A:
Positive:
1 x 1062243355 x 212448677 x 1517490535 x 3034981149 x 712915745 x 1425831043 x 1018455215 x 20369
Negative:
-1 x -106224335-5 x -21244867-7 x -15174905-35 x -3034981-149 x -712915-745 x -142583-1043 x -101845-5215 x -20369
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 106,224,335, 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 | 106,224,335 | |
| -1 | -106,224,335 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,224,335.
Example:
1 x 106,224,335 = 106,224,335
and
-1 x -106,224,335 = 106,224,335
Notice both answers equal 106,224,335
With that explanation out of the way, let's continue. Next, we take the number 106,224,335 and divide it by 2:
106,224,335 ÷ 2 = 53,112,167.5
If the quotient is a whole number, then 2 and 53,112,167.5 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 | 106,224,335 | |
| -1 | -106,224,335 |
Now, we try dividing 106,224,335 by 3:
106,224,335 ÷ 3 = 35,408,111.6667
If the quotient is a whole number, then 3 and 35,408,111.6667 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 | 106,224,335 | |
| -1 | -106,224,335 |
Let's try dividing by 4:
106,224,335 ÷ 4 = 26,556,083.75
If the quotient is a whole number, then 4 and 26,556,083.75 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 | 106,224,335 | |
| -1 | 106,224,335 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 149 | 745 | 1,043 | 5,215 | 20,369 | 101,845 | 142,583 | 712,915 | 3,034,981 | 15,174,905 | 21,244,867 | 106,224,335 |
| -1 | -5 | -7 | -35 | -149 | -745 | -1,043 | -5,215 | -20,369 | -101,845 | -142,583 | -712,915 | -3,034,981 | -15,174,905 | -21,244,867 | -106,224,335 |
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