A:
Positive:
1 x 7017786255 x 14035572525 x 28071145125 x 56142292243 x 3128752503 x 28037511215 x 6257512515 x 56075
Negative:
-1 x -701778625-5 x -140355725-25 x -28071145-125 x -5614229-2243 x -312875-2503 x -280375-11215 x -62575-12515 x -56075
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 701,778,625, 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 | 701,778,625 | |
| -1 | -701,778,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 701,778,625.
Example:
1 x 701,778,625 = 701,778,625
and
-1 x -701,778,625 = 701,778,625
Notice both answers equal 701,778,625
With that explanation out of the way, let's continue. Next, we take the number 701,778,625 and divide it by 2:
701,778,625 ÷ 2 = 350,889,312.5
If the quotient is a whole number, then 2 and 350,889,312.5 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 | 701,778,625 | |
| -1 | -701,778,625 |
Now, we try dividing 701,778,625 by 3:
701,778,625 ÷ 3 = 233,926,208.3333
If the quotient is a whole number, then 3 and 233,926,208.3333 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 | 701,778,625 | |
| -1 | -701,778,625 |
Let's try dividing by 4:
701,778,625 ÷ 4 = 175,444,656.25
If the quotient is a whole number, then 4 and 175,444,656.25 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 | 701,778,625 | |
| -1 | 701,778,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 2,243 | 2,503 | 11,215 | 12,515 | 56,075 | 62,575 | 280,375 | 312,875 | 5,614,229 | 28,071,145 | 140,355,725 | 701,778,625 |
| -1 | -5 | -25 | -125 | -2,243 | -2,503 | -11,215 | -12,515 | -56,075 | -62,575 | -280,375 | -312,875 | -5,614,229 | -28,071,145 | -140,355,725 | -701,778,625 |
Here are some more numbers to try:
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