A:
Positive:
1 x 4011422355 x 8022844713 x 3085709565 x 6171419197 x 2036255985 x 4072512561 x 15663512805 x 31327
Negative:
-1 x -401142235-5 x -80228447-13 x -30857095-65 x -6171419-197 x -2036255-985 x -407251-2561 x -156635-12805 x -31327
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 401,142,235, 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 | 401,142,235 | |
| -1 | -401,142,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,142,235.
Example:
1 x 401,142,235 = 401,142,235
and
-1 x -401,142,235 = 401,142,235
Notice both answers equal 401,142,235
With that explanation out of the way, let's continue. Next, we take the number 401,142,235 and divide it by 2:
401,142,235 ÷ 2 = 200,571,117.5
If the quotient is a whole number, then 2 and 200,571,117.5 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 | 401,142,235 | |
| -1 | -401,142,235 |
Now, we try dividing 401,142,235 by 3:
401,142,235 ÷ 3 = 133,714,078.3333
If the quotient is a whole number, then 3 and 133,714,078.3333 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 | 401,142,235 | |
| -1 | -401,142,235 |
Let's try dividing by 4:
401,142,235 ÷ 4 = 100,285,558.75
If the quotient is a whole number, then 4 and 100,285,558.75 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 | 401,142,235 | |
| -1 | 401,142,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 197 | 985 | 2,561 | 12,805 | 31,327 | 156,635 | 407,251 | 2,036,255 | 6,171,419 | 30,857,095 | 80,228,447 | 401,142,235 |
| -1 | -5 | -13 | -65 | -197 | -985 | -2,561 | -12,805 | -31,327 | -156,635 | -407,251 | -2,036,255 | -6,171,419 | -30,857,095 | -80,228,447 | -401,142,235 |
Here are some more numbers to try:
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