Q: What are the factor combinations of the number 3,800,825?

 A:
Positive:   1 x 38008255 x 7601657 x 54297525 x 15203335 x 10859537 x 102725175 x 21719185 x 20545259 x 14675587 x 6475925 x 41091295 x 2935
Negative: -1 x -3800825-5 x -760165-7 x -542975-25 x -152033-35 x -108595-37 x -102725-175 x -21719-185 x -20545-259 x -14675-587 x -6475-925 x -4109-1295 x -2935


How do I find the factor combinations of the number 3,800,825?

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 3,800,825, 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 3,800,825
-1 -3,800,825

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 3,800,825.

Example:
1 x 3,800,825 = 3,800,825
and
-1 x -3,800,825 = 3,800,825
Notice both answers equal 3,800,825

With that explanation out of the way, let's continue. Next, we take the number 3,800,825 and divide it by 2:

3,800,825 ÷ 2 = 1,900,412.5

If the quotient is a whole number, then 2 and 1,900,412.5 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 3,800,825
-1 -3,800,825

Now, we try dividing 3,800,825 by 3:

3,800,825 ÷ 3 = 1,266,941.6667

If the quotient is a whole number, then 3 and 1,266,941.6667 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 3,800,825
-1 -3,800,825

Let's try dividing by 4:

3,800,825 ÷ 4 = 950,206.25

If the quotient is a whole number, then 4 and 950,206.25 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 3,800,825
-1 3,800,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371751852595879251,2952,9354,1096,47514,67520,54521,719102,725108,595152,033542,975760,1653,800,825
-1-5-7-25-35-37-175-185-259-587-925-1,295-2,935-4,109-6,475-14,675-20,545-21,719-102,725-108,595-152,033-542,975-760,165-3,800,825

More Examples

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