A:
Positive:
1 x 44101030931 x 1422613941 x 1075634959 x 74747511271 x 3469791829 x 2411212419 x 1823115881 x 74989
Negative:
-1 x -441010309-31 x -14226139-41 x -10756349-59 x -7474751-1271 x -346979-1829 x -241121-2419 x -182311-5881 x -74989
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 441,010,309, 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 | 441,010,309 | |
| -1 | -441,010,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 441,010,309.
Example:
1 x 441,010,309 = 441,010,309
and
-1 x -441,010,309 = 441,010,309
Notice both answers equal 441,010,309
With that explanation out of the way, let's continue. Next, we take the number 441,010,309 and divide it by 2:
441,010,309 ÷ 2 = 220,505,154.5
If the quotient is a whole number, then 2 and 220,505,154.5 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 | 441,010,309 | |
| -1 | -441,010,309 |
Now, we try dividing 441,010,309 by 3:
441,010,309 ÷ 3 = 147,003,436.3333
If the quotient is a whole number, then 3 and 147,003,436.3333 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 | 441,010,309 | |
| -1 | -441,010,309 |
Let's try dividing by 4:
441,010,309 ÷ 4 = 110,252,577.25
If the quotient is a whole number, then 4 and 110,252,577.25 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 | 441,010,309 | |
| -1 | 441,010,309 |
If you did it right, you will end up with this table:
| 1 | 31 | 41 | 59 | 1,271 | 1,829 | 2,419 | 5,881 | 74,989 | 182,311 | 241,121 | 346,979 | 7,474,751 | 10,756,349 | 14,226,139 | 441,010,309 |
| -1 | -31 | -41 | -59 | -1,271 | -1,829 | -2,419 | -5,881 | -74,989 | -182,311 | -241,121 | -346,979 | -7,474,751 | -10,756,349 | -14,226,139 | -441,010,309 |
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