A:
Positive:
1 x 7130828913 x 548525397 x 735137193 x 369473293 x 2433731261 x 565492509 x 284213809 x 18721
Negative:
-1 x -71308289-13 x -5485253-97 x -735137-193 x -369473-293 x -243373-1261 x -56549-2509 x -28421-3809 x -18721
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 71,308,289, 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 | 71,308,289 | |
| -1 | -71,308,289 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,308,289.
Example:
1 x 71,308,289 = 71,308,289
and
-1 x -71,308,289 = 71,308,289
Notice both answers equal 71,308,289
With that explanation out of the way, let's continue. Next, we take the number 71,308,289 and divide it by 2:
71,308,289 ÷ 2 = 35,654,144.5
If the quotient is a whole number, then 2 and 35,654,144.5 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 | 71,308,289 | |
| -1 | -71,308,289 |
Now, we try dividing 71,308,289 by 3:
71,308,289 ÷ 3 = 23,769,429.6667
If the quotient is a whole number, then 3 and 23,769,429.6667 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 | 71,308,289 | |
| -1 | -71,308,289 |
Let's try dividing by 4:
71,308,289 ÷ 4 = 17,827,072.25
If the quotient is a whole number, then 4 and 17,827,072.25 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 | 71,308,289 | |
| -1 | 71,308,289 |
If you did it right, you will end up with this table:
| 1 | 13 | 97 | 193 | 293 | 1,261 | 2,509 | 3,809 | 18,721 | 28,421 | 56,549 | 243,373 | 369,473 | 735,137 | 5,485,253 | 71,308,289 |
| -1 | -13 | -97 | -193 | -293 | -1,261 | -2,509 | -3,809 | -18,721 | -28,421 | -56,549 | -243,373 | -369,473 | -735,137 | -5,485,253 | -71,308,289 |
Here are some more numbers to try:
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