A:
Positive:
1 x 1021214355 x 2042428713 x 785549565 x 1571099157 x 650455785 x 1300912041 x 5003510007 x 10205
Negative:
-1 x -102121435-5 x -20424287-13 x -7855495-65 x -1571099-157 x -650455-785 x -130091-2041 x -50035-10007 x -10205
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 102,121,435, 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 | 102,121,435 | |
| -1 | -102,121,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,121,435.
Example:
1 x 102,121,435 = 102,121,435
and
-1 x -102,121,435 = 102,121,435
Notice both answers equal 102,121,435
With that explanation out of the way, let's continue. Next, we take the number 102,121,435 and divide it by 2:
102,121,435 ÷ 2 = 51,060,717.5
If the quotient is a whole number, then 2 and 51,060,717.5 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 | 102,121,435 | |
| -1 | -102,121,435 |
Now, we try dividing 102,121,435 by 3:
102,121,435 ÷ 3 = 34,040,478.3333
If the quotient is a whole number, then 3 and 34,040,478.3333 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 | 102,121,435 | |
| -1 | -102,121,435 |
Let's try dividing by 4:
102,121,435 ÷ 4 = 25,530,358.75
If the quotient is a whole number, then 4 and 25,530,358.75 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 | 102,121,435 | |
| -1 | 102,121,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 157 | 785 | 2,041 | 10,007 | 10,205 | 50,035 | 130,091 | 650,455 | 1,571,099 | 7,855,495 | 20,424,287 | 102,121,435 |
| -1 | -5 | -13 | -65 | -157 | -785 | -2,041 | -10,007 | -10,205 | -50,035 | -130,091 | -650,455 | -1,571,099 | -7,855,495 | -20,424,287 | -102,121,435 |
Here are some more numbers to try:
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