A:
Positive:
1 x 726661729 x 25057331 x 23440759 x 123163137 x 53041899 x 80831711 x 42471829 x 3973
Negative:
-1 x -7266617-29 x -250573-31 x -234407-59 x -123163-137 x -53041-899 x -8083-1711 x -4247-1829 x -3973
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 7,266,617, 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 | 7,266,617 | |
| -1 | -7,266,617 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,266,617.
Example:
1 x 7,266,617 = 7,266,617
and
-1 x -7,266,617 = 7,266,617
Notice both answers equal 7,266,617
With that explanation out of the way, let's continue. Next, we take the number 7,266,617 and divide it by 2:
7,266,617 ÷ 2 = 3,633,308.5
If the quotient is a whole number, then 2 and 3,633,308.5 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 | 7,266,617 | |
| -1 | -7,266,617 |
Now, we try dividing 7,266,617 by 3:
7,266,617 ÷ 3 = 2,422,205.6667
If the quotient is a whole number, then 3 and 2,422,205.6667 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 | 7,266,617 | |
| -1 | -7,266,617 |
Let's try dividing by 4:
7,266,617 ÷ 4 = 1,816,654.25
If the quotient is a whole number, then 4 and 1,816,654.25 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 | 7,266,617 | |
| -1 | 7,266,617 |
If you did it right, you will end up with this table:
| 1 | 29 | 31 | 59 | 137 | 899 | 1,711 | 1,829 | 3,973 | 4,247 | 8,083 | 53,041 | 123,163 | 234,407 | 250,573 | 7,266,617 |
| -1 | -29 | -31 | -59 | -137 | -899 | -1,711 | -1,829 | -3,973 | -4,247 | -8,083 | -53,041 | -123,163 | -234,407 | -250,573 | -7,266,617 |
Here are some more numbers to try:
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