Q: What are the factor combinations of the number 243,502,043?

 A:
Positive:   1 x 24350204319 x 12815897239 x 10188374541 x 53623
Negative: -1 x -243502043-19 x -12815897-239 x -1018837-4541 x -53623


How do I find the factor combinations of the number 243,502,043?

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 243,502,043, 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.

1 243,502,043
-1 -243,502,043

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 243,502,043.

Example:
1 x 243,502,043 = 243,502,043
and
-1 x -243,502,043 = 243,502,043
Notice both answers equal 243,502,043

With that explanation out of the way, let's continue. Next, we take the number 243,502,043 and divide it by 2:

243,502,043 ÷ 2 = 121,751,021.5

If the quotient is a whole number, then 2 and 121,751,021.5 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:

1 243,502,043
-1 -243,502,043

Now, we try dividing 243,502,043 by 3:

243,502,043 ÷ 3 = 81,167,347.6667

If the quotient is a whole number, then 3 and 81,167,347.6667 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:

1 243,502,043
-1 -243,502,043

Let's try dividing by 4:

243,502,043 ÷ 4 = 60,875,510.75

If the quotient is a whole number, then 4 and 60,875,510.75 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:

1 243,502,043
-1 243,502,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1192394,54153,6231,018,83712,815,897243,502,043
-1-19-239-4,541-53,623-1,018,837-12,815,897-243,502,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,502,043:


Ask a Question