A:
Positive:
1 x 7082145055 x 14164290123 x 30791935113 x 6267385115 x 6158387565 x 12534772599 x 27249512995 x 54499
Negative:
-1 x -708214505-5 x -141642901-23 x -30791935-113 x -6267385-115 x -6158387-565 x -1253477-2599 x -272495-12995 x -54499
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 708,214,505, 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 | 708,214,505 | |
| -1 | -708,214,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 708,214,505.
Example:
1 x 708,214,505 = 708,214,505
and
-1 x -708,214,505 = 708,214,505
Notice both answers equal 708,214,505
With that explanation out of the way, let's continue. Next, we take the number 708,214,505 and divide it by 2:
708,214,505 ÷ 2 = 354,107,252.5
If the quotient is a whole number, then 2 and 354,107,252.5 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 | 708,214,505 | |
| -1 | -708,214,505 |
Now, we try dividing 708,214,505 by 3:
708,214,505 ÷ 3 = 236,071,501.6667
If the quotient is a whole number, then 3 and 236,071,501.6667 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 | 708,214,505 | |
| -1 | -708,214,505 |
Let's try dividing by 4:
708,214,505 ÷ 4 = 177,053,626.25
If the quotient is a whole number, then 4 and 177,053,626.25 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 | 708,214,505 | |
| -1 | 708,214,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 113 | 115 | 565 | 2,599 | 12,995 | 54,499 | 272,495 | 1,253,477 | 6,158,387 | 6,267,385 | 30,791,935 | 141,642,901 | 708,214,505 |
| -1 | -5 | -23 | -113 | -115 | -565 | -2,599 | -12,995 | -54,499 | -272,495 | -1,253,477 | -6,158,387 | -6,267,385 | -30,791,935 | -141,642,901 | -708,214,505 |
Here are some more numbers to try:
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