Q: What are the factor combinations of the number 322,444,241?

 A:
Positive:   1 x 3224442417 x 4606346389 x 3622969349 x 923909623 x 5175671483 x 2174272443 x 13198710381 x 31061
Negative: -1 x -322444241-7 x -46063463-89 x -3622969-349 x -923909-623 x -517567-1483 x -217427-2443 x -131987-10381 x -31061


How do I find the factor combinations of the number 322,444,241?

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 322,444,241, 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.

1 322,444,241
-1 -322,444,241

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 322,444,241.

Example:
1 x 322,444,241 = 322,444,241
and
-1 x -322,444,241 = 322,444,241
Notice both answers equal 322,444,241

With that explanation out of the way, let's continue. Next, we take the number 322,444,241 and divide it by 2:

322,444,241 ÷ 2 = 161,222,120.5

If the quotient is a whole number, then 2 and 161,222,120.5 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:

1 322,444,241
-1 -322,444,241

Now, we try dividing 322,444,241 by 3:

322,444,241 ÷ 3 = 107,481,413.6667

If the quotient is a whole number, then 3 and 107,481,413.6667 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:

1 322,444,241
-1 -322,444,241

Let's try dividing by 4:

322,444,241 ÷ 4 = 80,611,060.25

If the quotient is a whole number, then 4 and 80,611,060.25 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:

1 322,444,241
-1 322,444,241
Keep dividing by the next highest number until you cannot divide anymore.

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

17893496231,4832,44310,38131,061131,987217,427517,567923,9093,622,96946,063,463322,444,241
-1-7-89-349-623-1,483-2,443-10,381-31,061-131,987-217,427-517,567-923,909-3,622,969-46,063,463-322,444,241

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