Q: What are the factor combinations of the number 308,015,645?

 A:
Positive:   1 x 3080156455 x 616031297 x 4400223535 x 8800447541 x 5693452705 x 1138693787 x 8133516267 x 18935
Negative: -1 x -308015645-5 x -61603129-7 x -44002235-35 x -8800447-541 x -569345-2705 x -113869-3787 x -81335-16267 x -18935


How do I find the factor combinations of the number 308,015,645?

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 308,015,645, 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.

1 308,015,645
-1 -308,015,645

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 308,015,645.

Example:
1 x 308,015,645 = 308,015,645
and
-1 x -308,015,645 = 308,015,645
Notice both answers equal 308,015,645

With that explanation out of the way, let's continue. Next, we take the number 308,015,645 and divide it by 2:

308,015,645 ÷ 2 = 154,007,822.5

If the quotient is a whole number, then 2 and 154,007,822.5 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:

1 308,015,645
-1 -308,015,645

Now, we try dividing 308,015,645 by 3:

308,015,645 ÷ 3 = 102,671,881.6667

If the quotient is a whole number, then 3 and 102,671,881.6667 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:

1 308,015,645
-1 -308,015,645

Let's try dividing by 4:

308,015,645 ÷ 4 = 77,003,911.25

If the quotient is a whole number, then 4 and 77,003,911.25 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:

1 308,015,645
-1 308,015,645
Keep dividing by the next highest number until you cannot divide anymore.

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

157355412,7053,78716,26718,93581,335113,869569,3458,800,44744,002,23561,603,129308,015,645
-1-5-7-35-541-2,705-3,787-16,267-18,935-81,335-113,869-569,345-8,800,447-44,002,235-61,603,129-308,015,645

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 308,015,645:


Ask a Question