Q: What are the factor combinations of the number 3,298,631?

 A:
Positive:   1 x 32986317 x 47123349 x 6731959 x 55909163 x 20237343 x 9617413 x 79871141 x 2891
Negative: -1 x -3298631-7 x -471233-49 x -67319-59 x -55909-163 x -20237-343 x -9617-413 x -7987-1141 x -2891


How do I find the factor combinations of the number 3,298,631?

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 3,298,631, 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 3,298,631
-1 -3,298,631

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 3,298,631.

Example:
1 x 3,298,631 = 3,298,631
and
-1 x -3,298,631 = 3,298,631
Notice both answers equal 3,298,631

With that explanation out of the way, let's continue. Next, we take the number 3,298,631 and divide it by 2:

3,298,631 ÷ 2 = 1,649,315.5

If the quotient is a whole number, then 2 and 1,649,315.5 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 3,298,631
-1 -3,298,631

Now, we try dividing 3,298,631 by 3:

3,298,631 ÷ 3 = 1,099,543.6667

If the quotient is a whole number, then 3 and 1,099,543.6667 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 3,298,631
-1 -3,298,631

Let's try dividing by 4:

3,298,631 ÷ 4 = 824,657.75

If the quotient is a whole number, then 4 and 824,657.75 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 3,298,631
-1 3,298,631
Keep dividing by the next highest number until you cannot divide anymore.

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

1749591633434131,1412,8917,9879,61720,23755,90967,319471,2333,298,631
-1-7-49-59-163-343-413-1,141-2,891-7,987-9,617-20,237-55,909-67,319-471,233-3,298,631

More Examples

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