Q: What are the factor combinations of the number 304,147,625?

 A:
Positive:   1 x 3041476255 x 6082952525 x 12165905125 x 2433181331 x 9188751655 x 1837757351 x 413758275 x 36755
Negative: -1 x -304147625-5 x -60829525-25 x -12165905-125 x -2433181-331 x -918875-1655 x -183775-7351 x -41375-8275 x -36755


How do I find the factor combinations of the number 304,147,625?

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 304,147,625, 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.

1 304,147,625
-1 -304,147,625

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 304,147,625.

Example:
1 x 304,147,625 = 304,147,625
and
-1 x -304,147,625 = 304,147,625
Notice both answers equal 304,147,625

With that explanation out of the way, let's continue. Next, we take the number 304,147,625 and divide it by 2:

304,147,625 ÷ 2 = 152,073,812.5

If the quotient is a whole number, then 2 and 152,073,812.5 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:

1 304,147,625
-1 -304,147,625

Now, we try dividing 304,147,625 by 3:

304,147,625 ÷ 3 = 101,382,541.6667

If the quotient is a whole number, then 3 and 101,382,541.6667 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:

1 304,147,625
-1 -304,147,625

Let's try dividing by 4:

304,147,625 ÷ 4 = 76,036,906.25

If the quotient is a whole number, then 4 and 76,036,906.25 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:

1 304,147,625
-1 304,147,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253311,6557,3518,27536,75541,375183,775918,8752,433,18112,165,90560,829,525304,147,625
-1-5-25-125-331-1,655-7,351-8,275-36,755-41,375-183,775-918,875-2,433,181-12,165,905-60,829,525-304,147,625

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