Q: What are the factor combinations of the number 12,550,433?

 A:
Positive:   1 x 125504337 x 179291923 x 545671137 x 91609161 x 77953569 x 22057959 x 130873151 x 3983
Negative: -1 x -12550433-7 x -1792919-23 x -545671-137 x -91609-161 x -77953-569 x -22057-959 x -13087-3151 x -3983


How do I find the factor combinations of the number 12,550,433?

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 12,550,433, 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 12,550,433
-1 -12,550,433

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 12,550,433.

Example:
1 x 12,550,433 = 12,550,433
and
-1 x -12,550,433 = 12,550,433
Notice both answers equal 12,550,433

With that explanation out of the way, let's continue. Next, we take the number 12,550,433 and divide it by 2:

12,550,433 ÷ 2 = 6,275,216.5

If the quotient is a whole number, then 2 and 6,275,216.5 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 12,550,433
-1 -12,550,433

Now, we try dividing 12,550,433 by 3:

12,550,433 ÷ 3 = 4,183,477.6667

If the quotient is a whole number, then 3 and 4,183,477.6667 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 12,550,433
-1 -12,550,433

Let's try dividing by 4:

12,550,433 ÷ 4 = 3,137,608.25

If the quotient is a whole number, then 4 and 3,137,608.25 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 12,550,433
-1 12,550,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17231371615699593,1513,98313,08722,05777,95391,609545,6711,792,91912,550,433
-1-7-23-137-161-569-959-3,151-3,983-13,087-22,057-77,953-91,609-545,671-1,792,919-12,550,433

More Examples

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