Q: What are the factor combinations of the number 231,130,243?

 A:
Positive:   1 x 23113024323 x 1004914141 x 5637323131 x 1764353943 x 2451011871 x 1235333013 x 767115371 x 43033
Negative: -1 x -231130243-23 x -10049141-41 x -5637323-131 x -1764353-943 x -245101-1871 x -123533-3013 x -76711-5371 x -43033


How do I find the factor combinations of the number 231,130,243?

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 231,130,243, 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.

1 231,130,243
-1 -231,130,243

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 231,130,243.

Example:
1 x 231,130,243 = 231,130,243
and
-1 x -231,130,243 = 231,130,243
Notice both answers equal 231,130,243

With that explanation out of the way, let's continue. Next, we take the number 231,130,243 and divide it by 2:

231,130,243 ÷ 2 = 115,565,121.5

If the quotient is a whole number, then 2 and 115,565,121.5 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:

1 231,130,243
-1 -231,130,243

Now, we try dividing 231,130,243 by 3:

231,130,243 ÷ 3 = 77,043,414.3333

If the quotient is a whole number, then 3 and 77,043,414.3333 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:

1 231,130,243
-1 -231,130,243

Let's try dividing by 4:

231,130,243 ÷ 4 = 57,782,560.75

If the quotient is a whole number, then 4 and 57,782,560.75 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:

1 231,130,243
-1 231,130,243
Keep dividing by the next highest number until you cannot divide anymore.

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

123411319431,8713,0135,37143,03376,711123,533245,1011,764,3535,637,32310,049,141231,130,243
-1-23-41-131-943-1,871-3,013-5,371-43,033-76,711-123,533-245,101-1,764,353-5,637,323-10,049,141-231,130,243

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