Q: What are the factor combinations of the number 243,124,345?

 A:
Positive:   1 x 2431243455 x 4862486961 x 3985645151 x 1610095305 x 797129755 x 3220195279 x 460559211 x 26395
Negative: -1 x -243124345-5 x -48624869-61 x -3985645-151 x -1610095-305 x -797129-755 x -322019-5279 x -46055-9211 x -26395


How do I find the factor combinations of the number 243,124,345?

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 243,124,345, 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.

1 243,124,345
-1 -243,124,345

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 243,124,345.

Example:
1 x 243,124,345 = 243,124,345
and
-1 x -243,124,345 = 243,124,345
Notice both answers equal 243,124,345

With that explanation out of the way, let's continue. Next, we take the number 243,124,345 and divide it by 2:

243,124,345 ÷ 2 = 121,562,172.5

If the quotient is a whole number, then 2 and 121,562,172.5 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:

1 243,124,345
-1 -243,124,345

Now, we try dividing 243,124,345 by 3:

243,124,345 ÷ 3 = 81,041,448.3333

If the quotient is a whole number, then 3 and 81,041,448.3333 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:

1 243,124,345
-1 -243,124,345

Let's try dividing by 4:

243,124,345 ÷ 4 = 60,781,086.25

If the quotient is a whole number, then 4 and 60,781,086.25 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:

1 243,124,345
-1 243,124,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15611513057555,2799,21126,39546,055322,019797,1291,610,0953,985,64548,624,869243,124,345
-1-5-61-151-305-755-5,279-9,211-26,395-46,055-322,019-797,129-1,610,095-3,985,645-48,624,869-243,124,345

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,124,345:


Ask a Question