A:
Positive:
1 x 3520133155 x 7040266347 x 7489645103 x 3417605235 x 1497929515 x 6835214841 x 7271514543 x 24205
Negative:
-1 x -352013315-5 x -70402663-47 x -7489645-103 x -3417605-235 x -1497929-515 x -683521-4841 x -72715-14543 x -24205
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 352,013,315, 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 | 352,013,315 | |
| -1 | -352,013,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 352,013,315.
Example:
1 x 352,013,315 = 352,013,315
and
-1 x -352,013,315 = 352,013,315
Notice both answers equal 352,013,315
With that explanation out of the way, let's continue. Next, we take the number 352,013,315 and divide it by 2:
352,013,315 ÷ 2 = 176,006,657.5
If the quotient is a whole number, then 2 and 176,006,657.5 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 | 352,013,315 | |
| -1 | -352,013,315 |
Now, we try dividing 352,013,315 by 3:
352,013,315 ÷ 3 = 117,337,771.6667
If the quotient is a whole number, then 3 and 117,337,771.6667 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 | 352,013,315 | |
| -1 | -352,013,315 |
Let's try dividing by 4:
352,013,315 ÷ 4 = 88,003,328.75
If the quotient is a whole number, then 4 and 88,003,328.75 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 | 352,013,315 | |
| -1 | 352,013,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 103 | 235 | 515 | 4,841 | 14,543 | 24,205 | 72,715 | 683,521 | 1,497,929 | 3,417,605 | 7,489,645 | 70,402,663 | 352,013,315 |
| -1 | -5 | -47 | -103 | -235 | -515 | -4,841 | -14,543 | -24,205 | -72,715 | -683,521 | -1,497,929 | -3,417,605 | -7,489,645 | -70,402,663 | -352,013,315 |
Here are some more numbers to try:
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