A:
Positive:
1 x 67436403111 x 61305821127 x 5309953241 x 27981911397 x 4827232003 x 3366772651 x 25438122033 x 30607
Negative:
-1 x -674364031-11 x -61305821-127 x -5309953-241 x -2798191-1397 x -482723-2003 x -336677-2651 x -254381-22033 x -30607
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 674,364,031, 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 | 674,364,031 | |
| -1 | -674,364,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 674,364,031.
Example:
1 x 674,364,031 = 674,364,031
and
-1 x -674,364,031 = 674,364,031
Notice both answers equal 674,364,031
With that explanation out of the way, let's continue. Next, we take the number 674,364,031 and divide it by 2:
674,364,031 ÷ 2 = 337,182,015.5
If the quotient is a whole number, then 2 and 337,182,015.5 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 | 674,364,031 | |
| -1 | -674,364,031 |
Now, we try dividing 674,364,031 by 3:
674,364,031 ÷ 3 = 224,788,010.3333
If the quotient is a whole number, then 3 and 224,788,010.3333 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 | 674,364,031 | |
| -1 | -674,364,031 |
Let's try dividing by 4:
674,364,031 ÷ 4 = 168,591,007.75
If the quotient is a whole number, then 4 and 168,591,007.75 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 | 674,364,031 | |
| -1 | 674,364,031 |
If you did it right, you will end up with this table:
| 1 | 11 | 127 | 241 | 1,397 | 2,003 | 2,651 | 22,033 | 30,607 | 254,381 | 336,677 | 482,723 | 2,798,191 | 5,309,953 | 61,305,821 | 674,364,031 |
| -1 | -11 | -127 | -241 | -1,397 | -2,003 | -2,651 | -22,033 | -30,607 | -254,381 | -336,677 | -482,723 | -2,798,191 | -5,309,953 | -61,305,821 | -674,364,031 |
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