A:
Positive:
1 x 3455043137 x 4935775911 x 3140948377 x 4487069197 x 17538291379 x 2505472167 x 15943915169 x 22777
Negative:
-1 x -345504313-7 x -49357759-11 x -31409483-77 x -4487069-197 x -1753829-1379 x -250547-2167 x -159439-15169 x -22777
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 345,504,313, 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 | 345,504,313 | |
| -1 | -345,504,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 345,504,313.
Example:
1 x 345,504,313 = 345,504,313
and
-1 x -345,504,313 = 345,504,313
Notice both answers equal 345,504,313
With that explanation out of the way, let's continue. Next, we take the number 345,504,313 and divide it by 2:
345,504,313 ÷ 2 = 172,752,156.5
If the quotient is a whole number, then 2 and 172,752,156.5 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 | 345,504,313 | |
| -1 | -345,504,313 |
Now, we try dividing 345,504,313 by 3:
345,504,313 ÷ 3 = 115,168,104.3333
If the quotient is a whole number, then 3 and 115,168,104.3333 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 | 345,504,313 | |
| -1 | -345,504,313 |
Let's try dividing by 4:
345,504,313 ÷ 4 = 86,376,078.25
If the quotient is a whole number, then 4 and 86,376,078.25 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 | 345,504,313 | |
| -1 | 345,504,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 197 | 1,379 | 2,167 | 15,169 | 22,777 | 159,439 | 250,547 | 1,753,829 | 4,487,069 | 31,409,483 | 49,357,759 | 345,504,313 |
| -1 | -7 | -11 | -77 | -197 | -1,379 | -2,167 | -15,169 | -22,777 | -159,439 | -250,547 | -1,753,829 | -4,487,069 | -31,409,483 | -49,357,759 | -345,504,313 |
Here are some more numbers to try:
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