Q: What are the factor combinations of the number 125,124,215?

 A:
Positive:   1 x 1251242155 x 2502484319 x 658548531 x 403626595 x 1317097155 x 807253589 x 2124352945 x 42487
Negative: -1 x -125124215-5 x -25024843-19 x -6585485-31 x -4036265-95 x -1317097-155 x -807253-589 x -212435-2945 x -42487


How do I find the factor combinations of the number 125,124,215?

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 125,124,215, 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.

1 125,124,215
-1 -125,124,215

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 125,124,215.

Example:
1 x 125,124,215 = 125,124,215
and
-1 x -125,124,215 = 125,124,215
Notice both answers equal 125,124,215

With that explanation out of the way, let's continue. Next, we take the number 125,124,215 and divide it by 2:

125,124,215 ÷ 2 = 62,562,107.5

If the quotient is a whole number, then 2 and 62,562,107.5 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:

1 125,124,215
-1 -125,124,215

Now, we try dividing 125,124,215 by 3:

125,124,215 ÷ 3 = 41,708,071.6667

If the quotient is a whole number, then 3 and 41,708,071.6667 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:

1 125,124,215
-1 -125,124,215

Let's try dividing by 4:

125,124,215 ÷ 4 = 31,281,053.75

If the quotient is a whole number, then 4 and 31,281,053.75 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:

1 125,124,215
-1 125,124,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,94542,487212,435807,2531,317,0974,036,2656,585,48525,024,843125,124,215
-1-5-19-31-95-155-589-2,945-42,487-212,435-807,253-1,317,097-4,036,265-6,585,485-25,024,843-125,124,215

More Examples

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