A:
Positive:
1 x 1313210297 x 1876014737 x 354921749 x 2680021113 x 1162133259 x 507031641 x 204869791 x 1660191813 x 724334181 x 314094487 x 292675537 x 23717
Negative:
-1 x -131321029-7 x -18760147-37 x -3549217-49 x -2680021-113 x -1162133-259 x -507031-641 x -204869-791 x -166019-1813 x -72433-4181 x -31409-4487 x -29267-5537 x -23717
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 131,321,029, 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 | 131,321,029 | |
| -1 | -131,321,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,321,029.
Example:
1 x 131,321,029 = 131,321,029
and
-1 x -131,321,029 = 131,321,029
Notice both answers equal 131,321,029
With that explanation out of the way, let's continue. Next, we take the number 131,321,029 and divide it by 2:
131,321,029 ÷ 2 = 65,660,514.5
If the quotient is a whole number, then 2 and 65,660,514.5 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 | 131,321,029 | |
| -1 | -131,321,029 |
Now, we try dividing 131,321,029 by 3:
131,321,029 ÷ 3 = 43,773,676.3333
If the quotient is a whole number, then 3 and 43,773,676.3333 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 | 131,321,029 | |
| -1 | -131,321,029 |
Let's try dividing by 4:
131,321,029 ÷ 4 = 32,830,257.25
If the quotient is a whole number, then 4 and 32,830,257.25 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 | 131,321,029 | |
| -1 | 131,321,029 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 49 | 113 | 259 | 641 | 791 | 1,813 | 4,181 | 4,487 | 5,537 | 23,717 | 29,267 | 31,409 | 72,433 | 166,019 | 204,869 | 507,031 | 1,162,133 | 2,680,021 | 3,549,217 | 18,760,147 | 131,321,029 |
| -1 | -7 | -37 | -49 | -113 | -259 | -641 | -791 | -1,813 | -4,181 | -4,487 | -5,537 | -23,717 | -29,267 | -31,409 | -72,433 | -166,019 | -204,869 | -507,031 | -1,162,133 | -2,680,021 | -3,549,217 | -18,760,147 | -131,321,029 |
Here are some more numbers to try:
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