A:
Positive:
1 x 13050055 x 26100113 x 10038517 x 7676565 x 2007785 x 15353221 x 59051105 x 1181
Negative:
-1 x -1305005-5 x -261001-13 x -100385-17 x -76765-65 x -20077-85 x -15353-221 x -5905-1105 x -1181
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 1,305,005, 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 | 1,305,005 | |
| -1 | -1,305,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,305,005.
Example:
1 x 1,305,005 = 1,305,005
and
-1 x -1,305,005 = 1,305,005
Notice both answers equal 1,305,005
With that explanation out of the way, let's continue. Next, we take the number 1,305,005 and divide it by 2:
1,305,005 ÷ 2 = 652,502.5
If the quotient is a whole number, then 2 and 652,502.5 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 | 1,305,005 | |
| -1 | -1,305,005 |
Now, we try dividing 1,305,005 by 3:
1,305,005 ÷ 3 = 435,001.6667
If the quotient is a whole number, then 3 and 435,001.6667 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 | 1,305,005 | |
| -1 | -1,305,005 |
Let's try dividing by 4:
1,305,005 ÷ 4 = 326,251.25
If the quotient is a whole number, then 4 and 326,251.25 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 | 1,305,005 | |
| -1 | 1,305,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 1,181 | 5,905 | 15,353 | 20,077 | 76,765 | 100,385 | 261,001 | 1,305,005 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -1,181 | -5,905 | -15,353 | -20,077 | -76,765 | -100,385 | -261,001 | -1,305,005 |
Here are some more numbers to try:
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