Q: What are the factor combinations of the number 304,433,215?

 A:
Positive:   1 x 3044332155 x 6088664359 x 515988579 x 3853585295 x 1031977395 x 7707174661 x 6531513063 x 23305
Negative: -1 x -304433215-5 x -60886643-59 x -5159885-79 x -3853585-295 x -1031977-395 x -770717-4661 x -65315-13063 x -23305


How do I find the factor combinations of the number 304,433,215?

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 304,433,215, 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.

1 304,433,215
-1 -304,433,215

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 304,433,215.

Example:
1 x 304,433,215 = 304,433,215
and
-1 x -304,433,215 = 304,433,215
Notice both answers equal 304,433,215

With that explanation out of the way, let's continue. Next, we take the number 304,433,215 and divide it by 2:

304,433,215 ÷ 2 = 152,216,607.5

If the quotient is a whole number, then 2 and 152,216,607.5 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:

1 304,433,215
-1 -304,433,215

Now, we try dividing 304,433,215 by 3:

304,433,215 ÷ 3 = 101,477,738.3333

If the quotient is a whole number, then 3 and 101,477,738.3333 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:

1 304,433,215
-1 -304,433,215

Let's try dividing by 4:

304,433,215 ÷ 4 = 76,108,303.75

If the quotient is a whole number, then 4 and 76,108,303.75 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:

1 304,433,215
-1 304,433,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1559792953954,66113,06323,30565,315770,7171,031,9773,853,5855,159,88560,886,643304,433,215
-1-5-59-79-295-395-4,661-13,063-23,305-65,315-770,717-1,031,977-3,853,585-5,159,885-60,886,643-304,433,215

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