Q: What are the factor combinations of the number 331,201,241?

 A:
Positive:   1 x 3312012417 x 4731446331 x 1068391149 x 6759209217 x 1526273337 x 982793647 x 5119031519 x 2180392359 x 1403994529 x 7312910447 x 3170316513 x 20057
Negative: -1 x -331201241-7 x -47314463-31 x -10683911-49 x -6759209-217 x -1526273-337 x -982793-647 x -511903-1519 x -218039-2359 x -140399-4529 x -73129-10447 x -31703-16513 x -20057


How do I find the factor combinations of the number 331,201,241?

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 331,201,241, 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.

1 331,201,241
-1 -331,201,241

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 331,201,241.

Example:
1 x 331,201,241 = 331,201,241
and
-1 x -331,201,241 = 331,201,241
Notice both answers equal 331,201,241

With that explanation out of the way, let's continue. Next, we take the number 331,201,241 and divide it by 2:

331,201,241 ÷ 2 = 165,600,620.5

If the quotient is a whole number, then 2 and 165,600,620.5 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:

1 331,201,241
-1 -331,201,241

Now, we try dividing 331,201,241 by 3:

331,201,241 ÷ 3 = 110,400,413.6667

If the quotient is a whole number, then 3 and 110,400,413.6667 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:

1 331,201,241
-1 -331,201,241

Let's try dividing by 4:

331,201,241 ÷ 4 = 82,800,310.25

If the quotient is a whole number, then 4 and 82,800,310.25 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:

1 331,201,241
-1 331,201,241
Keep dividing by the next highest number until you cannot divide anymore.

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

1731492173376471,5192,3594,52910,44716,51320,05731,70373,129140,399218,039511,903982,7931,526,2736,759,20910,683,91147,314,463331,201,241
-1-7-31-49-217-337-647-1,519-2,359-4,529-10,447-16,513-20,057-31,703-73,129-140,399-218,039-511,903-982,793-1,526,273-6,759,209-10,683,911-47,314,463-331,201,241

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