Q: What are the factor combinations of the number 3,681,163?

 A:
Positive:   1 x 368116317 x 21653979 x 465971343 x 2741
Negative: -1 x -3681163-17 x -216539-79 x -46597-1343 x -2741


How do I find the factor combinations of the number 3,681,163?

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 3,681,163, 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 3,681,163
-1 -3,681,163

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 3,681,163.

Example:
1 x 3,681,163 = 3,681,163
and
-1 x -3,681,163 = 3,681,163
Notice both answers equal 3,681,163

With that explanation out of the way, let's continue. Next, we take the number 3,681,163 and divide it by 2:

3,681,163 ÷ 2 = 1,840,581.5

If the quotient is a whole number, then 2 and 1,840,581.5 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 3,681,163
-1 -3,681,163

Now, we try dividing 3,681,163 by 3:

3,681,163 ÷ 3 = 1,227,054.3333

If the quotient is a whole number, then 3 and 1,227,054.3333 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 3,681,163
-1 -3,681,163

Let's try dividing by 4:

3,681,163 ÷ 4 = 920,290.75

If the quotient is a whole number, then 4 and 920,290.75 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 3,681,163
-1 3,681,163
Keep dividing by the next highest number until you cannot divide anymore.

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

117791,3432,74146,597216,5393,681,163
-1-17-79-1,343-2,741-46,597-216,539-3,681,163

More Examples

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