Q: What are the factor combinations of the number 48,204,605?

 A:
Positive:   1 x 482046055 x 964092117 x 283556585 x 567113317 x 1520651585 x 304131789 x 269455389 x 8945
Negative: -1 x -48204605-5 x -9640921-17 x -2835565-85 x -567113-317 x -152065-1585 x -30413-1789 x -26945-5389 x -8945


How do I find the factor combinations of the number 48,204,605?

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 48,204,605, 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 48,204,605
-1 -48,204,605

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 48,204,605.

Example:
1 x 48,204,605 = 48,204,605
and
-1 x -48,204,605 = 48,204,605
Notice both answers equal 48,204,605

With that explanation out of the way, let's continue. Next, we take the number 48,204,605 and divide it by 2:

48,204,605 ÷ 2 = 24,102,302.5

If the quotient is a whole number, then 2 and 24,102,302.5 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 48,204,605
-1 -48,204,605

Now, we try dividing 48,204,605 by 3:

48,204,605 ÷ 3 = 16,068,201.6667

If the quotient is a whole number, then 3 and 16,068,201.6667 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 48,204,605
-1 -48,204,605

Let's try dividing by 4:

48,204,605 ÷ 4 = 12,051,151.25

If the quotient is a whole number, then 4 and 12,051,151.25 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 48,204,605
-1 48,204,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853171,5851,7895,3898,94526,94530,413152,065567,1132,835,5659,640,92148,204,605
-1-5-17-85-317-1,585-1,789-5,389-8,945-26,945-30,413-152,065-567,113-2,835,565-9,640,921-48,204,605

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