A:
Positive:
1 x 6012540055 x 12025080111 x 5465945555 x 10931891269 x 22351451345 x 4470292959 x 20319514795 x 40639
Negative:
-1 x -601254005-5 x -120250801-11 x -54659455-55 x -10931891-269 x -2235145-1345 x -447029-2959 x -203195-14795 x -40639
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 601,254,005, 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 | 601,254,005 | |
| -1 | -601,254,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 601,254,005.
Example:
1 x 601,254,005 = 601,254,005
and
-1 x -601,254,005 = 601,254,005
Notice both answers equal 601,254,005
With that explanation out of the way, let's continue. Next, we take the number 601,254,005 and divide it by 2:
601,254,005 ÷ 2 = 300,627,002.5
If the quotient is a whole number, then 2 and 300,627,002.5 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 | 601,254,005 | |
| -1 | -601,254,005 |
Now, we try dividing 601,254,005 by 3:
601,254,005 ÷ 3 = 200,418,001.6667
If the quotient is a whole number, then 3 and 200,418,001.6667 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 | 601,254,005 | |
| -1 | -601,254,005 |
Let's try dividing by 4:
601,254,005 ÷ 4 = 150,313,501.25
If the quotient is a whole number, then 4 and 150,313,501.25 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 | 601,254,005 | |
| -1 | 601,254,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 269 | 1,345 | 2,959 | 14,795 | 40,639 | 203,195 | 447,029 | 2,235,145 | 10,931,891 | 54,659,455 | 120,250,801 | 601,254,005 |
| -1 | -5 | -11 | -55 | -269 | -1,345 | -2,959 | -14,795 | -40,639 | -203,195 | -447,029 | -2,235,145 | -10,931,891 | -54,659,455 | -120,250,801 | -601,254,005 |
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