Q: What are the factor combinations of the number 56,543,855?

 A:
Positive:   1 x 565438555 x 1130877179 x 715745257 x 220015395 x 143149557 x 1015151285 x 440032785 x 20303
Negative: -1 x -56543855-5 x -11308771-79 x -715745-257 x -220015-395 x -143149-557 x -101515-1285 x -44003-2785 x -20303


How do I find the factor combinations of the number 56,543,855?

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 56,543,855, 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 56,543,855
-1 -56,543,855

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 56,543,855.

Example:
1 x 56,543,855 = 56,543,855
and
-1 x -56,543,855 = 56,543,855
Notice both answers equal 56,543,855

With that explanation out of the way, let's continue. Next, we take the number 56,543,855 and divide it by 2:

56,543,855 ÷ 2 = 28,271,927.5

If the quotient is a whole number, then 2 and 28,271,927.5 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 56,543,855
-1 -56,543,855

Now, we try dividing 56,543,855 by 3:

56,543,855 ÷ 3 = 18,847,951.6667

If the quotient is a whole number, then 3 and 18,847,951.6667 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 56,543,855
-1 -56,543,855

Let's try dividing by 4:

56,543,855 ÷ 4 = 14,135,963.75

If the quotient is a whole number, then 4 and 14,135,963.75 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 56,543,855
-1 56,543,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15792573955571,2852,78520,30344,003101,515143,149220,015715,74511,308,77156,543,855
-1-5-79-257-395-557-1,285-2,785-20,303-44,003-101,515-143,149-220,015-715,745-11,308,771-56,543,855

More Examples

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