Q: What are the factor combinations of the number 121,482,013?

 A:
Positive:   1 x 12148201379 x 1537747631 x 1925232437 x 49849
Negative: -1 x -121482013-79 x -1537747-631 x -192523-2437 x -49849


How do I find the factor combinations of the number 121,482,013?

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 121,482,013, 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.

1 121,482,013
-1 -121,482,013

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 121,482,013.

Example:
1 x 121,482,013 = 121,482,013
and
-1 x -121,482,013 = 121,482,013
Notice both answers equal 121,482,013

With that explanation out of the way, let's continue. Next, we take the number 121,482,013 and divide it by 2:

121,482,013 ÷ 2 = 60,741,006.5

If the quotient is a whole number, then 2 and 60,741,006.5 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:

1 121,482,013
-1 -121,482,013

Now, we try dividing 121,482,013 by 3:

121,482,013 ÷ 3 = 40,494,004.3333

If the quotient is a whole number, then 3 and 40,494,004.3333 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:

1 121,482,013
-1 -121,482,013

Let's try dividing by 4:

121,482,013 ÷ 4 = 30,370,503.25

If the quotient is a whole number, then 4 and 30,370,503.25 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:

1 121,482,013
-1 121,482,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1796312,43749,849192,5231,537,747121,482,013
-1-79-631-2,437-49,849-192,523-1,537,747-121,482,013

More Examples

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