A:
Positive:
1 x 3151322237 x 4501888923 x 1370140153 x 5945891161 x 1957343371 x 8494131219 x 2585178533 x 36931
Negative:
-1 x -315132223-7 x -45018889-23 x -13701401-53 x -5945891-161 x -1957343-371 x -849413-1219 x -258517-8533 x -36931
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 315,132,223, 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 | 315,132,223 | |
| -1 | -315,132,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,132,223.
Example:
1 x 315,132,223 = 315,132,223
and
-1 x -315,132,223 = 315,132,223
Notice both answers equal 315,132,223
With that explanation out of the way, let's continue. Next, we take the number 315,132,223 and divide it by 2:
315,132,223 ÷ 2 = 157,566,111.5
If the quotient is a whole number, then 2 and 157,566,111.5 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 | 315,132,223 | |
| -1 | -315,132,223 |
Now, we try dividing 315,132,223 by 3:
315,132,223 ÷ 3 = 105,044,074.3333
If the quotient is a whole number, then 3 and 105,044,074.3333 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 | 315,132,223 | |
| -1 | -315,132,223 |
Let's try dividing by 4:
315,132,223 ÷ 4 = 78,783,055.75
If the quotient is a whole number, then 4 and 78,783,055.75 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 | 315,132,223 | |
| -1 | 315,132,223 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 53 | 161 | 371 | 1,219 | 8,533 | 36,931 | 258,517 | 849,413 | 1,957,343 | 5,945,891 | 13,701,401 | 45,018,889 | 315,132,223 |
| -1 | -7 | -23 | -53 | -161 | -371 | -1,219 | -8,533 | -36,931 | -258,517 | -849,413 | -1,957,343 | -5,945,891 | -13,701,401 | -45,018,889 | -315,132,223 |
Here are some more numbers to try:
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