A:
Positive:
1 x 1311221455 x 262244297 x 1873173511 x 1192019535 x 374634755 x 238403977 x 1702885385 x 340577
Negative:
-1 x -131122145-5 x -26224429-7 x -18731735-11 x -11920195-35 x -3746347-55 x -2384039-77 x -1702885-385 x -340577
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 131,122,145, 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 | 131,122,145 | |
| -1 | -131,122,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,122,145.
Example:
1 x 131,122,145 = 131,122,145
and
-1 x -131,122,145 = 131,122,145
Notice both answers equal 131,122,145
With that explanation out of the way, let's continue. Next, we take the number 131,122,145 and divide it by 2:
131,122,145 ÷ 2 = 65,561,072.5
If the quotient is a whole number, then 2 and 65,561,072.5 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 | 131,122,145 | |
| -1 | -131,122,145 |
Now, we try dividing 131,122,145 by 3:
131,122,145 ÷ 3 = 43,707,381.6667
If the quotient is a whole number, then 3 and 43,707,381.6667 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 | 131,122,145 | |
| -1 | -131,122,145 |
Let's try dividing by 4:
131,122,145 ÷ 4 = 32,780,536.25
If the quotient is a whole number, then 4 and 32,780,536.25 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 | 131,122,145 | |
| -1 | 131,122,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 385 | 340,577 | 1,702,885 | 2,384,039 | 3,746,347 | 11,920,195 | 18,731,735 | 26,224,429 | 131,122,145 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -385 | -340,577 | -1,702,885 | -2,384,039 | -3,746,347 | -11,920,195 | -18,731,735 | -26,224,429 | -131,122,145 |
Here are some more numbers to try:
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