Q: What are the factor combinations of the number 202,027,855?

 A:
Positive:   1 x 2020278555 x 4040557119 x 1063304547 x 429846595 x 2126609235 x 859693893 x 2262354465 x 45247
Negative: -1 x -202027855-5 x -40405571-19 x -10633045-47 x -4298465-95 x -2126609-235 x -859693-893 x -226235-4465 x -45247


How do I find the factor combinations of the number 202,027,855?

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 202,027,855, 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.

1 202,027,855
-1 -202,027,855

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 202,027,855.

Example:
1 x 202,027,855 = 202,027,855
and
-1 x -202,027,855 = 202,027,855
Notice both answers equal 202,027,855

With that explanation out of the way, let's continue. Next, we take the number 202,027,855 and divide it by 2:

202,027,855 ÷ 2 = 101,013,927.5

If the quotient is a whole number, then 2 and 101,013,927.5 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:

1 202,027,855
-1 -202,027,855

Now, we try dividing 202,027,855 by 3:

202,027,855 ÷ 3 = 67,342,618.3333

If the quotient is a whole number, then 3 and 67,342,618.3333 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:

1 202,027,855
-1 -202,027,855

Let's try dividing by 4:

202,027,855 ÷ 4 = 50,506,963.75

If the quotient is a whole number, then 4 and 50,506,963.75 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:

1 202,027,855
-1 202,027,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952358934,46545,247226,235859,6932,126,6094,298,46510,633,04540,405,571202,027,855
-1-5-19-47-95-235-893-4,465-45,247-226,235-859,693-2,126,609-4,298,465-10,633,045-40,405,571-202,027,855

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