A:
Positive:
1 x 10206010111 x 927819113 x 7850777143 x 713707619 x 1648791153 x 885176809 x 149898047 x 12683
Negative:
-1 x -102060101-11 x -9278191-13 x -7850777-143 x -713707-619 x -164879-1153 x -88517-6809 x -14989-8047 x -12683
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 102,060,101, 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 | 102,060,101 | |
| -1 | -102,060,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,060,101.
Example:
1 x 102,060,101 = 102,060,101
and
-1 x -102,060,101 = 102,060,101
Notice both answers equal 102,060,101
With that explanation out of the way, let's continue. Next, we take the number 102,060,101 and divide it by 2:
102,060,101 ÷ 2 = 51,030,050.5
If the quotient is a whole number, then 2 and 51,030,050.5 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 | 102,060,101 | |
| -1 | -102,060,101 |
Now, we try dividing 102,060,101 by 3:
102,060,101 ÷ 3 = 34,020,033.6667
If the quotient is a whole number, then 3 and 34,020,033.6667 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 | 102,060,101 | |
| -1 | -102,060,101 |
Let's try dividing by 4:
102,060,101 ÷ 4 = 25,515,025.25
If the quotient is a whole number, then 4 and 25,515,025.25 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 | 102,060,101 | |
| -1 | 102,060,101 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 619 | 1,153 | 6,809 | 8,047 | 12,683 | 14,989 | 88,517 | 164,879 | 713,707 | 7,850,777 | 9,278,191 | 102,060,101 |
| -1 | -11 | -13 | -143 | -619 | -1,153 | -6,809 | -8,047 | -12,683 | -14,989 | -88,517 | -164,879 | -713,707 | -7,850,777 | -9,278,191 | -102,060,101 |
Here are some more numbers to try:
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