A:
Positive:
1 x 7050711255 x 14101422511 x 6409737525 x 2820284555 x 12819475125 x 5640569275 x 25638951375 x 512779
Negative:
-1 x -705071125-5 x -141014225-11 x -64097375-25 x -28202845-55 x -12819475-125 x -5640569-275 x -2563895-1375 x -512779
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 705,071,125, 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 | 705,071,125 | |
| -1 | -705,071,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 705,071,125.
Example:
1 x 705,071,125 = 705,071,125
and
-1 x -705,071,125 = 705,071,125
Notice both answers equal 705,071,125
With that explanation out of the way, let's continue. Next, we take the number 705,071,125 and divide it by 2:
705,071,125 ÷ 2 = 352,535,562.5
If the quotient is a whole number, then 2 and 352,535,562.5 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 | 705,071,125 | |
| -1 | -705,071,125 |
Now, we try dividing 705,071,125 by 3:
705,071,125 ÷ 3 = 235,023,708.3333
If the quotient is a whole number, then 3 and 235,023,708.3333 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 | 705,071,125 | |
| -1 | -705,071,125 |
Let's try dividing by 4:
705,071,125 ÷ 4 = 176,267,781.25
If the quotient is a whole number, then 4 and 176,267,781.25 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 | 705,071,125 | |
| -1 | 705,071,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 512,779 | 2,563,895 | 5,640,569 | 12,819,475 | 28,202,845 | 64,097,375 | 141,014,225 | 705,071,125 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -512,779 | -2,563,895 | -5,640,569 | -12,819,475 | -28,202,845 | -64,097,375 | -141,014,225 | -705,071,125 |
Here are some more numbers to try:
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