A:
Positive:
1 x 4005351055 x 8010702119 x 2108079595 x 4216159683 x 5864353415 x 1172876173 x 6488512977 x 30865
Negative:
-1 x -400535105-5 x -80107021-19 x -21080795-95 x -4216159-683 x -586435-3415 x -117287-6173 x -64885-12977 x -30865
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 400,535,105, 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 | 400,535,105 | |
| -1 | -400,535,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,535,105.
Example:
1 x 400,535,105 = 400,535,105
and
-1 x -400,535,105 = 400,535,105
Notice both answers equal 400,535,105
With that explanation out of the way, let's continue. Next, we take the number 400,535,105 and divide it by 2:
400,535,105 ÷ 2 = 200,267,552.5
If the quotient is a whole number, then 2 and 200,267,552.5 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 | 400,535,105 | |
| -1 | -400,535,105 |
Now, we try dividing 400,535,105 by 3:
400,535,105 ÷ 3 = 133,511,701.6667
If the quotient is a whole number, then 3 and 133,511,701.6667 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 | 400,535,105 | |
| -1 | -400,535,105 |
Let's try dividing by 4:
400,535,105 ÷ 4 = 100,133,776.25
If the quotient is a whole number, then 4 and 100,133,776.25 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 | 400,535,105 | |
| -1 | 400,535,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 683 | 3,415 | 6,173 | 12,977 | 30,865 | 64,885 | 117,287 | 586,435 | 4,216,159 | 21,080,795 | 80,107,021 | 400,535,105 |
| -1 | -5 | -19 | -95 | -683 | -3,415 | -6,173 | -12,977 | -30,865 | -64,885 | -117,287 | -586,435 | -4,216,159 | -21,080,795 | -80,107,021 | -400,535,105 |
Here are some more numbers to try:
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