A:
Positive:
1 x 1004122217 x 1434460313 x 772401749 x 204922991 x 1103431343 x 292747637 x 1576332401 x 418213217 x 312134459 x 22519
Negative:
-1 x -100412221-7 x -14344603-13 x -7724017-49 x -2049229-91 x -1103431-343 x -292747-637 x -157633-2401 x -41821-3217 x -31213-4459 x -22519
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 100,412,221, 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 | 100,412,221 | |
| -1 | -100,412,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,412,221.
Example:
1 x 100,412,221 = 100,412,221
and
-1 x -100,412,221 = 100,412,221
Notice both answers equal 100,412,221
With that explanation out of the way, let's continue. Next, we take the number 100,412,221 and divide it by 2:
100,412,221 ÷ 2 = 50,206,110.5
If the quotient is a whole number, then 2 and 50,206,110.5 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 | 100,412,221 | |
| -1 | -100,412,221 |
Now, we try dividing 100,412,221 by 3:
100,412,221 ÷ 3 = 33,470,740.3333
If the quotient is a whole number, then 3 and 33,470,740.3333 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 | 100,412,221 | |
| -1 | -100,412,221 |
Let's try dividing by 4:
100,412,221 ÷ 4 = 25,103,055.25
If the quotient is a whole number, then 4 and 25,103,055.25 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 | 100,412,221 | |
| -1 | 100,412,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 91 | 343 | 637 | 2,401 | 3,217 | 4,459 | 22,519 | 31,213 | 41,821 | 157,633 | 292,747 | 1,103,431 | 2,049,229 | 7,724,017 | 14,344,603 | 100,412,221 |
| -1 | -7 | -13 | -49 | -91 | -343 | -637 | -2,401 | -3,217 | -4,459 | -22,519 | -31,213 | -41,821 | -157,633 | -292,747 | -1,103,431 | -2,049,229 | -7,724,017 | -14,344,603 | -100,412,221 |
Here are some more numbers to try:
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