Q: What are the factor combinations of the number 125,165,215?

 A:
Positive:   1 x 1251652155 x 250330437 x 1788074535 x 3576149149 x 840035745 x 1680071043 x 1200055215 x 24001
Negative: -1 x -125165215-5 x -25033043-7 x -17880745-35 x -3576149-149 x -840035-745 x -168007-1043 x -120005-5215 x -24001


How do I find the factor combinations of the number 125,165,215?

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 125,165,215, 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.

1 125,165,215
-1 -125,165,215

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 125,165,215.

Example:
1 x 125,165,215 = 125,165,215
and
-1 x -125,165,215 = 125,165,215
Notice both answers equal 125,165,215

With that explanation out of the way, let's continue. Next, we take the number 125,165,215 and divide it by 2:

125,165,215 ÷ 2 = 62,582,607.5

If the quotient is a whole number, then 2 and 62,582,607.5 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:

1 125,165,215
-1 -125,165,215

Now, we try dividing 125,165,215 by 3:

125,165,215 ÷ 3 = 41,721,738.3333

If the quotient is a whole number, then 3 and 41,721,738.3333 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:

1 125,165,215
-1 -125,165,215

Let's try dividing by 4:

125,165,215 ÷ 4 = 31,291,303.75

If the quotient is a whole number, then 4 and 31,291,303.75 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:

1 125,165,215
-1 125,165,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0435,21524,001120,005168,007840,0353,576,14917,880,74525,033,043125,165,215
-1-5-7-35-149-745-1,043-5,215-24,001-120,005-168,007-840,035-3,576,149-17,880,745-25,033,043-125,165,215

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