Q: What are the factor combinations of the number 30,928,849?

 A:
Positive:   1 x 309288497 x 441840749 x 631201337 x 917771873 x 165132359 x 13111
Negative: -1 x -30928849-7 x -4418407-49 x -631201-337 x -91777-1873 x -16513-2359 x -13111


How do I find the factor combinations of the number 30,928,849?

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 30,928,849, 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 30,928,849
-1 -30,928,849

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 30,928,849.

Example:
1 x 30,928,849 = 30,928,849
and
-1 x -30,928,849 = 30,928,849
Notice both answers equal 30,928,849

With that explanation out of the way, let's continue. Next, we take the number 30,928,849 and divide it by 2:

30,928,849 ÷ 2 = 15,464,424.5

If the quotient is a whole number, then 2 and 15,464,424.5 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 30,928,849
-1 -30,928,849

Now, we try dividing 30,928,849 by 3:

30,928,849 ÷ 3 = 10,309,616.3333

If the quotient is a whole number, then 3 and 10,309,616.3333 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 30,928,849
-1 -30,928,849

Let's try dividing by 4:

30,928,849 ÷ 4 = 7,732,212.25

If the quotient is a whole number, then 4 and 7,732,212.25 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 30,928,849
-1 30,928,849
Keep dividing by the next highest number until you cannot divide anymore.

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

17493371,8732,35913,11116,51391,777631,2014,418,40730,928,849
-1-7-49-337-1,873-2,359-13,111-16,513-91,777-631,201-4,418,407-30,928,849

More Examples

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