A:
Positive:
1 x 1073026577 x 1532895111 x 975478717 x 631192177 x 1393541119 x 901703187 x 5738111309 x 81973
Negative:
-1 x -107302657-7 x -15328951-11 x -9754787-17 x -6311921-77 x -1393541-119 x -901703-187 x -573811-1309 x -81973
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 107,302,657, 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 | 107,302,657 | |
| -1 | -107,302,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 107,302,657.
Example:
1 x 107,302,657 = 107,302,657
and
-1 x -107,302,657 = 107,302,657
Notice both answers equal 107,302,657
With that explanation out of the way, let's continue. Next, we take the number 107,302,657 and divide it by 2:
107,302,657 ÷ 2 = 53,651,328.5
If the quotient is a whole number, then 2 and 53,651,328.5 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 | 107,302,657 | |
| -1 | -107,302,657 |
Now, we try dividing 107,302,657 by 3:
107,302,657 ÷ 3 = 35,767,552.3333
If the quotient is a whole number, then 3 and 35,767,552.3333 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 | 107,302,657 | |
| -1 | -107,302,657 |
Let's try dividing by 4:
107,302,657 ÷ 4 = 26,825,664.25
If the quotient is a whole number, then 4 and 26,825,664.25 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 | 107,302,657 | |
| -1 | 107,302,657 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 17 | 77 | 119 | 187 | 1,309 | 81,973 | 573,811 | 901,703 | 1,393,541 | 6,311,921 | 9,754,787 | 15,328,951 | 107,302,657 |
| -1 | -7 | -11 | -17 | -77 | -119 | -187 | -1,309 | -81,973 | -573,811 | -901,703 | -1,393,541 | -6,311,921 | -9,754,787 | -15,328,951 | -107,302,657 |
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