Q: What are the factor combinations of the number 124,825,855?

 A:
Positive:   1 x 1248258555 x 249651717 x 1783226511 x 1134780535 x 356645355 x 226956177 x 1621115385 x 324223
Negative: -1 x -124825855-5 x -24965171-7 x -17832265-11 x -11347805-35 x -3566453-55 x -2269561-77 x -1621115-385 x -324223


How do I find the factor combinations of the number 124,825,855?

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 124,825,855, 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.

1 124,825,855
-1 -124,825,855

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 124,825,855.

Example:
1 x 124,825,855 = 124,825,855
and
-1 x -124,825,855 = 124,825,855
Notice both answers equal 124,825,855

With that explanation out of the way, let's continue. Next, we take the number 124,825,855 and divide it by 2:

124,825,855 ÷ 2 = 62,412,927.5

If the quotient is a whole number, then 2 and 62,412,927.5 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:

1 124,825,855
-1 -124,825,855

Now, we try dividing 124,825,855 by 3:

124,825,855 ÷ 3 = 41,608,618.3333

If the quotient is a whole number, then 3 and 41,608,618.3333 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:

1 124,825,855
-1 -124,825,855

Let's try dividing by 4:

124,825,855 ÷ 4 = 31,206,463.75

If the quotient is a whole number, then 4 and 31,206,463.75 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:

1 124,825,855
-1 124,825,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385324,2231,621,1152,269,5613,566,45311,347,80517,832,26524,965,171124,825,855
-1-5-7-11-35-55-77-385-324,223-1,621,115-2,269,561-3,566,453-11,347,805-17,832,265-24,965,171-124,825,855

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