A:
Positive:
1 x 1301200255 x 260240057 x 1858857525 x 520480135 x 3717715107 x 1216075175 x 743543535 x 243215749 x 1737252675 x 486433745 x 347456949 x 18725
Negative:
-1 x -130120025-5 x -26024005-7 x -18588575-25 x -5204801-35 x -3717715-107 x -1216075-175 x -743543-535 x -243215-749 x -173725-2675 x -48643-3745 x -34745-6949 x -18725
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 130,120,025, 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 | 130,120,025 | |
| -1 | -130,120,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 130,120,025.
Example:
1 x 130,120,025 = 130,120,025
and
-1 x -130,120,025 = 130,120,025
Notice both answers equal 130,120,025
With that explanation out of the way, let's continue. Next, we take the number 130,120,025 and divide it by 2:
130,120,025 ÷ 2 = 65,060,012.5
If the quotient is a whole number, then 2 and 65,060,012.5 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 | 130,120,025 | |
| -1 | -130,120,025 |
Now, we try dividing 130,120,025 by 3:
130,120,025 ÷ 3 = 43,373,341.6667
If the quotient is a whole number, then 3 and 43,373,341.6667 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 | 130,120,025 | |
| -1 | -130,120,025 |
Let's try dividing by 4:
130,120,025 ÷ 4 = 32,530,006.25
If the quotient is a whole number, then 4 and 32,530,006.25 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 | 130,120,025 | |
| -1 | 130,120,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 107 | 175 | 535 | 749 | 2,675 | 3,745 | 6,949 | 18,725 | 34,745 | 48,643 | 173,725 | 243,215 | 743,543 | 1,216,075 | 3,717,715 | 5,204,801 | 18,588,575 | 26,024,005 | 130,120,025 |
| -1 | -5 | -7 | -25 | -35 | -107 | -175 | -535 | -749 | -2,675 | -3,745 | -6,949 | -18,725 | -34,745 | -48,643 | -173,725 | -243,215 | -743,543 | -1,216,075 | -3,717,715 | -5,204,801 | -18,588,575 | -26,024,005 | -130,120,025 |
Here are some more numbers to try:
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