Q: What are the factor combinations of the number 125,515,709?

 A:
Positive:   1 x 12551570911 x 1141051917 x 738327747 x 2670547187 x 671207517 x 242777799 x 1570918789 x 14281
Negative: -1 x -125515709-11 x -11410519-17 x -7383277-47 x -2670547-187 x -671207-517 x -242777-799 x -157091-8789 x -14281


How do I find the factor combinations of the number 125,515,709?

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 125,515,709, 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.

1 125,515,709
-1 -125,515,709

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 125,515,709.

Example:
1 x 125,515,709 = 125,515,709
and
-1 x -125,515,709 = 125,515,709
Notice both answers equal 125,515,709

With that explanation out of the way, let's continue. Next, we take the number 125,515,709 and divide it by 2:

125,515,709 ÷ 2 = 62,757,854.5

If the quotient is a whole number, then 2 and 62,757,854.5 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:

1 125,515,709
-1 -125,515,709

Now, we try dividing 125,515,709 by 3:

125,515,709 ÷ 3 = 41,838,569.6667

If the quotient is a whole number, then 3 and 41,838,569.6667 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:

1 125,515,709
-1 -125,515,709

Let's try dividing by 4:

125,515,709 ÷ 4 = 31,378,927.25

If the quotient is a whole number, then 4 and 31,378,927.25 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:

1 125,515,709
-1 125,515,709
Keep dividing by the next highest number until you cannot divide anymore.

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

11117471875177998,78914,281157,091242,777671,2072,670,5477,383,27711,410,519125,515,709
-1-11-17-47-187-517-799-8,789-14,281-157,091-242,777-671,207-2,670,547-7,383,277-11,410,519-125,515,709

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