A:
Positive:
1 x 700700917 x 41217729 x 24162161 x 114869233 x 30073493 x 142131037 x 67571769 x 3961
Negative:
-1 x -7007009-17 x -412177-29 x -241621-61 x -114869-233 x -30073-493 x -14213-1037 x -6757-1769 x -3961
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 7,007,009, 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 | 7,007,009 | |
| -1 | -7,007,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,007,009.
Example:
1 x 7,007,009 = 7,007,009
and
-1 x -7,007,009 = 7,007,009
Notice both answers equal 7,007,009
With that explanation out of the way, let's continue. Next, we take the number 7,007,009 and divide it by 2:
7,007,009 ÷ 2 = 3,503,504.5
If the quotient is a whole number, then 2 and 3,503,504.5 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 | 7,007,009 | |
| -1 | -7,007,009 |
Now, we try dividing 7,007,009 by 3:
7,007,009 ÷ 3 = 2,335,669.6667
If the quotient is a whole number, then 3 and 2,335,669.6667 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 | 7,007,009 | |
| -1 | -7,007,009 |
Let's try dividing by 4:
7,007,009 ÷ 4 = 1,751,752.25
If the quotient is a whole number, then 4 and 1,751,752.25 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 | 7,007,009 | |
| -1 | 7,007,009 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 61 | 233 | 493 | 1,037 | 1,769 | 3,961 | 6,757 | 14,213 | 30,073 | 114,869 | 241,621 | 412,177 | 7,007,009 |
| -1 | -17 | -29 | -61 | -233 | -493 | -1,037 | -1,769 | -3,961 | -6,757 | -14,213 | -30,073 | -114,869 | -241,621 | -412,177 | -7,007,009 |
Here are some more numbers to try:
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