A:
Positive:
1 x 45035021317 x 2649118973 x 6169181101 x 44589131241 x 3628931717 x 2622893593 x 1253417373 x 61081
Negative:
-1 x -450350213-17 x -26491189-73 x -6169181-101 x -4458913-1241 x -362893-1717 x -262289-3593 x -125341-7373 x -61081
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 450,350,213, 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 | 450,350,213 | |
| -1 | -450,350,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 450,350,213.
Example:
1 x 450,350,213 = 450,350,213
and
-1 x -450,350,213 = 450,350,213
Notice both answers equal 450,350,213
With that explanation out of the way, let's continue. Next, we take the number 450,350,213 and divide it by 2:
450,350,213 ÷ 2 = 225,175,106.5
If the quotient is a whole number, then 2 and 225,175,106.5 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 | 450,350,213 | |
| -1 | -450,350,213 |
Now, we try dividing 450,350,213 by 3:
450,350,213 ÷ 3 = 150,116,737.6667
If the quotient is a whole number, then 3 and 150,116,737.6667 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 | 450,350,213 | |
| -1 | -450,350,213 |
Let's try dividing by 4:
450,350,213 ÷ 4 = 112,587,553.25
If the quotient is a whole number, then 4 and 112,587,553.25 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 | 450,350,213 | |
| -1 | 450,350,213 |
If you did it right, you will end up with this table:
| 1 | 17 | 73 | 101 | 1,241 | 1,717 | 3,593 | 7,373 | 61,081 | 125,341 | 262,289 | 362,893 | 4,458,913 | 6,169,181 | 26,491,189 | 450,350,213 |
| -1 | -17 | -73 | -101 | -1,241 | -1,717 | -3,593 | -7,373 | -61,081 | -125,341 | -262,289 | -362,893 | -4,458,913 | -6,169,181 | -26,491,189 | -450,350,213 |
Here are some more numbers to try:
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