A:
Positive:
1 x 4005120655 x 8010241371 x 5641015317 x 1263445355 x 11282031585 x 2526893559 x 11253517795 x 22507
Negative:
-1 x -400512065-5 x -80102413-71 x -5641015-317 x -1263445-355 x -1128203-1585 x -252689-3559 x -112535-17795 x -22507
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 400,512,065, 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 | 400,512,065 | |
| -1 | -400,512,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,512,065.
Example:
1 x 400,512,065 = 400,512,065
and
-1 x -400,512,065 = 400,512,065
Notice both answers equal 400,512,065
With that explanation out of the way, let's continue. Next, we take the number 400,512,065 and divide it by 2:
400,512,065 ÷ 2 = 200,256,032.5
If the quotient is a whole number, then 2 and 200,256,032.5 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 | 400,512,065 | |
| -1 | -400,512,065 |
Now, we try dividing 400,512,065 by 3:
400,512,065 ÷ 3 = 133,504,021.6667
If the quotient is a whole number, then 3 and 133,504,021.6667 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 | 400,512,065 | |
| -1 | -400,512,065 |
Let's try dividing by 4:
400,512,065 ÷ 4 = 100,128,016.25
If the quotient is a whole number, then 4 and 100,128,016.25 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 | 400,512,065 | |
| -1 | 400,512,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 71 | 317 | 355 | 1,585 | 3,559 | 17,795 | 22,507 | 112,535 | 252,689 | 1,128,203 | 1,263,445 | 5,641,015 | 80,102,413 | 400,512,065 |
| -1 | -5 | -71 | -317 | -355 | -1,585 | -3,559 | -17,795 | -22,507 | -112,535 | -252,689 | -1,128,203 | -1,263,445 | -5,641,015 | -80,102,413 | -400,512,065 |
Here are some more numbers to try:
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