A:
Positive:
1 x 35250101323 x 1532613171 x 496480373 x 48287811633 x 2158611679 x 2099472957 x 1192095183 x 68011
Negative:
-1 x -352501013-23 x -15326131-71 x -4964803-73 x -4828781-1633 x -215861-1679 x -209947-2957 x -119209-5183 x -68011
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 352,501,013, 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 | 352,501,013 | |
| -1 | -352,501,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 352,501,013.
Example:
1 x 352,501,013 = 352,501,013
and
-1 x -352,501,013 = 352,501,013
Notice both answers equal 352,501,013
With that explanation out of the way, let's continue. Next, we take the number 352,501,013 and divide it by 2:
352,501,013 ÷ 2 = 176,250,506.5
If the quotient is a whole number, then 2 and 176,250,506.5 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 | 352,501,013 | |
| -1 | -352,501,013 |
Now, we try dividing 352,501,013 by 3:
352,501,013 ÷ 3 = 117,500,337.6667
If the quotient is a whole number, then 3 and 117,500,337.6667 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 | 352,501,013 | |
| -1 | -352,501,013 |
Let's try dividing by 4:
352,501,013 ÷ 4 = 88,125,253.25
If the quotient is a whole number, then 4 and 88,125,253.25 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 | 352,501,013 | |
| -1 | 352,501,013 |
If you did it right, you will end up with this table:
| 1 | 23 | 71 | 73 | 1,633 | 1,679 | 2,957 | 5,183 | 68,011 | 119,209 | 209,947 | 215,861 | 4,828,781 | 4,964,803 | 15,326,131 | 352,501,013 |
| -1 | -23 | -71 | -73 | -1,633 | -1,679 | -2,957 | -5,183 | -68,011 | -119,209 | -209,947 | -215,861 | -4,828,781 | -4,964,803 | -15,326,131 | -352,501,013 |
Here are some more numbers to try:
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