A:
Positive:
1 x 300524913 x 23117319 x 15817123 x 130663247 x 12167299 x 10051437 x 6877529 x 5681
Negative:
-1 x -3005249-13 x -231173-19 x -158171-23 x -130663-247 x -12167-299 x -10051-437 x -6877-529 x -5681
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 3,005,249, 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 | 3,005,249 | |
| -1 | -3,005,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,005,249.
Example:
1 x 3,005,249 = 3,005,249
and
-1 x -3,005,249 = 3,005,249
Notice both answers equal 3,005,249
With that explanation out of the way, let's continue. Next, we take the number 3,005,249 and divide it by 2:
3,005,249 ÷ 2 = 1,502,624.5
If the quotient is a whole number, then 2 and 1,502,624.5 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 | 3,005,249 | |
| -1 | -3,005,249 |
Now, we try dividing 3,005,249 by 3:
3,005,249 ÷ 3 = 1,001,749.6667
If the quotient is a whole number, then 3 and 1,001,749.6667 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 | 3,005,249 | |
| -1 | -3,005,249 |
Let's try dividing by 4:
3,005,249 ÷ 4 = 751,312.25
If the quotient is a whole number, then 4 and 751,312.25 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 | 3,005,249 | |
| -1 | 3,005,249 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 23 | 247 | 299 | 437 | 529 | 5,681 | 6,877 | 10,051 | 12,167 | 130,663 | 158,171 | 231,173 | 3,005,249 |
| -1 | -13 | -19 | -23 | -247 | -299 | -437 | -529 | -5,681 | -6,877 | -10,051 | -12,167 | -130,663 | -158,171 | -231,173 | -3,005,249 |
Here are some more numbers to try:
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