A:
Positive:
1 x 1714121917 x 100830743 x 398633131 x 130849179 x 95761731 x 234492227 x 76973043 x 5633
Negative:
-1 x -17141219-17 x -1008307-43 x -398633-131 x -130849-179 x -95761-731 x -23449-2227 x -7697-3043 x -5633
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 17,141,219, 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 | 17,141,219 | |
| -1 | -17,141,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,141,219.
Example:
1 x 17,141,219 = 17,141,219
and
-1 x -17,141,219 = 17,141,219
Notice both answers equal 17,141,219
With that explanation out of the way, let's continue. Next, we take the number 17,141,219 and divide it by 2:
17,141,219 ÷ 2 = 8,570,609.5
If the quotient is a whole number, then 2 and 8,570,609.5 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 | 17,141,219 | |
| -1 | -17,141,219 |
Now, we try dividing 17,141,219 by 3:
17,141,219 ÷ 3 = 5,713,739.6667
If the quotient is a whole number, then 3 and 5,713,739.6667 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 | 17,141,219 | |
| -1 | -17,141,219 |
Let's try dividing by 4:
17,141,219 ÷ 4 = 4,285,304.75
If the quotient is a whole number, then 4 and 4,285,304.75 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 | 17,141,219 | |
| -1 | 17,141,219 |
If you did it right, you will end up with this table:
| 1 | 17 | 43 | 131 | 179 | 731 | 2,227 | 3,043 | 5,633 | 7,697 | 23,449 | 95,761 | 130,849 | 398,633 | 1,008,307 | 17,141,219 |
| -1 | -17 | -43 | -131 | -179 | -731 | -2,227 | -3,043 | -5,633 | -7,697 | -23,449 | -95,761 | -130,849 | -398,633 | -1,008,307 | -17,141,219 |
Here are some more numbers to try:
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