Q: What are the factor combinations of the number 320,023,015?

 A:
Positive:   1 x 3200230155 x 6400460313 x 2461715565 x 4923431829 x 3860354145 x 772075939 x 5388510777 x 29695
Negative: -1 x -320023015-5 x -64004603-13 x -24617155-65 x -4923431-829 x -386035-4145 x -77207-5939 x -53885-10777 x -29695


How do I find the factor combinations of the number 320,023,015?

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 320,023,015, 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.

1 320,023,015
-1 -320,023,015

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 320,023,015.

Example:
1 x 320,023,015 = 320,023,015
and
-1 x -320,023,015 = 320,023,015
Notice both answers equal 320,023,015

With that explanation out of the way, let's continue. Next, we take the number 320,023,015 and divide it by 2:

320,023,015 ÷ 2 = 160,011,507.5

If the quotient is a whole number, then 2 and 160,011,507.5 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:

1 320,023,015
-1 -320,023,015

Now, we try dividing 320,023,015 by 3:

320,023,015 ÷ 3 = 106,674,338.3333

If the quotient is a whole number, then 3 and 106,674,338.3333 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:

1 320,023,015
-1 -320,023,015

Let's try dividing by 4:

320,023,015 ÷ 4 = 80,005,753.75

If the quotient is a whole number, then 4 and 80,005,753.75 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:

1 320,023,015
-1 320,023,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513658294,1455,93910,77729,69553,88577,207386,0354,923,43124,617,15564,004,603320,023,015
-1-5-13-65-829-4,145-5,939-10,777-29,695-53,885-77,207-386,035-4,923,431-24,617,155-64,004,603-320,023,015

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