Q: What are the factor combinations of the number 320,110,297?

 A:
Positive:   1 x 32011029713 x 2462386923 x 13917839299 x 1070603421 x 7603572543 x 1258795473 x 584899683 x 33059
Negative: -1 x -320110297-13 x -24623869-23 x -13917839-299 x -1070603-421 x -760357-2543 x -125879-5473 x -58489-9683 x -33059


How do I find the factor combinations of the number 320,110,297?

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 320,110,297, 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.

1 320,110,297
-1 -320,110,297

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 320,110,297.

Example:
1 x 320,110,297 = 320,110,297
and
-1 x -320,110,297 = 320,110,297
Notice both answers equal 320,110,297

With that explanation out of the way, let's continue. Next, we take the number 320,110,297 and divide it by 2:

320,110,297 ÷ 2 = 160,055,148.5

If the quotient is a whole number, then 2 and 160,055,148.5 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:

1 320,110,297
-1 -320,110,297

Now, we try dividing 320,110,297 by 3:

320,110,297 ÷ 3 = 106,703,432.3333

If the quotient is a whole number, then 3 and 106,703,432.3333 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:

1 320,110,297
-1 -320,110,297

Let's try dividing by 4:

320,110,297 ÷ 4 = 80,027,574.25

If the quotient is a whole number, then 4 and 80,027,574.25 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:

1 320,110,297
-1 320,110,297
Keep dividing by the next highest number until you cannot divide anymore.

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

113232994212,5435,4739,68333,05958,489125,879760,3571,070,60313,917,83924,623,869320,110,297
-1-13-23-299-421-2,543-5,473-9,683-33,059-58,489-125,879-760,357-1,070,603-13,917,839-24,623,869-320,110,297

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