A:
Positive:
1 x 1016632111 x 92421161 x 166661109 x 93269139 x 73139671 x 151511199 x 84791529 x 6649
Negative:
-1 x -10166321-11 x -924211-61 x -166661-109 x -93269-139 x -73139-671 x -15151-1199 x -8479-1529 x -6649
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 10,166,321, 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 | 10,166,321 | |
| -1 | -10,166,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,166,321.
Example:
1 x 10,166,321 = 10,166,321
and
-1 x -10,166,321 = 10,166,321
Notice both answers equal 10,166,321
With that explanation out of the way, let's continue. Next, we take the number 10,166,321 and divide it by 2:
10,166,321 ÷ 2 = 5,083,160.5
If the quotient is a whole number, then 2 and 5,083,160.5 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 | 10,166,321 | |
| -1 | -10,166,321 |
Now, we try dividing 10,166,321 by 3:
10,166,321 ÷ 3 = 3,388,773.6667
If the quotient is a whole number, then 3 and 3,388,773.6667 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 | 10,166,321 | |
| -1 | -10,166,321 |
Let's try dividing by 4:
10,166,321 ÷ 4 = 2,541,580.25
If the quotient is a whole number, then 4 and 2,541,580.25 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 | 10,166,321 | |
| -1 | 10,166,321 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 109 | 139 | 671 | 1,199 | 1,529 | 6,649 | 8,479 | 15,151 | 73,139 | 93,269 | 166,661 | 924,211 | 10,166,321 |
| -1 | -11 | -61 | -109 | -139 | -671 | -1,199 | -1,529 | -6,649 | -8,479 | -15,151 | -73,139 | -93,269 | -166,661 | -924,211 | -10,166,321 |
Here are some more numbers to try:
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