A:
Positive:
1 x 1001109977 x 1430157131 x 3229387139 x 720223217 x 461341973 x 1028893319 x 301634309 x 23233
Negative:
-1 x -100110997-7 x -14301571-31 x -3229387-139 x -720223-217 x -461341-973 x -102889-3319 x -30163-4309 x -23233
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 100,110,997, 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 | 100,110,997 | |
| -1 | -100,110,997 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,110,997.
Example:
1 x 100,110,997 = 100,110,997
and
-1 x -100,110,997 = 100,110,997
Notice both answers equal 100,110,997
With that explanation out of the way, let's continue. Next, we take the number 100,110,997 and divide it by 2:
100,110,997 ÷ 2 = 50,055,498.5
If the quotient is a whole number, then 2 and 50,055,498.5 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 | 100,110,997 | |
| -1 | -100,110,997 |
Now, we try dividing 100,110,997 by 3:
100,110,997 ÷ 3 = 33,370,332.3333
If the quotient is a whole number, then 3 and 33,370,332.3333 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 | 100,110,997 | |
| -1 | -100,110,997 |
Let's try dividing by 4:
100,110,997 ÷ 4 = 25,027,749.25
If the quotient is a whole number, then 4 and 25,027,749.25 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 | 100,110,997 | |
| -1 | 100,110,997 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 139 | 217 | 973 | 3,319 | 4,309 | 23,233 | 30,163 | 102,889 | 461,341 | 720,223 | 3,229,387 | 14,301,571 | 100,110,997 |
| -1 | -7 | -31 | -139 | -217 | -973 | -3,319 | -4,309 | -23,233 | -30,163 | -102,889 | -461,341 | -720,223 | -3,229,387 | -14,301,571 | -100,110,997 |
Here are some more numbers to try:
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