A:
Positive:
1 x 30143323111 x 2740302147 x 6413473107 x 2817133517 x 5830431177 x 2561035029 x 599395449 x 55319
Negative:
-1 x -301433231-11 x -27403021-47 x -6413473-107 x -2817133-517 x -583043-1177 x -256103-5029 x -59939-5449 x -55319
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 301,433,231, it is easier to work with a table - it's called factoring from the outside in.
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 | 301,433,231 | |
| -1 | -301,433,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,433,231.
Example:
1 x 301,433,231 = 301,433,231
and
-1 x -301,433,231 = 301,433,231
Notice both answers equal 301,433,231
With that explanation out of the way, let's continue. Next, we take the number 301,433,231 and divide it by 2:
301,433,231 ÷ 2 = 150,716,615.5
If the quotient is a whole number, then 2 and 150,716,615.5 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 | 301,433,231 | |
| -1 | -301,433,231 |
Now, we try dividing 301,433,231 by 3:
301,433,231 ÷ 3 = 100,477,743.6667
If the quotient is a whole number, then 3 and 100,477,743.6667 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 | 301,433,231 | |
| -1 | -301,433,231 |
Let's try dividing by 4:
301,433,231 ÷ 4 = 75,358,307.75
If the quotient is a whole number, then 4 and 75,358,307.75 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 | 301,433,231 | |
| -1 | 301,433,231 |
If you did it right, you will end up with this table:
| 1 | 11 | 47 | 107 | 517 | 1,177 | 5,029 | 5,449 | 55,319 | 59,939 | 256,103 | 583,043 | 2,817,133 | 6,413,473 | 27,403,021 | 301,433,231 |
| -1 | -11 | -47 | -107 | -517 | -1,177 | -5,029 | -5,449 | -55,319 | -59,939 | -256,103 | -583,043 | -2,817,133 | -6,413,473 | -27,403,021 | -301,433,231 |
Here are some more numbers to try:
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