Q: What are the factor combinations of the number 532,500,625?

 A:
Positive:   1 x 5325006255 x 10650012525 x 21300025125 x 4260005163 x 3266875625 x 852001815 x 6533754075 x 1306755227 x 10187520375 x 26135
Negative: -1 x -532500625-5 x -106500125-25 x -21300025-125 x -4260005-163 x -3266875-625 x -852001-815 x -653375-4075 x -130675-5227 x -101875-20375 x -26135


How do I find the factor combinations of the number 532,500,625?

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 532,500,625, 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.

1 532,500,625
-1 -532,500,625

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 532,500,625.

Example:
1 x 532,500,625 = 532,500,625
and
-1 x -532,500,625 = 532,500,625
Notice both answers equal 532,500,625

With that explanation out of the way, let's continue. Next, we take the number 532,500,625 and divide it by 2:

532,500,625 ÷ 2 = 266,250,312.5

If the quotient is a whole number, then 2 and 266,250,312.5 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:

1 532,500,625
-1 -532,500,625

Now, we try dividing 532,500,625 by 3:

532,500,625 ÷ 3 = 177,500,208.3333

If the quotient is a whole number, then 3 and 177,500,208.3333 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:

1 532,500,625
-1 -532,500,625

Let's try dividing by 4:

532,500,625 ÷ 4 = 133,125,156.25

If the quotient is a whole number, then 4 and 133,125,156.25 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:

1 532,500,625
-1 532,500,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251636258154,0755,22720,37526,135101,875130,675653,375852,0013,266,8754,260,00521,300,025106,500,125532,500,625
-1-5-25-125-163-625-815-4,075-5,227-20,375-26,135-101,875-130,675-653,375-852,001-3,266,875-4,260,005-21,300,025-106,500,125-532,500,625

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