A:
Positive:
1 x 311415655 x 62283137 x 444879513 x 239550535 x 88975965 x 47910191 x 342215455 x 68443
Negative:
-1 x -31141565-5 x -6228313-7 x -4448795-13 x -2395505-35 x -889759-65 x -479101-91 x -342215-455 x -68443
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 31,141,565, 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 | 31,141,565 | |
| -1 | -31,141,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,141,565.
Example:
1 x 31,141,565 = 31,141,565
and
-1 x -31,141,565 = 31,141,565
Notice both answers equal 31,141,565
With that explanation out of the way, let's continue. Next, we take the number 31,141,565 and divide it by 2:
31,141,565 ÷ 2 = 15,570,782.5
If the quotient is a whole number, then 2 and 15,570,782.5 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 | 31,141,565 | |
| -1 | -31,141,565 |
Now, we try dividing 31,141,565 by 3:
31,141,565 ÷ 3 = 10,380,521.6667
If the quotient is a whole number, then 3 and 10,380,521.6667 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 | 31,141,565 | |
| -1 | -31,141,565 |
Let's try dividing by 4:
31,141,565 ÷ 4 = 7,785,391.25
If the quotient is a whole number, then 4 and 7,785,391.25 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 | 31,141,565 | |
| -1 | 31,141,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 68,443 | 342,215 | 479,101 | 889,759 | 2,395,505 | 4,448,795 | 6,228,313 | 31,141,565 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -68,443 | -342,215 | -479,101 | -889,759 | -2,395,505 | -4,448,795 | -6,228,313 | -31,141,565 |
Here are some more numbers to try:
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