A:
Positive:
1 x 381668217 x 545240311 x 346971123 x 165942777 x 495673161 x 237061253 x 150857529 x 72149937 x 407331771 x 215513703 x 103075819 x 6559
Negative:
-1 x -38166821-7 x -5452403-11 x -3469711-23 x -1659427-77 x -495673-161 x -237061-253 x -150857-529 x -72149-937 x -40733-1771 x -21551-3703 x -10307-5819 x -6559
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 38,166,821, 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 | 38,166,821 | |
| -1 | -38,166,821 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,166,821.
Example:
1 x 38,166,821 = 38,166,821
and
-1 x -38,166,821 = 38,166,821
Notice both answers equal 38,166,821
With that explanation out of the way, let's continue. Next, we take the number 38,166,821 and divide it by 2:
38,166,821 ÷ 2 = 19,083,410.5
If the quotient is a whole number, then 2 and 19,083,410.5 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 | 38,166,821 | |
| -1 | -38,166,821 |
Now, we try dividing 38,166,821 by 3:
38,166,821 ÷ 3 = 12,722,273.6667
If the quotient is a whole number, then 3 and 12,722,273.6667 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 | 38,166,821 | |
| -1 | -38,166,821 |
Let's try dividing by 4:
38,166,821 ÷ 4 = 9,541,705.25
If the quotient is a whole number, then 4 and 9,541,705.25 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 | 38,166,821 | |
| -1 | 38,166,821 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 23 | 77 | 161 | 253 | 529 | 937 | 1,771 | 3,703 | 5,819 | 6,559 | 10,307 | 21,551 | 40,733 | 72,149 | 150,857 | 237,061 | 495,673 | 1,659,427 | 3,469,711 | 5,452,403 | 38,166,821 |
| -1 | -7 | -11 | -23 | -77 | -161 | -253 | -529 | -937 | -1,771 | -3,703 | -5,819 | -6,559 | -10,307 | -21,551 | -40,733 | -72,149 | -150,857 | -237,061 | -495,673 | -1,659,427 | -3,469,711 | -5,452,403 | -38,166,821 |
Here are some more numbers to try:
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