Q: What are the factor combinations of the number 243,241,243?

 A:
Positive:   1 x 2432412437 x 3474874949 x 496410771 x 3425933139 x 1749937497 x 489419503 x 483581973 x 2499913479 x 699173521 x 690836811 x 357139869 x 24647
Negative: -1 x -243241243-7 x -34748749-49 x -4964107-71 x -3425933-139 x -1749937-497 x -489419-503 x -483581-973 x -249991-3479 x -69917-3521 x -69083-6811 x -35713-9869 x -24647


How do I find the factor combinations of the number 243,241,243?

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 243,241,243, 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.

1 243,241,243
-1 -243,241,243

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 243,241,243.

Example:
1 x 243,241,243 = 243,241,243
and
-1 x -243,241,243 = 243,241,243
Notice both answers equal 243,241,243

With that explanation out of the way, let's continue. Next, we take the number 243,241,243 and divide it by 2:

243,241,243 ÷ 2 = 121,620,621.5

If the quotient is a whole number, then 2 and 121,620,621.5 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:

1 243,241,243
-1 -243,241,243

Now, we try dividing 243,241,243 by 3:

243,241,243 ÷ 3 = 81,080,414.3333

If the quotient is a whole number, then 3 and 81,080,414.3333 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:

1 243,241,243
-1 -243,241,243

Let's try dividing by 4:

243,241,243 ÷ 4 = 60,810,310.75

If the quotient is a whole number, then 4 and 60,810,310.75 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:

1 243,241,243
-1 243,241,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1749711394975039733,4793,5216,8119,86924,64735,71369,08369,917249,991483,581489,4191,749,9373,425,9334,964,10734,748,749243,241,243
-1-7-49-71-139-497-503-973-3,479-3,521-6,811-9,869-24,647-35,713-69,083-69,917-249,991-483,581-489,419-1,749,937-3,425,933-4,964,107-34,748,749-243,241,243

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,241,243:


Ask a Question