A:
Positive:
1 x 10210299729 x 352079341 x 249031779 x 12924431087 x 939311189 x 858732291 x 445673239 x 31523
Negative:
-1 x -102102997-29 x -3520793-41 x -2490317-79 x -1292443-1087 x -93931-1189 x -85873-2291 x -44567-3239 x -31523
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 102,102,997, 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 | 102,102,997 | |
| -1 | -102,102,997 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,102,997.
Example:
1 x 102,102,997 = 102,102,997
and
-1 x -102,102,997 = 102,102,997
Notice both answers equal 102,102,997
With that explanation out of the way, let's continue. Next, we take the number 102,102,997 and divide it by 2:
102,102,997 ÷ 2 = 51,051,498.5
If the quotient is a whole number, then 2 and 51,051,498.5 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 | 102,102,997 | |
| -1 | -102,102,997 |
Now, we try dividing 102,102,997 by 3:
102,102,997 ÷ 3 = 34,034,332.3333
If the quotient is a whole number, then 3 and 34,034,332.3333 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 | 102,102,997 | |
| -1 | -102,102,997 |
Let's try dividing by 4:
102,102,997 ÷ 4 = 25,525,749.25
If the quotient is a whole number, then 4 and 25,525,749.25 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 | 102,102,997 | |
| -1 | 102,102,997 |
If you did it right, you will end up with this table:
| 1 | 29 | 41 | 79 | 1,087 | 1,189 | 2,291 | 3,239 | 31,523 | 44,567 | 85,873 | 93,931 | 1,292,443 | 2,490,317 | 3,520,793 | 102,102,997 |
| -1 | -29 | -41 | -79 | -1,087 | -1,189 | -2,291 | -3,239 | -31,523 | -44,567 | -85,873 | -93,931 | -1,292,443 | -2,490,317 | -3,520,793 | -102,102,997 |
Here are some more numbers to try:
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