Q: What are the factor combinations of the number 125,001,215?

 A:
Positive:   1 x 1250012155 x 2500024343 x 2907005215 x 581401421 x 2969151381 x 905152105 x 593836905 x 18103
Negative: -1 x -125001215-5 x -25000243-43 x -2907005-215 x -581401-421 x -296915-1381 x -90515-2105 x -59383-6905 x -18103


How do I find the factor combinations of the number 125,001,215?

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 125,001,215, 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.

1 125,001,215
-1 -125,001,215

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 125,001,215.

Example:
1 x 125,001,215 = 125,001,215
and
-1 x -125,001,215 = 125,001,215
Notice both answers equal 125,001,215

With that explanation out of the way, let's continue. Next, we take the number 125,001,215 and divide it by 2:

125,001,215 ÷ 2 = 62,500,607.5

If the quotient is a whole number, then 2 and 62,500,607.5 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:

1 125,001,215
-1 -125,001,215

Now, we try dividing 125,001,215 by 3:

125,001,215 ÷ 3 = 41,667,071.6667

If the quotient is a whole number, then 3 and 41,667,071.6667 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:

1 125,001,215
-1 -125,001,215

Let's try dividing by 4:

125,001,215 ÷ 4 = 31,250,303.75

If the quotient is a whole number, then 4 and 31,250,303.75 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:

1 125,001,215
-1 125,001,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154211,3812,1056,90518,10359,38390,515296,915581,4012,907,00525,000,243125,001,215
-1-5-43-215-421-1,381-2,105-6,905-18,103-59,383-90,515-296,915-581,401-2,907,005-25,000,243-125,001,215

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