Q: What are the factor combinations of the number 230,436,173?

 A:
Positive:   1 x 23043617311 x 2094874317 x 13555069173 x 1332001187 x 1232279289 x 797357419 x 5499671903 x 1210912941 x 783533179 x 724874609 x 499977123 x 32351
Negative: -1 x -230436173-11 x -20948743-17 x -13555069-173 x -1332001-187 x -1232279-289 x -797357-419 x -549967-1903 x -121091-2941 x -78353-3179 x -72487-4609 x -49997-7123 x -32351


How do I find the factor combinations of the number 230,436,173?

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 230,436,173, 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.

1 230,436,173
-1 -230,436,173

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 230,436,173.

Example:
1 x 230,436,173 = 230,436,173
and
-1 x -230,436,173 = 230,436,173
Notice both answers equal 230,436,173

With that explanation out of the way, let's continue. Next, we take the number 230,436,173 and divide it by 2:

230,436,173 ÷ 2 = 115,218,086.5

If the quotient is a whole number, then 2 and 115,218,086.5 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:

1 230,436,173
-1 -230,436,173

Now, we try dividing 230,436,173 by 3:

230,436,173 ÷ 3 = 76,812,057.6667

If the quotient is a whole number, then 3 and 76,812,057.6667 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:

1 230,436,173
-1 -230,436,173

Let's try dividing by 4:

230,436,173 ÷ 4 = 57,609,043.25

If the quotient is a whole number, then 4 and 57,609,043.25 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:

1 230,436,173
-1 230,436,173
Keep dividing by the next highest number until you cannot divide anymore.

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

111171731872894191,9032,9413,1794,6097,12332,35149,99772,48778,353121,091549,967797,3571,232,2791,332,00113,555,06920,948,743230,436,173
-1-11-17-173-187-289-419-1,903-2,941-3,179-4,609-7,123-32,351-49,997-72,487-78,353-121,091-549,967-797,357-1,232,279-1,332,001-13,555,069-20,948,743-230,436,173

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