A:
Positive:
1 x 1031021397 x 1472887761 x 169019989 x 1158451427 x 241457623 x 1654932713 x 380035429 x 18991
Negative:
-1 x -103102139-7 x -14728877-61 x -1690199-89 x -1158451-427 x -241457-623 x -165493-2713 x -38003-5429 x -18991
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 103,102,139, 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 | 103,102,139 | |
| -1 | -103,102,139 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,102,139.
Example:
1 x 103,102,139 = 103,102,139
and
-1 x -103,102,139 = 103,102,139
Notice both answers equal 103,102,139
With that explanation out of the way, let's continue. Next, we take the number 103,102,139 and divide it by 2:
103,102,139 ÷ 2 = 51,551,069.5
If the quotient is a whole number, then 2 and 51,551,069.5 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 | 103,102,139 | |
| -1 | -103,102,139 |
Now, we try dividing 103,102,139 by 3:
103,102,139 ÷ 3 = 34,367,379.6667
If the quotient is a whole number, then 3 and 34,367,379.6667 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 | 103,102,139 | |
| -1 | -103,102,139 |
Let's try dividing by 4:
103,102,139 ÷ 4 = 25,775,534.75
If the quotient is a whole number, then 4 and 25,775,534.75 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 | 103,102,139 | |
| -1 | 103,102,139 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 89 | 427 | 623 | 2,713 | 5,429 | 18,991 | 38,003 | 165,493 | 241,457 | 1,158,451 | 1,690,199 | 14,728,877 | 103,102,139 |
| -1 | -7 | -61 | -89 | -427 | -623 | -2,713 | -5,429 | -18,991 | -38,003 | -165,493 | -241,457 | -1,158,451 | -1,690,199 | -14,728,877 | -103,102,139 |
Here are some more numbers to try:
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