Q: What are the factor combinations of the number 385,058,815?

 A:
Positive:   1 x 3850588155 x 7701176337 x 10406995185 x 2081399647 x 5951453217 x 1196953235 x 11902916085 x 23939
Negative: -1 x -385058815-5 x -77011763-37 x -10406995-185 x -2081399-647 x -595145-3217 x -119695-3235 x -119029-16085 x -23939


How do I find the factor combinations of the number 385,058,815?

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 385,058,815, 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.

1 385,058,815
-1 -385,058,815

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 385,058,815.

Example:
1 x 385,058,815 = 385,058,815
and
-1 x -385,058,815 = 385,058,815
Notice both answers equal 385,058,815

With that explanation out of the way, let's continue. Next, we take the number 385,058,815 and divide it by 2:

385,058,815 ÷ 2 = 192,529,407.5

If the quotient is a whole number, then 2 and 192,529,407.5 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:

1 385,058,815
-1 -385,058,815

Now, we try dividing 385,058,815 by 3:

385,058,815 ÷ 3 = 128,352,938.3333

If the quotient is a whole number, then 3 and 128,352,938.3333 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:

1 385,058,815
-1 -385,058,815

Let's try dividing by 4:

385,058,815 ÷ 4 = 96,264,703.75

If the quotient is a whole number, then 4 and 96,264,703.75 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:

1 385,058,815
-1 385,058,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15371856473,2173,23516,08523,939119,029119,695595,1452,081,39910,406,99577,011,763385,058,815
-1-5-37-185-647-3,217-3,235-16,085-23,939-119,029-119,695-595,145-2,081,399-10,406,995-77,011,763-385,058,815

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