A:
Positive:
1 x 7012233055 x 140244661101 x 6942805307 x 2284115505 x 13885611535 x 4568234523 x 15503522615 x 31007
Negative:
-1 x -701223305-5 x -140244661-101 x -6942805-307 x -2284115-505 x -1388561-1535 x -456823-4523 x -155035-22615 x -31007
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 701,223,305, 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 | 701,223,305 | |
| -1 | -701,223,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 701,223,305.
Example:
1 x 701,223,305 = 701,223,305
and
-1 x -701,223,305 = 701,223,305
Notice both answers equal 701,223,305
With that explanation out of the way, let's continue. Next, we take the number 701,223,305 and divide it by 2:
701,223,305 ÷ 2 = 350,611,652.5
If the quotient is a whole number, then 2 and 350,611,652.5 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 | 701,223,305 | |
| -1 | -701,223,305 |
Now, we try dividing 701,223,305 by 3:
701,223,305 ÷ 3 = 233,741,101.6667
If the quotient is a whole number, then 3 and 233,741,101.6667 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 | 701,223,305 | |
| -1 | -701,223,305 |
Let's try dividing by 4:
701,223,305 ÷ 4 = 175,305,826.25
If the quotient is a whole number, then 4 and 175,305,826.25 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 | 701,223,305 | |
| -1 | 701,223,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 101 | 307 | 505 | 1,535 | 4,523 | 22,615 | 31,007 | 155,035 | 456,823 | 1,388,561 | 2,284,115 | 6,942,805 | 140,244,661 | 701,223,305 |
| -1 | -5 | -101 | -307 | -505 | -1,535 | -4,523 | -22,615 | -31,007 | -155,035 | -456,823 | -1,388,561 | -2,284,115 | -6,942,805 | -140,244,661 | -701,223,305 |
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