Q: What are the factor combinations of the number 243,101,996?

 A:
Positive:   1 x 2431019962 x 1215509984 x 6077549923 x 1056965246 x 528482667 x 362838892 x 2642413134 x 1814194268 x 9070971541 x 1577563082 x 788786164 x 39439
Negative: -1 x -243101996-2 x -121550998-4 x -60775499-23 x -10569652-46 x -5284826-67 x -3628388-92 x -2642413-134 x -1814194-268 x -907097-1541 x -157756-3082 x -78878-6164 x -39439


How do I find the factor combinations of the number 243,101,996?

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 243,101,996, 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.

1 243,101,996
-1 -243,101,996

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 243,101,996.

Example:
1 x 243,101,996 = 243,101,996
and
-1 x -243,101,996 = 243,101,996
Notice both answers equal 243,101,996

With that explanation out of the way, let's continue. Next, we take the number 243,101,996 and divide it by 2:

243,101,996 ÷ 2 = 121,550,998

If the quotient is a whole number, then 2 and 121,550,998 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 121,550,998 243,101,996
-1 -2 -121,550,998 -243,101,996

Now, we try dividing 243,101,996 by 3:

243,101,996 ÷ 3 = 81,033,998.6667

If the quotient is a whole number, then 3 and 81,033,998.6667 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 2 121,550,998 243,101,996
-1 -2 -121,550,998 -243,101,996

Let's try dividing by 4:

243,101,996 ÷ 4 = 60,775,499

If the quotient is a whole number, then 4 and 60,775,499 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 60,775,499 121,550,998 243,101,996
-1 -2 -4 -60,775,499 -121,550,998 243,101,996
Keep dividing by the next highest number until you cannot divide anymore.

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

124234667921342681,5413,0826,16439,43978,878157,756907,0971,814,1942,642,4133,628,3885,284,82610,569,65260,775,499121,550,998243,101,996
-1-2-4-23-46-67-92-134-268-1,541-3,082-6,164-39,439-78,878-157,756-907,097-1,814,194-2,642,413-3,628,388-5,284,826-10,569,652-60,775,499-121,550,998-243,101,996

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