A:
Positive:
1 x 21310030313 x 1639233143 x 495582147 x 4534049559 x 381217611 x 3487732021 x 1054438111 x 26273
Negative:
-1 x -213100303-13 x -16392331-43 x -4955821-47 x -4534049-559 x -381217-611 x -348773-2021 x -105443-8111 x -26273
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 213,100,303, 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 | 213,100,303 | |
| -1 | -213,100,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,100,303.
Example:
1 x 213,100,303 = 213,100,303
and
-1 x -213,100,303 = 213,100,303
Notice both answers equal 213,100,303
With that explanation out of the way, let's continue. Next, we take the number 213,100,303 and divide it by 2:
213,100,303 ÷ 2 = 106,550,151.5
If the quotient is a whole number, then 2 and 106,550,151.5 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 | 213,100,303 | |
| -1 | -213,100,303 |
Now, we try dividing 213,100,303 by 3:
213,100,303 ÷ 3 = 71,033,434.3333
If the quotient is a whole number, then 3 and 71,033,434.3333 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 | 213,100,303 | |
| -1 | -213,100,303 |
Let's try dividing by 4:
213,100,303 ÷ 4 = 53,275,075.75
If the quotient is a whole number, then 4 and 53,275,075.75 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 | 213,100,303 | |
| -1 | 213,100,303 |
If you did it right, you will end up with this table:
| 1 | 13 | 43 | 47 | 559 | 611 | 2,021 | 8,111 | 26,273 | 105,443 | 348,773 | 381,217 | 4,534,049 | 4,955,821 | 16,392,331 | 213,100,303 |
| -1 | -13 | -43 | -47 | -559 | -611 | -2,021 | -8,111 | -26,273 | -105,443 | -348,773 | -381,217 | -4,534,049 | -4,955,821 | -16,392,331 | -213,100,303 |
Here are some more numbers to try:
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