Q: What are the factor combinations of the number 300,135,433?

 A:
Positive:   1 x 30013543313 x 2308734161 x 4920253461 x 651053793 x 378481821 x 3655735993 x 5008110673 x 28121
Negative: -1 x -300135433-13 x -23087341-61 x -4920253-461 x -651053-793 x -378481-821 x -365573-5993 x -50081-10673 x -28121


How do I find the factor combinations of the number 300,135,433?

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 300,135,433, 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.

1 300,135,433
-1 -300,135,433

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 300,135,433.

Example:
1 x 300,135,433 = 300,135,433
and
-1 x -300,135,433 = 300,135,433
Notice both answers equal 300,135,433

With that explanation out of the way, let's continue. Next, we take the number 300,135,433 and divide it by 2:

300,135,433 ÷ 2 = 150,067,716.5

If the quotient is a whole number, then 2 and 150,067,716.5 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:

1 300,135,433
-1 -300,135,433

Now, we try dividing 300,135,433 by 3:

300,135,433 ÷ 3 = 100,045,144.3333

If the quotient is a whole number, then 3 and 100,045,144.3333 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:

1 300,135,433
-1 -300,135,433

Let's try dividing by 4:

300,135,433 ÷ 4 = 75,033,858.25

If the quotient is a whole number, then 4 and 75,033,858.25 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:

1 300,135,433
-1 300,135,433
Keep dividing by the next highest number until you cannot divide anymore.

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

113614617938215,99310,67328,12150,081365,573378,481651,0534,920,25323,087,341300,135,433
-1-13-61-461-793-821-5,993-10,673-28,121-50,081-365,573-378,481-651,053-4,920,253-23,087,341-300,135,433

More Examples

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