A:
Positive:
1 x 353152317 x 504503331 x 113920149 x 72071967 x 527093217 x 162743347 x 101773469 x 752991519 x 232492077 x 170032429 x 145393283 x 10757
Negative:
-1 x -35315231-7 x -5045033-31 x -1139201-49 x -720719-67 x -527093-217 x -162743-347 x -101773-469 x -75299-1519 x -23249-2077 x -17003-2429 x -14539-3283 x -10757
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 35,315,231, 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 | 35,315,231 | |
| -1 | -35,315,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,315,231.
Example:
1 x 35,315,231 = 35,315,231
and
-1 x -35,315,231 = 35,315,231
Notice both answers equal 35,315,231
With that explanation out of the way, let's continue. Next, we take the number 35,315,231 and divide it by 2:
35,315,231 ÷ 2 = 17,657,615.5
If the quotient is a whole number, then 2 and 17,657,615.5 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 | 35,315,231 | |
| -1 | -35,315,231 |
Now, we try dividing 35,315,231 by 3:
35,315,231 ÷ 3 = 11,771,743.6667
If the quotient is a whole number, then 3 and 11,771,743.6667 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 | 35,315,231 | |
| -1 | -35,315,231 |
Let's try dividing by 4:
35,315,231 ÷ 4 = 8,828,807.75
If the quotient is a whole number, then 4 and 8,828,807.75 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 | 35,315,231 | |
| -1 | 35,315,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 49 | 67 | 217 | 347 | 469 | 1,519 | 2,077 | 2,429 | 3,283 | 10,757 | 14,539 | 17,003 | 23,249 | 75,299 | 101,773 | 162,743 | 527,093 | 720,719 | 1,139,201 | 5,045,033 | 35,315,231 |
| -1 | -7 | -31 | -49 | -67 | -217 | -347 | -469 | -1,519 | -2,077 | -2,429 | -3,283 | -10,757 | -14,539 | -17,003 | -23,249 | -75,299 | -101,773 | -162,743 | -527,093 | -720,719 | -1,139,201 | -5,045,033 | -35,315,231 |
Here are some more numbers to try:
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