Q: What are the factor combinations of the number 243,161,675?

 A:
Positive:   1 x 2431616755 x 4863233525 x 972646731 x 7843925155 x 1568785211 x 1152425775 x 3137571055 x 2304851487 x 1635255275 x 460976541 x 371757435 x 32705
Negative: -1 x -243161675-5 x -48632335-25 x -9726467-31 x -7843925-155 x -1568785-211 x -1152425-775 x -313757-1055 x -230485-1487 x -163525-5275 x -46097-6541 x -37175-7435 x -32705


How do I find the factor combinations of the number 243,161,675?

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 243,161,675, 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.

1 243,161,675
-1 -243,161,675

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 243,161,675.

Example:
1 x 243,161,675 = 243,161,675
and
-1 x -243,161,675 = 243,161,675
Notice both answers equal 243,161,675

With that explanation out of the way, let's continue. Next, we take the number 243,161,675 and divide it by 2:

243,161,675 ÷ 2 = 121,580,837.5

If the quotient is a whole number, then 2 and 121,580,837.5 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:

1 243,161,675
-1 -243,161,675

Now, we try dividing 243,161,675 by 3:

243,161,675 ÷ 3 = 81,053,891.6667

If the quotient is a whole number, then 3 and 81,053,891.6667 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:

1 243,161,675
-1 -243,161,675

Let's try dividing by 4:

243,161,675 ÷ 4 = 60,790,418.75

If the quotient is a whole number, then 4 and 60,790,418.75 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:

1 243,161,675
-1 243,161,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311552117751,0551,4875,2756,5417,43532,70537,17546,097163,525230,485313,7571,152,4251,568,7857,843,9259,726,46748,632,335243,161,675
-1-5-25-31-155-211-775-1,055-1,487-5,275-6,541-7,435-32,705-37,175-46,097-163,525-230,485-313,757-1,152,425-1,568,785-7,843,925-9,726,467-48,632,335-243,161,675

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