Q: What are the factor combinations of the number 55,625,555?

 A:
Positive:   1 x 556255555 x 11125111107 x 519865173 x 321535535 x 103973601 x 92555865 x 643073005 x 18511
Negative: -1 x -55625555-5 x -11125111-107 x -519865-173 x -321535-535 x -103973-601 x -92555-865 x -64307-3005 x -18511


How do I find the factor combinations of the number 55,625,555?

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 55,625,555, 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 55,625,555
-1 -55,625,555

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 55,625,555.

Example:
1 x 55,625,555 = 55,625,555
and
-1 x -55,625,555 = 55,625,555
Notice both answers equal 55,625,555

With that explanation out of the way, let's continue. Next, we take the number 55,625,555 and divide it by 2:

55,625,555 ÷ 2 = 27,812,777.5

If the quotient is a whole number, then 2 and 27,812,777.5 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 55,625,555
-1 -55,625,555

Now, we try dividing 55,625,555 by 3:

55,625,555 ÷ 3 = 18,541,851.6667

If the quotient is a whole number, then 3 and 18,541,851.6667 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 55,625,555
-1 -55,625,555

Let's try dividing by 4:

55,625,555 ÷ 4 = 13,906,388.75

If the quotient is a whole number, then 4 and 13,906,388.75 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 55,625,555
-1 55,625,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151071735356018653,00518,51164,30792,555103,973321,535519,86511,125,11155,625,555
-1-5-107-173-535-601-865-3,005-18,511-64,307-92,555-103,973-321,535-519,865-11,125,111-55,625,555

More Examples

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