A:
Positive:
1 x 4101313455 x 8202626913 x 3154856565 x 6309713197 x 2081885985 x 4163772561 x 16014512805 x 32029
Negative:
-1 x -410131345-5 x -82026269-13 x -31548565-65 x -6309713-197 x -2081885-985 x -416377-2561 x -160145-12805 x -32029
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 410,131,345, 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 | 410,131,345 | |
| -1 | -410,131,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 410,131,345.
Example:
1 x 410,131,345 = 410,131,345
and
-1 x -410,131,345 = 410,131,345
Notice both answers equal 410,131,345
With that explanation out of the way, let's continue. Next, we take the number 410,131,345 and divide it by 2:
410,131,345 ÷ 2 = 205,065,672.5
If the quotient is a whole number, then 2 and 205,065,672.5 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 | 410,131,345 | |
| -1 | -410,131,345 |
Now, we try dividing 410,131,345 by 3:
410,131,345 ÷ 3 = 136,710,448.3333
If the quotient is a whole number, then 3 and 136,710,448.3333 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 | 410,131,345 | |
| -1 | -410,131,345 |
Let's try dividing by 4:
410,131,345 ÷ 4 = 102,532,836.25
If the quotient is a whole number, then 4 and 102,532,836.25 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 | 410,131,345 | |
| -1 | 410,131,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 197 | 985 | 2,561 | 12,805 | 32,029 | 160,145 | 416,377 | 2,081,885 | 6,309,713 | 31,548,565 | 82,026,269 | 410,131,345 |
| -1 | -5 | -13 | -65 | -197 | -985 | -2,561 | -12,805 | -32,029 | -160,145 | -416,377 | -2,081,885 | -6,309,713 | -31,548,565 | -82,026,269 | -410,131,345 |
Here are some more numbers to try:
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