A:
Positive:
1 x 100302055 x 200604131 x 323555155 x 64711163 x 61535397 x 25265815 x 123071985 x 5053
Negative:
-1 x -10030205-5 x -2006041-31 x -323555-155 x -64711-163 x -61535-397 x -25265-815 x -12307-1985 x -5053
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 10,030,205, 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 | 10,030,205 | |
| -1 | -10,030,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,030,205.
Example:
1 x 10,030,205 = 10,030,205
and
-1 x -10,030,205 = 10,030,205
Notice both answers equal 10,030,205
With that explanation out of the way, let's continue. Next, we take the number 10,030,205 and divide it by 2:
10,030,205 ÷ 2 = 5,015,102.5
If the quotient is a whole number, then 2 and 5,015,102.5 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 | 10,030,205 | |
| -1 | -10,030,205 |
Now, we try dividing 10,030,205 by 3:
10,030,205 ÷ 3 = 3,343,401.6667
If the quotient is a whole number, then 3 and 3,343,401.6667 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 | 10,030,205 | |
| -1 | -10,030,205 |
Let's try dividing by 4:
10,030,205 ÷ 4 = 2,507,551.25
If the quotient is a whole number, then 4 and 2,507,551.25 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 | 10,030,205 | |
| -1 | 10,030,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 163 | 397 | 815 | 1,985 | 5,053 | 12,307 | 25,265 | 61,535 | 64,711 | 323,555 | 2,006,041 | 10,030,205 |
| -1 | -5 | -31 | -155 | -163 | -397 | -815 | -1,985 | -5,053 | -12,307 | -25,265 | -61,535 | -64,711 | -323,555 | -2,006,041 | -10,030,205 |
Here are some more numbers to try:
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