A:
Positive:
1 x 4011304155 x 802260837 x 5730434535 x 1146086949 x 8186335197 x 2036195245 x 1637267985 x 4072391379 x 2908856895 x 581778311 x 482659653 x 41555
Negative:
-1 x -401130415-5 x -80226083-7 x -57304345-35 x -11460869-49 x -8186335-197 x -2036195-245 x -1637267-985 x -407239-1379 x -290885-6895 x -58177-8311 x -48265-9653 x -41555
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 401,130,415, 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 | 401,130,415 | |
| -1 | -401,130,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,130,415.
Example:
1 x 401,130,415 = 401,130,415
and
-1 x -401,130,415 = 401,130,415
Notice both answers equal 401,130,415
With that explanation out of the way, let's continue. Next, we take the number 401,130,415 and divide it by 2:
401,130,415 ÷ 2 = 200,565,207.5
If the quotient is a whole number, then 2 and 200,565,207.5 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 | 401,130,415 | |
| -1 | -401,130,415 |
Now, we try dividing 401,130,415 by 3:
401,130,415 ÷ 3 = 133,710,138.3333
If the quotient is a whole number, then 3 and 133,710,138.3333 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 | 401,130,415 | |
| -1 | -401,130,415 |
Let's try dividing by 4:
401,130,415 ÷ 4 = 100,282,603.75
If the quotient is a whole number, then 4 and 100,282,603.75 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 | 401,130,415 | |
| -1 | 401,130,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 197 | 245 | 985 | 1,379 | 6,895 | 8,311 | 9,653 | 41,555 | 48,265 | 58,177 | 290,885 | 407,239 | 1,637,267 | 2,036,195 | 8,186,335 | 11,460,869 | 57,304,345 | 80,226,083 | 401,130,415 |
| -1 | -5 | -7 | -35 | -49 | -197 | -245 | -985 | -1,379 | -6,895 | -8,311 | -9,653 | -41,555 | -48,265 | -58,177 | -290,885 | -407,239 | -1,637,267 | -2,036,195 | -8,186,335 | -11,460,869 | -57,304,345 | -80,226,083 | -401,130,415 |
Here are some more numbers to try:
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