Q: What are the factor combinations of the number 215,516,255?

 A:
Positive:   1 x 2155162555 x 4310325129 x 7431595145 x 1486319157 x 1372715785 x 2745434553 x 473359467 x 22765
Negative: -1 x -215516255-5 x -43103251-29 x -7431595-145 x -1486319-157 x -1372715-785 x -274543-4553 x -47335-9467 x -22765


How do I find the factor combinations of the number 215,516,255?

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 215,516,255, 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.

1 215,516,255
-1 -215,516,255

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 215,516,255.

Example:
1 x 215,516,255 = 215,516,255
and
-1 x -215,516,255 = 215,516,255
Notice both answers equal 215,516,255

With that explanation out of the way, let's continue. Next, we take the number 215,516,255 and divide it by 2:

215,516,255 ÷ 2 = 107,758,127.5

If the quotient is a whole number, then 2 and 107,758,127.5 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:

1 215,516,255
-1 -215,516,255

Now, we try dividing 215,516,255 by 3:

215,516,255 ÷ 3 = 71,838,751.6667

If the quotient is a whole number, then 3 and 71,838,751.6667 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:

1 215,516,255
-1 -215,516,255

Let's try dividing by 4:

215,516,255 ÷ 4 = 53,879,063.75

If the quotient is a whole number, then 4 and 53,879,063.75 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:

1 215,516,255
-1 215,516,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451577854,5539,46722,76547,335274,5431,372,7151,486,3197,431,59543,103,251215,516,255
-1-5-29-145-157-785-4,553-9,467-22,765-47,335-274,543-1,372,715-1,486,319-7,431,595-43,103,251-215,516,255

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