A:
Positive:
1 x 3012302097 x 4303288737 x 814135771 x 4242679259 x 1163051497 x 6060972627 x 11466716381 x 18389
Negative:
-1 x -301230209-7 x -43032887-37 x -8141357-71 x -4242679-259 x -1163051-497 x -606097-2627 x -114667-16381 x -18389
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 301,230,209, 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 | 301,230,209 | |
| -1 | -301,230,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,230,209.
Example:
1 x 301,230,209 = 301,230,209
and
-1 x -301,230,209 = 301,230,209
Notice both answers equal 301,230,209
With that explanation out of the way, let's continue. Next, we take the number 301,230,209 and divide it by 2:
301,230,209 ÷ 2 = 150,615,104.5
If the quotient is a whole number, then 2 and 150,615,104.5 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 | 301,230,209 | |
| -1 | -301,230,209 |
Now, we try dividing 301,230,209 by 3:
301,230,209 ÷ 3 = 100,410,069.6667
If the quotient is a whole number, then 3 and 100,410,069.6667 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 | 301,230,209 | |
| -1 | -301,230,209 |
Let's try dividing by 4:
301,230,209 ÷ 4 = 75,307,552.25
If the quotient is a whole number, then 4 and 75,307,552.25 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 | 301,230,209 | |
| -1 | 301,230,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 71 | 259 | 497 | 2,627 | 16,381 | 18,389 | 114,667 | 606,097 | 1,163,051 | 4,242,679 | 8,141,357 | 43,032,887 | 301,230,209 |
| -1 | -7 | -37 | -71 | -259 | -497 | -2,627 | -16,381 | -18,389 | -114,667 | -606,097 | -1,163,051 | -4,242,679 | -8,141,357 | -43,032,887 | -301,230,209 |
Here are some more numbers to try:
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