, then 2 and 27,602,772.5 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 55,205,545
-1 -55,205,545

Now, we try dividing 55,205,545 by 3:

55,205,545 ÷ 3 = 18,401,848.3333

If the quotient is a whole number, then 3 and 18,401,848.3333 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 55,205,545
-1 -55,205,545

Let's try dividing by 4:

55,205,545 ÷ 4 = 13,801,386.25

If the quotient is a whole number, then 4 and 13,801,386.25 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 55,205,545
-1 55,205,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61534,183170,915581,111649,4772,905,5553,247,38511,041,10955,205,545
-1-5-17-19-85-95-323-1,615-34,183-170,915-581,111-649,477-2,905,555-3,247,385-11,041,109-55,205,545

More Examples

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