Q: What are the factor combinations of the number 303,151,009?

 A:
Positive:   1 x 3031510097 x 43307287107 x 2833187227 x 1335467749 x 4047411589 x 1907811783 x 17002312481 x 24289
Negative: -1 x -303151009-7 x -43307287-107 x -2833187-227 x -1335467-749 x -404741-1589 x -190781-1783 x -170023-12481 x -24289


How do I find the factor combinations of the number 303,151,009?

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 303,151,009, 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.

1 303,151,009
-1 -303,151,009

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 303,151,009.

Example:
1 x 303,151,009 = 303,151,009
and
-1 x -303,151,009 = 303,151,009
Notice both answers equal 303,151,009

With that explanation out of the way, let's continue. Next, we take the number 303,151,009 and divide it by 2:

303,151,009 ÷ 2 = 151,575,504.5

If the quotient is a whole number, then 2 and 151,575,504.5 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:

1 303,151,009
-1 -303,151,009

Now, we try dividing 303,151,009 by 3:

303,151,009 ÷ 3 = 101,050,336.3333

If the quotient is a whole number, then 3 and 101,050,336.3333 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:

1 303,151,009
-1 -303,151,009

Let's try dividing by 4:

303,151,009 ÷ 4 = 75,787,752.25

If the quotient is a whole number, then 4 and 75,787,752.25 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:

1 303,151,009
-1 303,151,009
Keep dividing by the next highest number until you cannot divide anymore.

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

171072277491,5891,78312,48124,289170,023190,781404,7411,335,4672,833,18743,307,287303,151,009
-1-7-107-227-749-1,589-1,783-12,481-24,289-170,023-190,781-404,741-1,335,467-2,833,187-43,307,287-303,151,009

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