Q: What are the factor combinations of the number 30,337,813?

 A:
Positive:   1 x 3033781311 x 275798319 x 1596727209 x 145157379 x 80047383 x 792114169 x 72774213 x 7201
Negative: -1 x -30337813-11 x -2757983-19 x -1596727-209 x -145157-379 x -80047-383 x -79211-4169 x -7277-4213 x -7201


How do I find the factor combinations of the number 30,337,813?

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 30,337,813, 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 30,337,813
-1 -30,337,813

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 30,337,813.

Example:
1 x 30,337,813 = 30,337,813
and
-1 x -30,337,813 = 30,337,813
Notice both answers equal 30,337,813

With that explanation out of the way, let's continue. Next, we take the number 30,337,813 and divide it by 2:

30,337,813 ÷ 2 = 15,168,906.5

If the quotient is a whole number, then 2 and 15,168,906.5 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 30,337,813
-1 -30,337,813

Now, we try dividing 30,337,813 by 3:

30,337,813 ÷ 3 = 10,112,604.3333

If the quotient is a whole number, then 3 and 10,112,604.3333 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 30,337,813
-1 -30,337,813

Let's try dividing by 4:

30,337,813 ÷ 4 = 7,584,453.25

If the quotient is a whole number, then 4 and 7,584,453.25 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 30,337,813
-1 30,337,813
Keep dividing by the next highest number until you cannot divide anymore.

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

111192093793834,1694,2137,2017,27779,21180,047145,1571,596,7272,757,98330,337,813
-1-11-19-209-379-383-4,169-4,213-7,201-7,277-79,211-80,047-145,157-1,596,727-2,757,983-30,337,813

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