Q: What are the factor combinations of the number 243,102,005?

 A:
Positive:   1 x 2431020055 x 4862040143 x 5653535181 x 1343105215 x 1130707905 x 2686216247 x 389157783 x 31235
Negative: -1 x -243102005-5 x -48620401-43 x -5653535-181 x -1343105-215 x -1130707-905 x -268621-6247 x -38915-7783 x -31235


How do I find the factor combinations of the number 243,102,005?

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 243,102,005, 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.

1 243,102,005
-1 -243,102,005

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 243,102,005.

Example:
1 x 243,102,005 = 243,102,005
and
-1 x -243,102,005 = 243,102,005
Notice both answers equal 243,102,005

With that explanation out of the way, let's continue. Next, we take the number 243,102,005 and divide it by 2:

243,102,005 ÷ 2 = 121,551,002.5

If the quotient is a whole number, then 2 and 121,551,002.5 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:

1 243,102,005
-1 -243,102,005

Now, we try dividing 243,102,005 by 3:

243,102,005 ÷ 3 = 81,034,001.6667

If the quotient is a whole number, then 3 and 81,034,001.6667 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:

1 243,102,005
-1 -243,102,005

Let's try dividing by 4:

243,102,005 ÷ 4 = 60,775,501.25

If the quotient is a whole number, then 4 and 60,775,501.25 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:

1 243,102,005
-1 243,102,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15431812159056,2477,78331,23538,915268,6211,130,7071,343,1055,653,53548,620,401243,102,005
-1-5-43-181-215-905-6,247-7,783-31,235-38,915-268,621-1,130,707-1,343,105-5,653,535-48,620,401-243,102,005

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