A:
Positive:
1 x 3451335237 x 4930478943 x 8026361301 x 1146623607 x 5685891889 x 1827074249 x 8122713223 x 26101
Negative:
-1 x -345133523-7 x -49304789-43 x -8026361-301 x -1146623-607 x -568589-1889 x -182707-4249 x -81227-13223 x -26101
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 345,133,523, 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 | 345,133,523 | |
| -1 | -345,133,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 345,133,523.
Example:
1 x 345,133,523 = 345,133,523
and
-1 x -345,133,523 = 345,133,523
Notice both answers equal 345,133,523
With that explanation out of the way, let's continue. Next, we take the number 345,133,523 and divide it by 2:
345,133,523 ÷ 2 = 172,566,761.5
If the quotient is a whole number, then 2 and 172,566,761.5 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 | 345,133,523 | |
| -1 | -345,133,523 |
Now, we try dividing 345,133,523 by 3:
345,133,523 ÷ 3 = 115,044,507.6667
If the quotient is a whole number, then 3 and 115,044,507.6667 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 | 345,133,523 | |
| -1 | -345,133,523 |
Let's try dividing by 4:
345,133,523 ÷ 4 = 86,283,380.75
If the quotient is a whole number, then 4 and 86,283,380.75 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 | 345,133,523 | |
| -1 | 345,133,523 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 301 | 607 | 1,889 | 4,249 | 13,223 | 26,101 | 81,227 | 182,707 | 568,589 | 1,146,623 | 8,026,361 | 49,304,789 | 345,133,523 |
| -1 | -7 | -43 | -301 | -607 | -1,889 | -4,249 | -13,223 | -26,101 | -81,227 | -182,707 | -568,589 | -1,146,623 | -8,026,361 | -49,304,789 | -345,133,523 |
Here are some more numbers to try:
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