Q: What are the factor combinations of the number 30,813,163?

 A:
Positive:   1 x 3081316317 x 181253931 x 99397359 x 522257527 x 58469991 x 310931003 x 307211829 x 16847
Negative: -1 x -30813163-17 x -1812539-31 x -993973-59 x -522257-527 x -58469-991 x -31093-1003 x -30721-1829 x -16847


How do I find the factor combinations of the number 30,813,163?

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 30,813,163, 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 30,813,163
-1 -30,813,163

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 30,813,163.

Example:
1 x 30,813,163 = 30,813,163
and
-1 x -30,813,163 = 30,813,163
Notice both answers equal 30,813,163

With that explanation out of the way, let's continue. Next, we take the number 30,813,163 and divide it by 2:

30,813,163 ÷ 2 = 15,406,581.5

If the quotient is a whole number, then 2 and 15,406,581.5 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 30,813,163
-1 -30,813,163

Now, we try dividing 30,813,163 by 3:

30,813,163 ÷ 3 = 10,271,054.3333

If the quotient is a whole number, then 3 and 10,271,054.3333 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 30,813,163
-1 -30,813,163

Let's try dividing by 4:

30,813,163 ÷ 4 = 7,703,290.75

If the quotient is a whole number, then 4 and 7,703,290.75 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 30,813,163
-1 30,813,163
Keep dividing by the next highest number until you cannot divide anymore.

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

11731595279911,0031,82916,84730,72131,09358,469522,257993,9731,812,53930,813,163
-1-17-31-59-527-991-1,003-1,829-16,847-30,721-31,093-58,469-522,257-993,973-1,812,539-30,813,163

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