Q: What are the factor combinations of the number 3,520,625?

 A:
Positive:   1 x 35206255 x 70412525 x 14082543 x 81875125 x 28165131 x 26875215 x 16375625 x 5633655 x 53751075 x 3275
Negative: -1 x -3520625-5 x -704125-25 x -140825-43 x -81875-125 x -28165-131 x -26875-215 x -16375-625 x -5633-655 x -5375-1075 x -3275


How do I find the factor combinations of the number 3,520,625?

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 3,520,625, 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 3,520,625
-1 -3,520,625

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 3,520,625.

Example:
1 x 3,520,625 = 3,520,625
and
-1 x -3,520,625 = 3,520,625
Notice both answers equal 3,520,625

With that explanation out of the way, let's continue. Next, we take the number 3,520,625 and divide it by 2:

3,520,625 ÷ 2 = 1,760,312.5

If the quotient is a whole number, then 2 and 1,760,312.5 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 3,520,625
-1 -3,520,625

Now, we try dividing 3,520,625 by 3:

3,520,625 ÷ 3 = 1,173,541.6667

If the quotient is a whole number, then 3 and 1,173,541.6667 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 3,520,625
-1 -3,520,625

Let's try dividing by 4:

3,520,625 ÷ 4 = 880,156.25

If the quotient is a whole number, then 4 and 880,156.25 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 3,520,625
-1 3,520,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431251312156256551,0753,2755,3755,63316,37526,87528,16581,875140,825704,1253,520,625
-1-5-25-43-125-131-215-625-655-1,075-3,275-5,375-5,633-16,375-26,875-28,165-81,875-140,825-704,125-3,520,625

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