Q: What are the factor combinations of the number 55,866,655?

 A:
Positive:   1 x 558666555 x 1117333113 x 429743523 x 242898565 x 859487115 x 485797299 x 1868451495 x 37369
Negative: -1 x -55866655-5 x -11173331-13 x -4297435-23 x -2428985-65 x -859487-115 x -485797-299 x -186845-1495 x -37369


How do I find the factor combinations of the number 55,866,655?

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 55,866,655, 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 55,866,655
-1 -55,866,655

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 55,866,655.

Example:
1 x 55,866,655 = 55,866,655
and
-1 x -55,866,655 = 55,866,655
Notice both answers equal 55,866,655

With that explanation out of the way, let's continue. Next, we take the number 55,866,655 and divide it by 2:

55,866,655 ÷ 2 = 27,933,327.5

If the quotient is a whole number, then 2 and 27,933,327.5 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 55,866,655
-1 -55,866,655

Now, we try dividing 55,866,655 by 3:

55,866,655 ÷ 3 = 18,622,218.3333

If the quotient is a whole number, then 3 and 18,622,218.3333 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 55,866,655
-1 -55,866,655

Let's try dividing by 4:

55,866,655 ÷ 4 = 13,966,663.75

If the quotient is a whole number, then 4 and 13,966,663.75 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 55,866,655
-1 55,866,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,49537,369186,845485,797859,4872,428,9854,297,43511,173,33155,866,655
-1-5-13-23-65-115-299-1,495-37,369-186,845-485,797-859,487-2,428,985-4,297,435-11,173,331-55,866,655

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