A:
Positive:
1 x 1301663097 x 1859518713 x 1001279391 x 1430399191 x 6814991337 x 973572483 x 524237489 x 17381
Negative:
-1 x -130166309-7 x -18595187-13 x -10012793-91 x -1430399-191 x -681499-1337 x -97357-2483 x -52423-7489 x -17381
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 130,166,309, 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 | 130,166,309 | |
| -1 | -130,166,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 130,166,309.
Example:
1 x 130,166,309 = 130,166,309
and
-1 x -130,166,309 = 130,166,309
Notice both answers equal 130,166,309
With that explanation out of the way, let's continue. Next, we take the number 130,166,309 and divide it by 2:
130,166,309 ÷ 2 = 65,083,154.5
If the quotient is a whole number, then 2 and 65,083,154.5 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 | 130,166,309 | |
| -1 | -130,166,309 |
Now, we try dividing 130,166,309 by 3:
130,166,309 ÷ 3 = 43,388,769.6667
If the quotient is a whole number, then 3 and 43,388,769.6667 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 | 130,166,309 | |
| -1 | -130,166,309 |
Let's try dividing by 4:
130,166,309 ÷ 4 = 32,541,577.25
If the quotient is a whole number, then 4 and 32,541,577.25 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 | 130,166,309 | |
| -1 | 130,166,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 191 | 1,337 | 2,483 | 7,489 | 17,381 | 52,423 | 97,357 | 681,499 | 1,430,399 | 10,012,793 | 18,595,187 | 130,166,309 |
| -1 | -7 | -13 | -91 | -191 | -1,337 | -2,483 | -7,489 | -17,381 | -52,423 | -97,357 | -681,499 | -1,430,399 | -10,012,793 | -18,595,187 | -130,166,309 |
Here are some more numbers to try:
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