A:
Positive:
1 x 4031625655 x 8063251313 x 3101250517 x 2371544565 x 620250185 x 4743089221 x 18242651105 x 364853
Negative:
-1 x -403162565-5 x -80632513-13 x -31012505-17 x -23715445-65 x -6202501-85 x -4743089-221 x -1824265-1105 x -364853
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 403,162,565, 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 | 403,162,565 | |
| -1 | -403,162,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,162,565.
Example:
1 x 403,162,565 = 403,162,565
and
-1 x -403,162,565 = 403,162,565
Notice both answers equal 403,162,565
With that explanation out of the way, let's continue. Next, we take the number 403,162,565 and divide it by 2:
403,162,565 ÷ 2 = 201,581,282.5
If the quotient is a whole number, then 2 and 201,581,282.5 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 | 403,162,565 | |
| -1 | -403,162,565 |
Now, we try dividing 403,162,565 by 3:
403,162,565 ÷ 3 = 134,387,521.6667
If the quotient is a whole number, then 3 and 134,387,521.6667 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 | 403,162,565 | |
| -1 | -403,162,565 |
Let's try dividing by 4:
403,162,565 ÷ 4 = 100,790,641.25
If the quotient is a whole number, then 4 and 100,790,641.25 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 | 403,162,565 | |
| -1 | 403,162,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 364,853 | 1,824,265 | 4,743,089 | 6,202,501 | 23,715,445 | 31,012,505 | 80,632,513 | 403,162,565 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -364,853 | -1,824,265 | -4,743,089 | -6,202,501 | -23,715,445 | -31,012,505 | -80,632,513 | -403,162,565 |
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