Q: What are the factor combinations of the number 55,716,055?

 A:
Positive:   1 x 557160555 x 1114321117 x 327741585 x 655483347 x 1605651735 x 321131889 x 294955899 x 9445
Negative: -1 x -55716055-5 x -11143211-17 x -3277415-85 x -655483-347 x -160565-1735 x -32113-1889 x -29495-5899 x -9445


How do I find the factor combinations of the number 55,716,055?

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 55,716,055, 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 55,716,055
-1 -55,716,055

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 55,716,055.

Example:
1 x 55,716,055 = 55,716,055
and
-1 x -55,716,055 = 55,716,055
Notice both answers equal 55,716,055

With that explanation out of the way, let's continue. Next, we take the number 55,716,055 and divide it by 2:

55,716,055 ÷ 2 = 27,858,027.5

If the quotient is a whole number, then 2 and 27,858,027.5 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 55,716,055
-1 -55,716,055

Now, we try dividing 55,716,055 by 3:

55,716,055 ÷ 3 = 18,572,018.3333

If the quotient is a whole number, then 3 and 18,572,018.3333 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 55,716,055
-1 -55,716,055

Let's try dividing by 4:

55,716,055 ÷ 4 = 13,929,013.75

If the quotient is a whole number, then 4 and 13,929,013.75 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 55,716,055
-1 55,716,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853471,7351,8895,8999,44529,49532,113160,565655,4833,277,41511,143,21155,716,055
-1-5-17-85-347-1,735-1,889-5,899-9,445-29,495-32,113-160,565-655,483-3,277,415-11,143,211-55,716,055

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