Q: What are the factor combinations of the number 3,241,825?

 A:
Positive:   1 x 32418255 x 64836525 x 12967331 x 10457547 x 6897589 x 36425155 x 20915235 x 13795445 x 7285775 x 41831175 x 27591457 x 2225
Negative: -1 x -3241825-5 x -648365-25 x -129673-31 x -104575-47 x -68975-89 x -36425-155 x -20915-235 x -13795-445 x -7285-775 x -4183-1175 x -2759-1457 x -2225


How do I find the factor combinations of the number 3,241,825?

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 3,241,825, 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 3,241,825
-1 -3,241,825

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 3,241,825.

Example:
1 x 3,241,825 = 3,241,825
and
-1 x -3,241,825 = 3,241,825
Notice both answers equal 3,241,825

With that explanation out of the way, let's continue. Next, we take the number 3,241,825 and divide it by 2:

3,241,825 ÷ 2 = 1,620,912.5

If the quotient is a whole number, then 2 and 1,620,912.5 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 3,241,825
-1 -3,241,825

Now, we try dividing 3,241,825 by 3:

3,241,825 ÷ 3 = 1,080,608.3333

If the quotient is a whole number, then 3 and 1,080,608.3333 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 3,241,825
-1 -3,241,825

Let's try dividing by 4:

3,241,825 ÷ 4 = 810,456.25

If the quotient is a whole number, then 4 and 810,456.25 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 3,241,825
-1 3,241,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15253147891552354457751,1751,4572,2252,7594,1837,28513,79520,91536,42568,975104,575129,673648,3653,241,825
-1-5-25-31-47-89-155-235-445-775-1,175-1,457-2,225-2,759-4,183-7,285-13,795-20,915-36,425-68,975-104,575-129,673-648,365-3,241,825

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