A:
Positive:
1 x 1021434055 x 204286817 x 1459191513 x 785718535 x 291838365 x 157143791 x 1122455455 x 224491
Negative:
-1 x -102143405-5 x -20428681-7 x -14591915-13 x -7857185-35 x -2918383-65 x -1571437-91 x -1122455-455 x -224491
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 102,143,405, 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 | 102,143,405 | |
| -1 | -102,143,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,143,405.
Example:
1 x 102,143,405 = 102,143,405
and
-1 x -102,143,405 = 102,143,405
Notice both answers equal 102,143,405
With that explanation out of the way, let's continue. Next, we take the number 102,143,405 and divide it by 2:
102,143,405 ÷ 2 = 51,071,702.5
If the quotient is a whole number, then 2 and 51,071,702.5 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 | 102,143,405 | |
| -1 | -102,143,405 |
Now, we try dividing 102,143,405 by 3:
102,143,405 ÷ 3 = 34,047,801.6667
If the quotient is a whole number, then 3 and 34,047,801.6667 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 | 102,143,405 | |
| -1 | -102,143,405 |
Let's try dividing by 4:
102,143,405 ÷ 4 = 25,535,851.25
If the quotient is a whole number, then 4 and 25,535,851.25 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 | 102,143,405 | |
| -1 | 102,143,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 224,491 | 1,122,455 | 1,571,437 | 2,918,383 | 7,857,185 | 14,591,915 | 20,428,681 | 102,143,405 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -224,491 | -1,122,455 | -1,571,437 | -2,918,383 | -7,857,185 | -14,591,915 | -20,428,681 | -102,143,405 |
Here are some more numbers to try:
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