Q: What are the factor combinations of the number 304,422,625?

 A:
Positive:   1 x 3044226255 x 6088452513 x 2341712525 x 1217690565 x 4683425125 x 2435381325 x 9366851625 x 187337
Negative: -1 x -304422625-5 x -60884525-13 x -23417125-25 x -12176905-65 x -4683425-125 x -2435381-325 x -936685-1625 x -187337


How do I find the factor combinations of the number 304,422,625?

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 304,422,625, 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.

1 304,422,625
-1 -304,422,625

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 304,422,625.

Example:
1 x 304,422,625 = 304,422,625
and
-1 x -304,422,625 = 304,422,625
Notice both answers equal 304,422,625

With that explanation out of the way, let's continue. Next, we take the number 304,422,625 and divide it by 2:

304,422,625 ÷ 2 = 152,211,312.5

If the quotient is a whole number, then 2 and 152,211,312.5 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:

1 304,422,625
-1 -304,422,625

Now, we try dividing 304,422,625 by 3:

304,422,625 ÷ 3 = 101,474,208.3333

If the quotient is a whole number, then 3 and 101,474,208.3333 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:

1 304,422,625
-1 -304,422,625

Let's try dividing by 4:

304,422,625 ÷ 4 = 76,105,656.25

If the quotient is a whole number, then 4 and 76,105,656.25 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:

1 304,422,625
-1 304,422,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,625187,337936,6852,435,3814,683,42512,176,90523,417,12560,884,525304,422,625
-1-5-13-25-65-125-325-1,625-187,337-936,685-2,435,381-4,683,425-12,176,905-23,417,125-60,884,525-304,422,625

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