A:
Positive:
1 x 77022197 x 110031741 x 18785947 x 163877287 x 26837329 x 23411571 x 134891927 x 3997
Negative:
-1 x -7702219-7 x -1100317-41 x -187859-47 x -163877-287 x -26837-329 x -23411-571 x -13489-1927 x -3997
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 7,702,219, 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 | 7,702,219 | |
| -1 | -7,702,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,702,219.
Example:
1 x 7,702,219 = 7,702,219
and
-1 x -7,702,219 = 7,702,219
Notice both answers equal 7,702,219
With that explanation out of the way, let's continue. Next, we take the number 7,702,219 and divide it by 2:
7,702,219 ÷ 2 = 3,851,109.5
If the quotient is a whole number, then 2 and 3,851,109.5 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 | 7,702,219 | |
| -1 | -7,702,219 |
Now, we try dividing 7,702,219 by 3:
7,702,219 ÷ 3 = 2,567,406.3333
If the quotient is a whole number, then 3 and 2,567,406.3333 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 | 7,702,219 | |
| -1 | -7,702,219 |
Let's try dividing by 4:
7,702,219 ÷ 4 = 1,925,554.75
If the quotient is a whole number, then 4 and 1,925,554.75 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 | 7,702,219 | |
| -1 | 7,702,219 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 47 | 287 | 329 | 571 | 1,927 | 3,997 | 13,489 | 23,411 | 26,837 | 163,877 | 187,859 | 1,100,317 | 7,702,219 |
| -1 | -7 | -41 | -47 | -287 | -329 | -571 | -1,927 | -3,997 | -13,489 | -23,411 | -26,837 | -163,877 | -187,859 | -1,100,317 | -7,702,219 |
Here are some more numbers to try:
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