A:
Positive:
1 x 3152540237 x 4503628919 x 1659231737 x 8520379133 x 2370331259 x 1217197703 x 4484414921 x 64063
Negative:
-1 x -315254023-7 x -45036289-19 x -16592317-37 x -8520379-133 x -2370331-259 x -1217197-703 x -448441-4921 x -64063
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 315,254,023, 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 | 315,254,023 | |
| -1 | -315,254,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,254,023.
Example:
1 x 315,254,023 = 315,254,023
and
-1 x -315,254,023 = 315,254,023
Notice both answers equal 315,254,023
With that explanation out of the way, let's continue. Next, we take the number 315,254,023 and divide it by 2:
315,254,023 ÷ 2 = 157,627,011.5
If the quotient is a whole number, then 2 and 157,627,011.5 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 | 315,254,023 | |
| -1 | -315,254,023 |
Now, we try dividing 315,254,023 by 3:
315,254,023 ÷ 3 = 105,084,674.3333
If the quotient is a whole number, then 3 and 105,084,674.3333 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 | 315,254,023 | |
| -1 | -315,254,023 |
Let's try dividing by 4:
315,254,023 ÷ 4 = 78,813,505.75
If the quotient is a whole number, then 4 and 78,813,505.75 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 | 315,254,023 | |
| -1 | 315,254,023 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 37 | 133 | 259 | 703 | 4,921 | 64,063 | 448,441 | 1,217,197 | 2,370,331 | 8,520,379 | 16,592,317 | 45,036,289 | 315,254,023 |
| -1 | -7 | -19 | -37 | -133 | -259 | -703 | -4,921 | -64,063 | -448,441 | -1,217,197 | -2,370,331 | -8,520,379 | -16,592,317 | -45,036,289 | -315,254,023 |
Here are some more numbers to try:
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