Q: What are the factor combinations of the number 215,356,255?

 A:
Positive:   1 x 2153562555 x 4307125117 x 1266801543 x 500828585 x 2533603215 x 1001657731 x 2946053655 x 58921
Negative: -1 x -215356255-5 x -43071251-17 x -12668015-43 x -5008285-85 x -2533603-215 x -1001657-731 x -294605-3655 x -58921


How do I find the factor combinations of the number 215,356,255?

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 215,356,255, 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.

1 215,356,255
-1 -215,356,255

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 215,356,255.

Example:
1 x 215,356,255 = 215,356,255
and
-1 x -215,356,255 = 215,356,255
Notice both answers equal 215,356,255

With that explanation out of the way, let's continue. Next, we take the number 215,356,255 and divide it by 2:

215,356,255 ÷ 2 = 107,678,127.5

If the quotient is a whole number, then 2 and 107,678,127.5 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:

1 215,356,255
-1 -215,356,255

Now, we try dividing 215,356,255 by 3:

215,356,255 ÷ 3 = 71,785,418.3333

If the quotient is a whole number, then 3 and 71,785,418.3333 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:

1 215,356,255
-1 -215,356,255

Let's try dividing by 4:

215,356,255 ÷ 4 = 53,839,063.75

If the quotient is a whole number, then 4 and 53,839,063.75 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:

1 215,356,255
-1 215,356,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151743852157313,65558,921294,6051,001,6572,533,6035,008,28512,668,01543,071,251215,356,255
-1-5-17-43-85-215-731-3,655-58,921-294,605-1,001,657-2,533,603-5,008,285-12,668,015-43,071,251-215,356,255

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