Q: What are the factor combinations of the number 125,115,055?

 A:
Positive:   1 x 1251150555 x 2502301113 x 962423523 x 543978565 x 1924847115 x 1087957299 x 4184451495 x 83689
Negative: -1 x -125115055-5 x -25023011-13 x -9624235-23 x -5439785-65 x -1924847-115 x -1087957-299 x -418445-1495 x -83689


How do I find the factor combinations of the number 125,115,055?

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 125,115,055, 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.

1 125,115,055
-1 -125,115,055

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 125,115,055.

Example:
1 x 125,115,055 = 125,115,055
and
-1 x -125,115,055 = 125,115,055
Notice both answers equal 125,115,055

With that explanation out of the way, let's continue. Next, we take the number 125,115,055 and divide it by 2:

125,115,055 ÷ 2 = 62,557,527.5

If the quotient is a whole number, then 2 and 62,557,527.5 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:

1 125,115,055
-1 -125,115,055

Now, we try dividing 125,115,055 by 3:

125,115,055 ÷ 3 = 41,705,018.3333

If the quotient is a whole number, then 3 and 41,705,018.3333 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:

1 125,115,055
-1 -125,115,055

Let's try dividing by 4:

125,115,055 ÷ 4 = 31,278,763.75

If the quotient is a whole number, then 4 and 31,278,763.75 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:

1 125,115,055
-1 125,115,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,49583,689418,4451,087,9571,924,8475,439,7859,624,23525,023,011125,115,055
-1-5-13-23-65-115-299-1,495-83,689-418,445-1,087,957-1,924,847-5,439,785-9,624,235-25,023,011-125,115,055

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