A:
Positive:
1 x 4030143055 x 8060286129 x 13897045145 x 2779409577 x 6984652885 x 1396934817 x 8366516733 x 24085
Negative:
-1 x -403014305-5 x -80602861-29 x -13897045-145 x -2779409-577 x -698465-2885 x -139693-4817 x -83665-16733 x -24085
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 403,014,305, 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 | 403,014,305 | |
| -1 | -403,014,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,014,305.
Example:
1 x 403,014,305 = 403,014,305
and
-1 x -403,014,305 = 403,014,305
Notice both answers equal 403,014,305
With that explanation out of the way, let's continue. Next, we take the number 403,014,305 and divide it by 2:
403,014,305 ÷ 2 = 201,507,152.5
If the quotient is a whole number, then 2 and 201,507,152.5 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 | 403,014,305 | |
| -1 | -403,014,305 |
Now, we try dividing 403,014,305 by 3:
403,014,305 ÷ 3 = 134,338,101.6667
If the quotient is a whole number, then 3 and 134,338,101.6667 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 | 403,014,305 | |
| -1 | -403,014,305 |
Let's try dividing by 4:
403,014,305 ÷ 4 = 100,753,576.25
If the quotient is a whole number, then 4 and 100,753,576.25 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 | 403,014,305 | |
| -1 | 403,014,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 577 | 2,885 | 4,817 | 16,733 | 24,085 | 83,665 | 139,693 | 698,465 | 2,779,409 | 13,897,045 | 80,602,861 | 403,014,305 |
| -1 | -5 | -29 | -145 | -577 | -2,885 | -4,817 | -16,733 | -24,085 | -83,665 | -139,693 | -698,465 | -2,779,409 | -13,897,045 | -80,602,861 | -403,014,305 |
Here are some more numbers to try:
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