Q: What are the factor combinations of the number 121,563,389?

 A:
Positive:   1 x 12156338929 x 419184137 x 3285497277 x 438857409 x 2972211073 x 1132938033 x 1513310249 x 11861
Negative: -1 x -121563389-29 x -4191841-37 x -3285497-277 x -438857-409 x -297221-1073 x -113293-8033 x -15133-10249 x -11861


How do I find the factor combinations of the number 121,563,389?

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 121,563,389, 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.

1 121,563,389
-1 -121,563,389

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 121,563,389.

Example:
1 x 121,563,389 = 121,563,389
and
-1 x -121,563,389 = 121,563,389
Notice both answers equal 121,563,389

With that explanation out of the way, let's continue. Next, we take the number 121,563,389 and divide it by 2:

121,563,389 ÷ 2 = 60,781,694.5

If the quotient is a whole number, then 2 and 60,781,694.5 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:

1 121,563,389
-1 -121,563,389

Now, we try dividing 121,563,389 by 3:

121,563,389 ÷ 3 = 40,521,129.6667

If the quotient is a whole number, then 3 and 40,521,129.6667 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:

1 121,563,389
-1 -121,563,389

Let's try dividing by 4:

121,563,389 ÷ 4 = 30,390,847.25

If the quotient is a whole number, then 4 and 30,390,847.25 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:

1 121,563,389
-1 121,563,389
Keep dividing by the next highest number until you cannot divide anymore.

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

129372774091,0738,03310,24911,86115,133113,293297,221438,8573,285,4974,191,841121,563,389
-1-29-37-277-409-1,073-8,033-10,249-11,861-15,133-113,293-297,221-438,857-3,285,497-4,191,841-121,563,389

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