Q: What are the factor combinations of the number 202,310,231?

 A:
Positive:   1 x 20231023123 x 879609747 x 430447379 x 2560889103 x 1964177529 x 3824391081 x 1871511817 x 1113432369 x 853993713 x 544874841 x 417918137 x 24863
Negative: -1 x -202310231-23 x -8796097-47 x -4304473-79 x -2560889-103 x -1964177-529 x -382439-1081 x -187151-1817 x -111343-2369 x -85399-3713 x -54487-4841 x -41791-8137 x -24863


How do I find the factor combinations of the number 202,310,231?

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 202,310,231, 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.

1 202,310,231
-1 -202,310,231

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 202,310,231.

Example:
1 x 202,310,231 = 202,310,231
and
-1 x -202,310,231 = 202,310,231
Notice both answers equal 202,310,231

With that explanation out of the way, let's continue. Next, we take the number 202,310,231 and divide it by 2:

202,310,231 ÷ 2 = 101,155,115.5

If the quotient is a whole number, then 2 and 101,155,115.5 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:

1 202,310,231
-1 -202,310,231

Now, we try dividing 202,310,231 by 3:

202,310,231 ÷ 3 = 67,436,743.6667

If the quotient is a whole number, then 3 and 67,436,743.6667 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:

1 202,310,231
-1 -202,310,231

Let's try dividing by 4:

202,310,231 ÷ 4 = 50,577,557.75

If the quotient is a whole number, then 4 and 50,577,557.75 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:

1 202,310,231
-1 202,310,231
Keep dividing by the next highest number until you cannot divide anymore.

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

12347791035291,0811,8172,3693,7134,8418,13724,86341,79154,48785,399111,343187,151382,4391,964,1772,560,8894,304,4738,796,097202,310,231
-1-23-47-79-103-529-1,081-1,817-2,369-3,713-4,841-8,137-24,863-41,791-54,487-85,399-111,343-187,151-382,439-1,964,177-2,560,889-4,304,473-8,796,097-202,310,231

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