Q: What are the factor combinations of the number 30,632,309?

 A:
Positive:   1 x 3063230931 x 98813961 x 50216997 x 315797167 x 1834271891 x 161993007 x 101875177 x 5917
Negative: -1 x -30632309-31 x -988139-61 x -502169-97 x -315797-167 x -183427-1891 x -16199-3007 x -10187-5177 x -5917


How do I find the factor combinations of the number 30,632,309?

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 30,632,309, 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 30,632,309
-1 -30,632,309

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 30,632,309.

Example:
1 x 30,632,309 = 30,632,309
and
-1 x -30,632,309 = 30,632,309
Notice both answers equal 30,632,309

With that explanation out of the way, let's continue. Next, we take the number 30,632,309 and divide it by 2:

30,632,309 ÷ 2 = 15,316,154.5

If the quotient is a whole number, then 2 and 15,316,154.5 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 30,632,309
-1 -30,632,309

Now, we try dividing 30,632,309 by 3:

30,632,309 ÷ 3 = 10,210,769.6667

If the quotient is a whole number, then 3 and 10,210,769.6667 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 30,632,309
-1 -30,632,309

Let's try dividing by 4:

30,632,309 ÷ 4 = 7,658,077.25

If the quotient is a whole number, then 4 and 7,658,077.25 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 30,632,309
-1 30,632,309
Keep dividing by the next highest number until you cannot divide anymore.

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

13161971671,8913,0075,1775,91710,18716,199183,427315,797502,169988,13930,632,309
-1-31-61-97-167-1,891-3,007-5,177-5,917-10,187-16,199-183,427-315,797-502,169-988,139-30,632,309

More Examples

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