Q: What are the factor combinations of the number 303,807,023?

 A:
Positive:   1 x 30380702313 x 2336977123 x 1320900161 x 4980443299 x 1016077793 x 3831111403 x 21654116657 x 18239
Negative: -1 x -303807023-13 x -23369771-23 x -13209001-61 x -4980443-299 x -1016077-793 x -383111-1403 x -216541-16657 x -18239


How do I find the factor combinations of the number 303,807,023?

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 303,807,023, 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.

1 303,807,023
-1 -303,807,023

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 303,807,023.

Example:
1 x 303,807,023 = 303,807,023
and
-1 x -303,807,023 = 303,807,023
Notice both answers equal 303,807,023

With that explanation out of the way, let's continue. Next, we take the number 303,807,023 and divide it by 2:

303,807,023 ÷ 2 = 151,903,511.5

If the quotient is a whole number, then 2 and 151,903,511.5 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:

1 303,807,023
-1 -303,807,023

Now, we try dividing 303,807,023 by 3:

303,807,023 ÷ 3 = 101,269,007.6667

If the quotient is a whole number, then 3 and 101,269,007.6667 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:

1 303,807,023
-1 -303,807,023

Let's try dividing by 4:

303,807,023 ÷ 4 = 75,951,755.75

If the quotient is a whole number, then 4 and 75,951,755.75 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:

1 303,807,023
-1 303,807,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11323612997931,40316,65718,239216,541383,1111,016,0774,980,44313,209,00123,369,771303,807,023
-1-13-23-61-299-793-1,403-16,657-18,239-216,541-383,111-1,016,077-4,980,443-13,209,001-23,369,771-303,807,023

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