A:
Positive:
1 x 314045655 x 628091341 x 765965205 x 153193307 x 102295499 x 629351535 x 204592495 x 12587
Negative:
-1 x -31404565-5 x -6280913-41 x -765965-205 x -153193-307 x -102295-499 x -62935-1535 x -20459-2495 x -12587
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 31,404,565, 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 | 31,404,565 | |
| -1 | -31,404,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,404,565.
Example:
1 x 31,404,565 = 31,404,565
and
-1 x -31,404,565 = 31,404,565
Notice both answers equal 31,404,565
With that explanation out of the way, let's continue. Next, we take the number 31,404,565 and divide it by 2:
31,404,565 ÷ 2 = 15,702,282.5
If the quotient is a whole number, then 2 and 15,702,282.5 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 | 31,404,565 | |
| -1 | -31,404,565 |
Now, we try dividing 31,404,565 by 3:
31,404,565 ÷ 3 = 10,468,188.3333
If the quotient is a whole number, then 3 and 10,468,188.3333 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 | 31,404,565 | |
| -1 | -31,404,565 |
Let's try dividing by 4:
31,404,565 ÷ 4 = 7,851,141.25
If the quotient is a whole number, then 4 and 7,851,141.25 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 | 31,404,565 | |
| -1 | 31,404,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 307 | 499 | 1,535 | 2,495 | 12,587 | 20,459 | 62,935 | 102,295 | 153,193 | 765,965 | 6,280,913 | 31,404,565 |
| -1 | -5 | -41 | -205 | -307 | -499 | -1,535 | -2,495 | -12,587 | -20,459 | -62,935 | -102,295 | -153,193 | -765,965 | -6,280,913 | -31,404,565 |
Here are some more numbers to try:
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