Q: What are the factor combinations of the number 304,303,303?

 A:
Positive:   1 x 30430330343 x 7076821103 x 2954401127 x 2396089541 x 5624834429 x 687075461 x 5572313081 x 23263
Negative: -1 x -304303303-43 x -7076821-103 x -2954401-127 x -2396089-541 x -562483-4429 x -68707-5461 x -55723-13081 x -23263


How do I find the factor combinations of the number 304,303,303?

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 304,303,303, 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.

1 304,303,303
-1 -304,303,303

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 304,303,303.

Example:
1 x 304,303,303 = 304,303,303
and
-1 x -304,303,303 = 304,303,303
Notice both answers equal 304,303,303

With that explanation out of the way, let's continue. Next, we take the number 304,303,303 and divide it by 2:

304,303,303 ÷ 2 = 152,151,651.5

If the quotient is a whole number, then 2 and 152,151,651.5 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:

1 304,303,303
-1 -304,303,303

Now, we try dividing 304,303,303 by 3:

304,303,303 ÷ 3 = 101,434,434.3333

If the quotient is a whole number, then 3 and 101,434,434.3333 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:

1 304,303,303
-1 -304,303,303

Let's try dividing by 4:

304,303,303 ÷ 4 = 76,075,825.75

If the quotient is a whole number, then 4 and 76,075,825.75 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:

1 304,303,303
-1 304,303,303
Keep dividing by the next highest number until you cannot divide anymore.

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

1431031275414,4295,46113,08123,26355,72368,707562,4832,396,0892,954,4017,076,821304,303,303
-1-43-103-127-541-4,429-5,461-13,081-23,263-55,723-68,707-562,483-2,396,089-2,954,401-7,076,821-304,303,303

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 304,303,303:


Ask a Question