Q: What are the factor combinations of the number 215,450,305?

 A:
Positive:   1 x 2154503055 x 430900617 x 3077861535 x 615572349 x 4396945245 x 879389343 x 6281351715 x 125627
Negative: -1 x -215450305-5 x -43090061-7 x -30778615-35 x -6155723-49 x -4396945-245 x -879389-343 x -628135-1715 x -125627


How do I find the factor combinations of the number 215,450,305?

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 215,450,305, 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.

1 215,450,305
-1 -215,450,305

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 215,450,305.

Example:
1 x 215,450,305 = 215,450,305
and
-1 x -215,450,305 = 215,450,305
Notice both answers equal 215,450,305

With that explanation out of the way, let's continue. Next, we take the number 215,450,305 and divide it by 2:

215,450,305 ÷ 2 = 107,725,152.5

If the quotient is a whole number, then 2 and 107,725,152.5 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:

1 215,450,305
-1 -215,450,305

Now, we try dividing 215,450,305 by 3:

215,450,305 ÷ 3 = 71,816,768.3333

If the quotient is a whole number, then 3 and 71,816,768.3333 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:

1 215,450,305
-1 -215,450,305

Let's try dividing by 4:

215,450,305 ÷ 4 = 53,862,576.25

If the quotient is a whole number, then 4 and 53,862,576.25 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:

1 215,450,305
-1 215,450,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,715125,627628,135879,3894,396,9456,155,72330,778,61543,090,061215,450,305
-1-5-7-35-49-245-343-1,715-125,627-628,135-879,389-4,396,945-6,155,723-30,778,615-43,090,061-215,450,305

More Examples

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