Q: What are the factor combinations of the number 320,043,115?

 A:
Positive:   1 x 3200431155 x 640086237 x 4572044535 x 9144089359 x 8914851795 x 1782972513 x 12735512565 x 25471
Negative: -1 x -320043115-5 x -64008623-7 x -45720445-35 x -9144089-359 x -891485-1795 x -178297-2513 x -127355-12565 x -25471


How do I find the factor combinations of the number 320,043,115?

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 320,043,115, 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.

1 320,043,115
-1 -320,043,115

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 320,043,115.

Example:
1 x 320,043,115 = 320,043,115
and
-1 x -320,043,115 = 320,043,115
Notice both answers equal 320,043,115

With that explanation out of the way, let's continue. Next, we take the number 320,043,115 and divide it by 2:

320,043,115 ÷ 2 = 160,021,557.5

If the quotient is a whole number, then 2 and 160,021,557.5 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:

1 320,043,115
-1 -320,043,115

Now, we try dividing 320,043,115 by 3:

320,043,115 ÷ 3 = 106,681,038.3333

If the quotient is a whole number, then 3 and 106,681,038.3333 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:

1 320,043,115
-1 -320,043,115

Let's try dividing by 4:

320,043,115 ÷ 4 = 80,010,778.75

If the quotient is a whole number, then 4 and 80,010,778.75 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:

1 320,043,115
-1 320,043,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157353591,7952,51312,56525,471127,355178,297891,4859,144,08945,720,44564,008,623320,043,115
-1-5-7-35-359-1,795-2,513-12,565-25,471-127,355-178,297-891,485-9,144,089-45,720,445-64,008,623-320,043,115

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