Q: What are the factor combinations of the number 125,355,655?

 A:
Positive:   1 x 1253556555 x 2507113141 x 3057455205 x 611491293 x 4278351465 x 855672087 x 6006510435 x 12013
Negative: -1 x -125355655-5 x -25071131-41 x -3057455-205 x -611491-293 x -427835-1465 x -85567-2087 x -60065-10435 x -12013


How do I find the factor combinations of the number 125,355,655?

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 125,355,655, 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.

1 125,355,655
-1 -125,355,655

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 125,355,655.

Example:
1 x 125,355,655 = 125,355,655
and
-1 x -125,355,655 = 125,355,655
Notice both answers equal 125,355,655

With that explanation out of the way, let's continue. Next, we take the number 125,355,655 and divide it by 2:

125,355,655 ÷ 2 = 62,677,827.5

If the quotient is a whole number, then 2 and 62,677,827.5 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:

1 125,355,655
-1 -125,355,655

Now, we try dividing 125,355,655 by 3:

125,355,655 ÷ 3 = 41,785,218.3333

If the quotient is a whole number, then 3 and 41,785,218.3333 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:

1 125,355,655
-1 -125,355,655

Let's try dividing by 4:

125,355,655 ÷ 4 = 31,338,913.75

If the quotient is a whole number, then 4 and 31,338,913.75 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:

1 125,355,655
-1 125,355,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052931,4652,08710,43512,01360,06585,567427,835611,4913,057,45525,071,131125,355,655
-1-5-41-205-293-1,465-2,087-10,435-12,013-60,065-85,567-427,835-611,491-3,057,455-25,071,131-125,355,655

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