Q: What are the factor combinations of the number 303,551,165?

 A:
Positive:   1 x 3035511655 x 6071023359 x 5144935271 x 1120115295 x 10289871355 x 2240233797 x 7994515989 x 18985
Negative: -1 x -303551165-5 x -60710233-59 x -5144935-271 x -1120115-295 x -1028987-1355 x -224023-3797 x -79945-15989 x -18985


How do I find the factor combinations of the number 303,551,165?

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 303,551,165, 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.

1 303,551,165
-1 -303,551,165

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 303,551,165.

Example:
1 x 303,551,165 = 303,551,165
and
-1 x -303,551,165 = 303,551,165
Notice both answers equal 303,551,165

With that explanation out of the way, let's continue. Next, we take the number 303,551,165 and divide it by 2:

303,551,165 ÷ 2 = 151,775,582.5

If the quotient is a whole number, then 2 and 151,775,582.5 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:

1 303,551,165
-1 -303,551,165

Now, we try dividing 303,551,165 by 3:

303,551,165 ÷ 3 = 101,183,721.6667

If the quotient is a whole number, then 3 and 101,183,721.6667 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:

1 303,551,165
-1 -303,551,165

Let's try dividing by 4:

303,551,165 ÷ 4 = 75,887,791.25

If the quotient is a whole number, then 4 and 75,887,791.25 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:

1 303,551,165
-1 303,551,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15592712951,3553,79715,98918,98579,945224,0231,028,9871,120,1155,144,93560,710,233303,551,165
-1-5-59-271-295-1,355-3,797-15,989-18,985-79,945-224,023-1,028,987-1,120,115-5,144,935-60,710,233-303,551,165

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