A:
Positive:
1 x 10231200111 x 930109117 x 6018353187 x 547123211 x 4848912321 x 440812593 x 394573587 x 28523
Negative:
-1 x -102312001-11 x -9301091-17 x -6018353-187 x -547123-211 x -484891-2321 x -44081-2593 x -39457-3587 x -28523
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 102,312,001, 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 | 102,312,001 | |
| -1 | -102,312,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,312,001.
Example:
1 x 102,312,001 = 102,312,001
and
-1 x -102,312,001 = 102,312,001
Notice both answers equal 102,312,001
With that explanation out of the way, let's continue. Next, we take the number 102,312,001 and divide it by 2:
102,312,001 ÷ 2 = 51,156,000.5
If the quotient is a whole number, then 2 and 51,156,000.5 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 | 102,312,001 | |
| -1 | -102,312,001 |
Now, we try dividing 102,312,001 by 3:
102,312,001 ÷ 3 = 34,104,000.3333
If the quotient is a whole number, then 3 and 34,104,000.3333 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 | 102,312,001 | |
| -1 | -102,312,001 |
Let's try dividing by 4:
102,312,001 ÷ 4 = 25,578,000.25
If the quotient is a whole number, then 4 and 25,578,000.25 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 | 102,312,001 | |
| -1 | 102,312,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 211 | 2,321 | 2,593 | 3,587 | 28,523 | 39,457 | 44,081 | 484,891 | 547,123 | 6,018,353 | 9,301,091 | 102,312,001 |
| -1 | -11 | -17 | -187 | -211 | -2,321 | -2,593 | -3,587 | -28,523 | -39,457 | -44,081 | -484,891 | -547,123 | -6,018,353 | -9,301,091 | -102,312,001 |
Here are some more numbers to try:
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