A:
Positive:
1 x 1774997337 x 47972947 x 37765959 x 300847173 x 1026011739 x 102072183 x 81312773 x 6401
Negative:
-1 x -17749973-37 x -479729-47 x -377659-59 x -300847-173 x -102601-1739 x -10207-2183 x -8131-2773 x -6401
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 17,749,973, 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 | 17,749,973 | |
| -1 | -17,749,973 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,749,973.
Example:
1 x 17,749,973 = 17,749,973
and
-1 x -17,749,973 = 17,749,973
Notice both answers equal 17,749,973
With that explanation out of the way, let's continue. Next, we take the number 17,749,973 and divide it by 2:
17,749,973 ÷ 2 = 8,874,986.5
If the quotient is a whole number, then 2 and 8,874,986.5 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 | 17,749,973 | |
| -1 | -17,749,973 |
Now, we try dividing 17,749,973 by 3:
17,749,973 ÷ 3 = 5,916,657.6667
If the quotient is a whole number, then 3 and 5,916,657.6667 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 | 17,749,973 | |
| -1 | -17,749,973 |
Let's try dividing by 4:
17,749,973 ÷ 4 = 4,437,493.25
If the quotient is a whole number, then 4 and 4,437,493.25 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 | 17,749,973 | |
| -1 | 17,749,973 |
If you did it right, you will end up with this table:
| 1 | 37 | 47 | 59 | 173 | 1,739 | 2,183 | 2,773 | 6,401 | 8,131 | 10,207 | 102,601 | 300,847 | 377,659 | 479,729 | 17,749,973 |
| -1 | -37 | -47 | -59 | -173 | -1,739 | -2,183 | -2,773 | -6,401 | -8,131 | -10,207 | -102,601 | -300,847 | -377,659 | -479,729 | -17,749,973 |
Here are some more numbers to try:
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