Q: What are the factor combinations of the number 207,500,255?

 A:
Positive:   1 x 2075002555 x 4150005137 x 5608115185 x 1121623773 x 2684351451 x 1430053865 x 536877255 x 28601
Negative: -1 x -207500255-5 x -41500051-37 x -5608115-185 x -1121623-773 x -268435-1451 x -143005-3865 x -53687-7255 x -28601


How do I find the factor combinations of the number 207,500,255?

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 207,500,255, 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.

1 207,500,255
-1 -207,500,255

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 207,500,255.

Example:
1 x 207,500,255 = 207,500,255
and
-1 x -207,500,255 = 207,500,255
Notice both answers equal 207,500,255

With that explanation out of the way, let's continue. Next, we take the number 207,500,255 and divide it by 2:

207,500,255 ÷ 2 = 103,750,127.5

If the quotient is a whole number, then 2 and 103,750,127.5 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:

1 207,500,255
-1 -207,500,255

Now, we try dividing 207,500,255 by 3:

207,500,255 ÷ 3 = 69,166,751.6667

If the quotient is a whole number, then 3 and 69,166,751.6667 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:

1 207,500,255
-1 -207,500,255

Let's try dividing by 4:

207,500,255 ÷ 4 = 51,875,063.75

If the quotient is a whole number, then 4 and 51,875,063.75 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:

1 207,500,255
-1 207,500,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857731,4513,8657,25528,60153,687143,005268,4351,121,6235,608,11541,500,051207,500,255
-1-5-37-185-773-1,451-3,865-7,255-28,601-53,687-143,005-268,435-1,121,623-5,608,115-41,500,051-207,500,255

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