A:
Positive:
1 x 4161114237 x 5944448913 x 3200857123 x 1809180191 x 4572653161 x 2584543299 x 13916772093 x 198811
Negative:
-1 x -416111423-7 x -59444489-13 x -32008571-23 x -18091801-91 x -4572653-161 x -2584543-299 x -1391677-2093 x -198811
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 416,111,423, 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 | 416,111,423 | |
| -1 | -416,111,423 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 416,111,423.
Example:
1 x 416,111,423 = 416,111,423
and
-1 x -416,111,423 = 416,111,423
Notice both answers equal 416,111,423
With that explanation out of the way, let's continue. Next, we take the number 416,111,423 and divide it by 2:
416,111,423 ÷ 2 = 208,055,711.5
If the quotient is a whole number, then 2 and 208,055,711.5 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 | 416,111,423 | |
| -1 | -416,111,423 |
Now, we try dividing 416,111,423 by 3:
416,111,423 ÷ 3 = 138,703,807.6667
If the quotient is a whole number, then 3 and 138,703,807.6667 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 | 416,111,423 | |
| -1 | -416,111,423 |
Let's try dividing by 4:
416,111,423 ÷ 4 = 104,027,855.75
If the quotient is a whole number, then 4 and 104,027,855.75 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 | 416,111,423 | |
| -1 | 416,111,423 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 198,811 | 1,391,677 | 2,584,543 | 4,572,653 | 18,091,801 | 32,008,571 | 59,444,489 | 416,111,423 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -198,811 | -1,391,677 | -2,584,543 | -4,572,653 | -18,091,801 | -32,008,571 | -59,444,489 | -416,111,423 |
Here are some more numbers to try:
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