Q: What are the factor combinations of the number 320,012,125?

 A:
Positive:   1 x 3200121255 x 6400242525 x 12800485125 x 2560097443 x 7223752215 x 1444755779 x 5537511075 x 28895
Negative: -1 x -320012125-5 x -64002425-25 x -12800485-125 x -2560097-443 x -722375-2215 x -144475-5779 x -55375-11075 x -28895


How do I find the factor combinations of the number 320,012,125?

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 320,012,125, 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.

1 320,012,125
-1 -320,012,125

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 320,012,125.

Example:
1 x 320,012,125 = 320,012,125
and
-1 x -320,012,125 = 320,012,125
Notice both answers equal 320,012,125

With that explanation out of the way, let's continue. Next, we take the number 320,012,125 and divide it by 2:

320,012,125 ÷ 2 = 160,006,062.5

If the quotient is a whole number, then 2 and 160,006,062.5 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:

1 320,012,125
-1 -320,012,125

Now, we try dividing 320,012,125 by 3:

320,012,125 ÷ 3 = 106,670,708.3333

If the quotient is a whole number, then 3 and 106,670,708.3333 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:

1 320,012,125
-1 -320,012,125

Let's try dividing by 4:

320,012,125 ÷ 4 = 80,003,031.25

If the quotient is a whole number, then 4 and 80,003,031.25 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:

1 320,012,125
-1 320,012,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254432,2155,77911,07528,89555,375144,475722,3752,560,09712,800,48564,002,425320,012,125
-1-5-25-125-443-2,215-5,779-11,075-28,895-55,375-144,475-722,375-2,560,097-12,800,485-64,002,425-320,012,125

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