Q: What are the factor combinations of the number 307,334,555?

 A:
Positive:   1 x 3073345555 x 6146691111 x 2793950555 x 5587901121 x 2539955605 x 5079911331 x 2309056655 x 46181
Negative: -1 x -307334555-5 x -61466911-11 x -27939505-55 x -5587901-121 x -2539955-605 x -507991-1331 x -230905-6655 x -46181


How do I find the factor combinations of the number 307,334,555?

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 307,334,555, 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.

1 307,334,555
-1 -307,334,555

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 307,334,555.

Example:
1 x 307,334,555 = 307,334,555
and
-1 x -307,334,555 = 307,334,555
Notice both answers equal 307,334,555

With that explanation out of the way, let's continue. Next, we take the number 307,334,555 and divide it by 2:

307,334,555 ÷ 2 = 153,667,277.5

If the quotient is a whole number, then 2 and 153,667,277.5 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:

1 307,334,555
-1 -307,334,555

Now, we try dividing 307,334,555 by 3:

307,334,555 ÷ 3 = 102,444,851.6667

If the quotient is a whole number, then 3 and 102,444,851.6667 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:

1 307,334,555
-1 -307,334,555

Let's try dividing by 4:

307,334,555 ÷ 4 = 76,833,638.75

If the quotient is a whole number, then 4 and 76,833,638.75 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:

1 307,334,555
-1 307,334,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551216051,3316,65546,181230,905507,9912,539,9555,587,90127,939,50561,466,911307,334,555
-1-5-11-55-121-605-1,331-6,655-46,181-230,905-507,991-2,539,955-5,587,901-27,939,505-61,466,911-307,334,555

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