Q: What are the factor combinations of the number 121,343,231?

 A:
Positive:   1 x 12134323141 x 295959167 x 1811093163 x 744437271 x 4477612747 x 441736683 x 1815710921 x 11111
Negative: -1 x -121343231-41 x -2959591-67 x -1811093-163 x -744437-271 x -447761-2747 x -44173-6683 x -18157-10921 x -11111


How do I find the factor combinations of the number 121,343,231?

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 121,343,231, 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.

1 121,343,231
-1 -121,343,231

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 121,343,231.

Example:
1 x 121,343,231 = 121,343,231
and
-1 x -121,343,231 = 121,343,231
Notice both answers equal 121,343,231

With that explanation out of the way, let's continue. Next, we take the number 121,343,231 and divide it by 2:

121,343,231 ÷ 2 = 60,671,615.5

If the quotient is a whole number, then 2 and 60,671,615.5 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:

1 121,343,231
-1 -121,343,231

Now, we try dividing 121,343,231 by 3:

121,343,231 ÷ 3 = 40,447,743.6667

If the quotient is a whole number, then 3 and 40,447,743.6667 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:

1 121,343,231
-1 -121,343,231

Let's try dividing by 4:

121,343,231 ÷ 4 = 30,335,807.75

If the quotient is a whole number, then 4 and 30,335,807.75 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:

1 121,343,231
-1 121,343,231
Keep dividing by the next highest number until you cannot divide anymore.

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

141671632712,7476,68310,92111,11118,15744,173447,761744,4371,811,0932,959,591121,343,231
-1-41-67-163-271-2,747-6,683-10,921-11,111-18,157-44,173-447,761-744,437-1,811,093-2,959,591-121,343,231

More Examples

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