A:
Positive:
1 x 19749737 x 28213911 x 17954313 x 15192177 x 2564991 x 21703143 x 138111001 x 1973
Negative:
-1 x -1974973-7 x -282139-11 x -179543-13 x -151921-77 x -25649-91 x -21703-143 x -13811-1001 x -1973
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 1,974,973, 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 | 1,974,973 | |
| -1 | -1,974,973 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,974,973.
Example:
1 x 1,974,973 = 1,974,973
and
-1 x -1,974,973 = 1,974,973
Notice both answers equal 1,974,973
With that explanation out of the way, let's continue. Next, we take the number 1,974,973 and divide it by 2:
1,974,973 ÷ 2 = 987,486.5
If the quotient is a whole number, then 2 and 987,486.5 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 | 1,974,973 | |
| -1 | -1,974,973 |
Now, we try dividing 1,974,973 by 3:
1,974,973 ÷ 3 = 658,324.3333
If the quotient is a whole number, then 3 and 658,324.3333 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 | 1,974,973 | |
| -1 | -1,974,973 |
Let's try dividing by 4:
1,974,973 ÷ 4 = 493,743.25
If the quotient is a whole number, then 4 and 493,743.25 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 | 1,974,973 | |
| -1 | 1,974,973 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 1,973 | 13,811 | 21,703 | 25,649 | 151,921 | 179,543 | 282,139 | 1,974,973 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -1,973 | -13,811 | -21,703 | -25,649 | -151,921 | -179,543 | -282,139 | -1,974,973 |
Here are some more numbers to try:
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