A:
Positive:
1 x 151321317 x 216173349 x 308819157 x 96383281 x 53851343 x 441171099 x 137691967 x 7693
Negative:
-1 x -15132131-7 x -2161733-49 x -308819-157 x -96383-281 x -53851-343 x -44117-1099 x -13769-1967 x -7693
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 15,132,131, 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 | 15,132,131 | |
| -1 | -15,132,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 15,132,131.
Example:
1 x 15,132,131 = 15,132,131
and
-1 x -15,132,131 = 15,132,131
Notice both answers equal 15,132,131
With that explanation out of the way, let's continue. Next, we take the number 15,132,131 and divide it by 2:
15,132,131 ÷ 2 = 7,566,065.5
If the quotient is a whole number, then 2 and 7,566,065.5 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 | 15,132,131 | |
| -1 | -15,132,131 |
Now, we try dividing 15,132,131 by 3:
15,132,131 ÷ 3 = 5,044,043.6667
If the quotient is a whole number, then 3 and 5,044,043.6667 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 | 15,132,131 | |
| -1 | -15,132,131 |
Let's try dividing by 4:
15,132,131 ÷ 4 = 3,783,032.75
If the quotient is a whole number, then 4 and 3,783,032.75 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 | 15,132,131 | |
| -1 | 15,132,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 157 | 281 | 343 | 1,099 | 1,967 | 7,693 | 13,769 | 44,117 | 53,851 | 96,383 | 308,819 | 2,161,733 | 15,132,131 |
| -1 | -7 | -49 | -157 | -281 | -343 | -1,099 | -1,967 | -7,693 | -13,769 | -44,117 | -53,851 | -96,383 | -308,819 | -2,161,733 | -15,132,131 |
Here are some more numbers to try:
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