Q: What are the factor combinations of the number 243,124,343?

 A:
Positive:   1 x 2431243437 x 3473204911 x 2210221377 x 3157459149 x 16317071043 x 2331011639 x 14833711473 x 21191
Negative: -1 x -243124343-7 x -34732049-11 x -22102213-77 x -3157459-149 x -1631707-1043 x -233101-1639 x -148337-11473 x -21191


How do I find the factor combinations of the number 243,124,343?

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 243,124,343, 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.

1 243,124,343
-1 -243,124,343

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 243,124,343.

Example:
1 x 243,124,343 = 243,124,343
and
-1 x -243,124,343 = 243,124,343
Notice both answers equal 243,124,343

With that explanation out of the way, let's continue. Next, we take the number 243,124,343 and divide it by 2:

243,124,343 ÷ 2 = 121,562,171.5

If the quotient is a whole number, then 2 and 121,562,171.5 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:

1 243,124,343
-1 -243,124,343

Now, we try dividing 243,124,343 by 3:

243,124,343 ÷ 3 = 81,041,447.6667

If the quotient is a whole number, then 3 and 81,041,447.6667 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:

1 243,124,343
-1 -243,124,343

Let's try dividing by 4:

243,124,343 ÷ 4 = 60,781,085.75

If the quotient is a whole number, then 4 and 60,781,085.75 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:

1 243,124,343
-1 243,124,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771491,0431,63911,47321,191148,337233,1011,631,7073,157,45922,102,21334,732,049243,124,343
-1-7-11-77-149-1,043-1,639-11,473-21,191-148,337-233,101-1,631,707-3,157,459-22,102,213-34,732,049-243,124,343

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,124,343:


Ask a Question