Q: What are the factor combinations of the number 56,011,655?

 A:
Positive:   1 x 560116555 x 112023317 x 800166535 x 160033349 x 1143095245 x 228619
Negative: -1 x -56011655-5 x -11202331-7 x -8001665-35 x -1600333-49 x -1143095-245 x -228619


How do I find the factor combinations of the number 56,011,655?

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 56,011,655, 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 56,011,655
-1 -56,011,655

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 56,011,655.

Example:
1 x 56,011,655 = 56,011,655
and
-1 x -56,011,655 = 56,011,655
Notice both answers equal 56,011,655

With that explanation out of the way, let's continue. Next, we take the number 56,011,655 and divide it by 2:

56,011,655 ÷ 2 = 28,005,827.5

If the quotient is a whole number, then 2 and 28,005,827.5 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 56,011,655
-1 -56,011,655

Now, we try dividing 56,011,655 by 3:

56,011,655 ÷ 3 = 18,670,551.6667

If the quotient is a whole number, then 3 and 18,670,551.6667 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 56,011,655
-1 -56,011,655

Let's try dividing by 4:

56,011,655 ÷ 4 = 14,002,913.75

If the quotient is a whole number, then 4 and 14,002,913.75 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 56,011,655
-1 56,011,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549245228,6191,143,0951,600,3338,001,66511,202,33156,011,655
-1-5-7-35-49-245-228,619-1,143,095-1,600,333-8,001,665-11,202,331-56,011,655

More Examples

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