Q: What are the factor combinations of the number 204,156,655?

 A:
Positive:   1 x 2041566555 x 4083133117 x 1200921585 x 240184389 x 2293895445 x 4587791513 x 1349357565 x 26987
Negative: -1 x -204156655-5 x -40831331-17 x -12009215-85 x -2401843-89 x -2293895-445 x -458779-1513 x -134935-7565 x -26987


How do I find the factor combinations of the number 204,156,655?

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 204,156,655, 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.

1 204,156,655
-1 -204,156,655

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 204,156,655.

Example:
1 x 204,156,655 = 204,156,655
and
-1 x -204,156,655 = 204,156,655
Notice both answers equal 204,156,655

With that explanation out of the way, let's continue. Next, we take the number 204,156,655 and divide it by 2:

204,156,655 ÷ 2 = 102,078,327.5

If the quotient is a whole number, then 2 and 102,078,327.5 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:

1 204,156,655
-1 -204,156,655

Now, we try dividing 204,156,655 by 3:

204,156,655 ÷ 3 = 68,052,218.3333

If the quotient is a whole number, then 3 and 68,052,218.3333 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:

1 204,156,655
-1 -204,156,655

Let's try dividing by 4:

204,156,655 ÷ 4 = 51,039,163.75

If the quotient is a whole number, then 4 and 51,039,163.75 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:

1 204,156,655
-1 204,156,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151785894451,5137,56526,987134,935458,7792,293,8952,401,84312,009,21540,831,331204,156,655
-1-5-17-85-89-445-1,513-7,565-26,987-134,935-458,779-2,293,895-2,401,843-12,009,215-40,831,331-204,156,655

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