Q: What are the factor combinations of the number 15,850,703?

 A:
Positive:   1 x 1585070311 x 144097323 x 68916131 x 51131343 x 36862147 x 337249253 x 62651341 x 46483473 x 33511517 x 30659713 x 22231989 x 160271081 x 146631333 x 118911457 x 108792021 x 7843
Negative: -1 x -15850703-11 x -1440973-23 x -689161-31 x -511313-43 x -368621-47 x -337249-253 x -62651-341 x -46483-473 x -33511-517 x -30659-713 x -22231-989 x -16027-1081 x -14663-1333 x -11891-1457 x -10879-2021 x -7843


How do I find the factor combinations of the number 15,850,703?

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 15,850,703, 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 15,850,703
-1 -15,850,703

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 15,850,703.

Example:
1 x 15,850,703 = 15,850,703
and
-1 x -15,850,703 = 15,850,703
Notice both answers equal 15,850,703

With that explanation out of the way, let's continue. Next, we take the number 15,850,703 and divide it by 2:

15,850,703 ÷ 2 = 7,925,351.5

If the quotient is a whole number, then 2 and 7,925,351.5 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 15,850,703
-1 -15,850,703

Now, we try dividing 15,850,703 by 3:

15,850,703 ÷ 3 = 5,283,567.6667

If the quotient is a whole number, then 3 and 5,283,567.6667 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 15,850,703
-1 -15,850,703

Let's try dividing by 4:

15,850,703 ÷ 4 = 3,962,675.75

If the quotient is a whole number, then 4 and 3,962,675.75 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 15,850,703
-1 15,850,703
Keep dividing by the next highest number until you cannot divide anymore.

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

111233143472533414735177139891,0811,3331,4572,0217,84310,87911,89114,66316,02722,23130,65933,51146,48362,651337,249368,621511,313689,1611,440,97315,850,703
-1-11-23-31-43-47-253-341-473-517-713-989-1,081-1,333-1,457-2,021-7,843-10,879-11,891-14,663-16,027-22,231-30,659-33,511-46,483-62,651-337,249-368,621-511,313-689,161-1,440,973-15,850,703

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