A:
Positive:
1 x 104102055 x 208204113 x 80078517 x 61236565 x 16015785 x 122473221 x 471051105 x 9421
Negative:
-1 x -10410205-5 x -2082041-13 x -800785-17 x -612365-65 x -160157-85 x -122473-221 x -47105-1105 x -9421
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 10,410,205, 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 | 10,410,205 | |
| -1 | -10,410,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,410,205.
Example:
1 x 10,410,205 = 10,410,205
and
-1 x -10,410,205 = 10,410,205
Notice both answers equal 10,410,205
With that explanation out of the way, let's continue. Next, we take the number 10,410,205 and divide it by 2:
10,410,205 ÷ 2 = 5,205,102.5
If the quotient is a whole number, then 2 and 5,205,102.5 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 | 10,410,205 | |
| -1 | -10,410,205 |
Now, we try dividing 10,410,205 by 3:
10,410,205 ÷ 3 = 3,470,068.3333
If the quotient is a whole number, then 3 and 3,470,068.3333 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 | 10,410,205 | |
| -1 | -10,410,205 |
Let's try dividing by 4:
10,410,205 ÷ 4 = 2,602,551.25
If the quotient is a whole number, then 4 and 2,602,551.25 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 | 10,410,205 | |
| -1 | 10,410,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 9,421 | 47,105 | 122,473 | 160,157 | 612,365 | 800,785 | 2,082,041 | 10,410,205 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -9,421 | -47,105 | -122,473 | -160,157 | -612,365 | -800,785 | -2,082,041 | -10,410,205 |
Here are some more numbers to try:
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