Q: What are the factor combinations of the number 321,750,737?

 A:
Positive:   1 x 3217507377 x 4596439111 x 2925006729 x 1109485377 x 4178581121 x 2659097203 x 1584979319 x 1008623847 x 3798712233 x 1440893509 x 9169313099 x 24563
Negative: -1 x -321750737-7 x -45964391-11 x -29250067-29 x -11094853-77 x -4178581-121 x -2659097-203 x -1584979-319 x -1008623-847 x -379871-2233 x -144089-3509 x -91693-13099 x -24563


How do I find the factor combinations of the number 321,750,737?

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 321,750,737, 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.

1 321,750,737
-1 -321,750,737

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 321,750,737.

Example:
1 x 321,750,737 = 321,750,737
and
-1 x -321,750,737 = 321,750,737
Notice both answers equal 321,750,737

With that explanation out of the way, let's continue. Next, we take the number 321,750,737 and divide it by 2:

321,750,737 ÷ 2 = 160,875,368.5

If the quotient is a whole number, then 2 and 160,875,368.5 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:

1 321,750,737
-1 -321,750,737

Now, we try dividing 321,750,737 by 3:

321,750,737 ÷ 3 = 107,250,245.6667

If the quotient is a whole number, then 3 and 107,250,245.6667 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:

1 321,750,737
-1 -321,750,737

Let's try dividing by 4:

321,750,737 ÷ 4 = 80,437,684.25

If the quotient is a whole number, then 4 and 80,437,684.25 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:

1 321,750,737
-1 321,750,737
Keep dividing by the next highest number until you cannot divide anymore.

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

171129771212033198472,2333,50913,09924,56391,693144,089379,8711,008,6231,584,9792,659,0974,178,58111,094,85329,250,06745,964,391321,750,737
-1-7-11-29-77-121-203-319-847-2,233-3,509-13,099-24,563-91,693-144,089-379,871-1,008,623-1,584,979-2,659,097-4,178,581-11,094,853-29,250,067-45,964,391-321,750,737

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