A:
Positive:
1 x 103013055 x 20602617 x 147161535 x 29432389 x 115745445 x 23149623 x 165353115 x 3307
Negative:
-1 x -10301305-5 x -2060261-7 x -1471615-35 x -294323-89 x -115745-445 x -23149-623 x -16535-3115 x -3307
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 10,301,305, 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 | 10,301,305 | |
| -1 | -10,301,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,301,305.
Example:
1 x 10,301,305 = 10,301,305
and
-1 x -10,301,305 = 10,301,305
Notice both answers equal 10,301,305
With that explanation out of the way, let's continue. Next, we take the number 10,301,305 and divide it by 2:
10,301,305 ÷ 2 = 5,150,652.5
If the quotient is a whole number, then 2 and 5,150,652.5 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 | 10,301,305 | |
| -1 | -10,301,305 |
Now, we try dividing 10,301,305 by 3:
10,301,305 ÷ 3 = 3,433,768.3333
If the quotient is a whole number, then 3 and 3,433,768.3333 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 | 10,301,305 | |
| -1 | -10,301,305 |
Let's try dividing by 4:
10,301,305 ÷ 4 = 2,575,326.25
If the quotient is a whole number, then 4 and 2,575,326.25 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 | 10,301,305 | |
| -1 | 10,301,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 89 | 445 | 623 | 3,115 | 3,307 | 16,535 | 23,149 | 115,745 | 294,323 | 1,471,615 | 2,060,261 | 10,301,305 |
| -1 | -5 | -7 | -35 | -89 | -445 | -623 | -3,115 | -3,307 | -16,535 | -23,149 | -115,745 | -294,323 | -1,471,615 | -2,060,261 | -10,301,305 |
Here are some more numbers to try:
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