A:
Positive:
1 x 7253222355 x 14506444711 x 6593838555 x 1318767767 x 10825705335 x 2165141737 x 9841553685 x 196831
Negative:
-1 x -725322235-5 x -145064447-11 x -65938385-55 x -13187677-67 x -10825705-335 x -2165141-737 x -984155-3685 x -196831
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 725,322,235, 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 | 725,322,235 | |
| -1 | -725,322,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 725,322,235.
Example:
1 x 725,322,235 = 725,322,235
and
-1 x -725,322,235 = 725,322,235
Notice both answers equal 725,322,235
With that explanation out of the way, let's continue. Next, we take the number 725,322,235 and divide it by 2:
725,322,235 ÷ 2 = 362,661,117.5
If the quotient is a whole number, then 2 and 362,661,117.5 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 | 725,322,235 | |
| -1 | -725,322,235 |
Now, we try dividing 725,322,235 by 3:
725,322,235 ÷ 3 = 241,774,078.3333
If the quotient is a whole number, then 3 and 241,774,078.3333 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 | 725,322,235 | |
| -1 | -725,322,235 |
Let's try dividing by 4:
725,322,235 ÷ 4 = 181,330,558.75
If the quotient is a whole number, then 4 and 181,330,558.75 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 | 725,322,235 | |
| -1 | 725,322,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 67 | 335 | 737 | 3,685 | 196,831 | 984,155 | 2,165,141 | 10,825,705 | 13,187,677 | 65,938,385 | 145,064,447 | 725,322,235 |
| -1 | -5 | -11 | -55 | -67 | -335 | -737 | -3,685 | -196,831 | -984,155 | -2,165,141 | -10,825,705 | -13,187,677 | -65,938,385 | -145,064,447 | -725,322,235 |
Here are some more numbers to try:
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