Q: What are the factor combinations of the number 60,992,021?

 A:
Positive:   1 x 6099202123 x 265182737 x 1648433851 x 71671
Negative: -1 x -60992021-23 x -2651827-37 x -1648433-851 x -71671


How do I find the factor combinations of the number 60,992,021?

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 60,992,021, 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 60,992,021
-1 -60,992,021

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 60,992,021.

Example:
1 x 60,992,021 = 60,992,021
and
-1 x -60,992,021 = 60,992,021
Notice both answers equal 60,992,021

With that explanation out of the way, let's continue. Next, we take the number 60,992,021 and divide it by 2:

60,992,021 ÷ 2 = 30,496,010.5

If the quotient is a whole number, then 2 and 30,496,010.5 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 60,992,021
-1 -60,992,021

Now, we try dividing 60,992,021 by 3:

60,992,021 ÷ 3 = 20,330,673.6667

If the quotient is a whole number, then 3 and 20,330,673.6667 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 60,992,021
-1 -60,992,021

Let's try dividing by 4:

60,992,021 ÷ 4 = 15,248,005.25

If the quotient is a whole number, then 4 and 15,248,005.25 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 60,992,021
-1 60,992,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1233785171,6711,648,4332,651,82760,992,021
-1-23-37-851-71,671-1,648,433-2,651,827-60,992,021

More Examples

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