A:
Positive:
1 x 1002222137 x 1431745913 x 770940191 x 1101343137 x 731549959 x 1045071781 x 562738039 x 12467
Negative:
-1 x -100222213-7 x -14317459-13 x -7709401-91 x -1101343-137 x -731549-959 x -104507-1781 x -56273-8039 x -12467
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 100,222,213, 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 | 100,222,213 | |
| -1 | -100,222,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,222,213.
Example:
1 x 100,222,213 = 100,222,213
and
-1 x -100,222,213 = 100,222,213
Notice both answers equal 100,222,213
With that explanation out of the way, let's continue. Next, we take the number 100,222,213 and divide it by 2:
100,222,213 ÷ 2 = 50,111,106.5
If the quotient is a whole number, then 2 and 50,111,106.5 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 | 100,222,213 | |
| -1 | -100,222,213 |
Now, we try dividing 100,222,213 by 3:
100,222,213 ÷ 3 = 33,407,404.3333
If the quotient is a whole number, then 3 and 33,407,404.3333 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 | 100,222,213 | |
| -1 | -100,222,213 |
Let's try dividing by 4:
100,222,213 ÷ 4 = 25,055,553.25
If the quotient is a whole number, then 4 and 25,055,553.25 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 | 100,222,213 | |
| -1 | 100,222,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 137 | 959 | 1,781 | 8,039 | 12,467 | 56,273 | 104,507 | 731,549 | 1,101,343 | 7,709,401 | 14,317,459 | 100,222,213 |
| -1 | -7 | -13 | -91 | -137 | -959 | -1,781 | -8,039 | -12,467 | -56,273 | -104,507 | -731,549 | -1,101,343 | -7,709,401 | -14,317,459 | -100,222,213 |
Here are some more numbers to try:
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