A:
Positive:
1 x 70525671711 x 6411424743 x 16401319157 x 4492081473 x 14910291727 x 4083716751 x 1044679497 x 74261
Negative:
-1 x -705256717-11 x -64114247-43 x -16401319-157 x -4492081-473 x -1491029-1727 x -408371-6751 x -104467-9497 x -74261
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 705,256,717, 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 | 705,256,717 | |
| -1 | -705,256,717 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 705,256,717.
Example:
1 x 705,256,717 = 705,256,717
and
-1 x -705,256,717 = 705,256,717
Notice both answers equal 705,256,717
With that explanation out of the way, let's continue. Next, we take the number 705,256,717 and divide it by 2:
705,256,717 ÷ 2 = 352,628,358.5
If the quotient is a whole number, then 2 and 352,628,358.5 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 | 705,256,717 | |
| -1 | -705,256,717 |
Now, we try dividing 705,256,717 by 3:
705,256,717 ÷ 3 = 235,085,572.3333
If the quotient is a whole number, then 3 and 235,085,572.3333 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 | 705,256,717 | |
| -1 | -705,256,717 |
Let's try dividing by 4:
705,256,717 ÷ 4 = 176,314,179.25
If the quotient is a whole number, then 4 and 176,314,179.25 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 | 705,256,717 | |
| -1 | 705,256,717 |
If you did it right, you will end up with this table:
| 1 | 11 | 43 | 157 | 473 | 1,727 | 6,751 | 9,497 | 74,261 | 104,467 | 408,371 | 1,491,029 | 4,492,081 | 16,401,319 | 64,114,247 | 705,256,717 |
| -1 | -11 | -43 | -157 | -473 | -1,727 | -6,751 | -9,497 | -74,261 | -104,467 | -408,371 | -1,491,029 | -4,492,081 | -16,401,319 | -64,114,247 | -705,256,717 |
Here are some more numbers to try:
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