A:
Positive:
1 x 14572372111 x 1324761113 x 11209517143 x 1019047179 x 8140991969 x 740092327 x 626235693 x 25597
Negative:
-1 x -145723721-11 x -13247611-13 x -11209517-143 x -1019047-179 x -814099-1969 x -74009-2327 x -62623-5693 x -25597
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 145,723,721, 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 | 145,723,721 | |
| -1 | -145,723,721 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 145,723,721.
Example:
1 x 145,723,721 = 145,723,721
and
-1 x -145,723,721 = 145,723,721
Notice both answers equal 145,723,721
With that explanation out of the way, let's continue. Next, we take the number 145,723,721 and divide it by 2:
145,723,721 ÷ 2 = 72,861,860.5
If the quotient is a whole number, then 2 and 72,861,860.5 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 | 145,723,721 | |
| -1 | -145,723,721 |
Now, we try dividing 145,723,721 by 3:
145,723,721 ÷ 3 = 48,574,573.6667
If the quotient is a whole number, then 3 and 48,574,573.6667 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 | 145,723,721 | |
| -1 | -145,723,721 |
Let's try dividing by 4:
145,723,721 ÷ 4 = 36,430,930.25
If the quotient is a whole number, then 4 and 36,430,930.25 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 | 145,723,721 | |
| -1 | 145,723,721 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 179 | 1,969 | 2,327 | 5,693 | 25,597 | 62,623 | 74,009 | 814,099 | 1,019,047 | 11,209,517 | 13,247,611 | 145,723,721 |
| -1 | -11 | -13 | -143 | -179 | -1,969 | -2,327 | -5,693 | -25,597 | -62,623 | -74,009 | -814,099 | -1,019,047 | -11,209,517 | -13,247,611 | -145,723,721 |
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