A:
Positive:
1 x 72016917 x 102881323 x 31311741 x 175651161 x 44731287 x 25093943 x 76371091 x 6601
Negative:
-1 x -7201691-7 x -1028813-23 x -313117-41 x -175651-161 x -44731-287 x -25093-943 x -7637-1091 x -6601
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 7,201,691, 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 | 7,201,691 | |
| -1 | -7,201,691 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,201,691.
Example:
1 x 7,201,691 = 7,201,691
and
-1 x -7,201,691 = 7,201,691
Notice both answers equal 7,201,691
With that explanation out of the way, let's continue. Next, we take the number 7,201,691 and divide it by 2:
7,201,691 ÷ 2 = 3,600,845.5
If the quotient is a whole number, then 2 and 3,600,845.5 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 | 7,201,691 | |
| -1 | -7,201,691 |
Now, we try dividing 7,201,691 by 3:
7,201,691 ÷ 3 = 2,400,563.6667
If the quotient is a whole number, then 3 and 2,400,563.6667 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 | 7,201,691 | |
| -1 | -7,201,691 |
Let's try dividing by 4:
7,201,691 ÷ 4 = 1,800,422.75
If the quotient is a whole number, then 4 and 1,800,422.75 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 | 7,201,691 | |
| -1 | 7,201,691 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 41 | 161 | 287 | 943 | 1,091 | 6,601 | 7,637 | 25,093 | 44,731 | 175,651 | 313,117 | 1,028,813 | 7,201,691 |
| -1 | -7 | -23 | -41 | -161 | -287 | -943 | -1,091 | -6,601 | -7,637 | -25,093 | -44,731 | -175,651 | -313,117 | -1,028,813 | -7,201,691 |
Here are some more numbers to try:
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