A:
Positive:
1 x 2131243037 x 3044632973 x 2919511193 x 1104271511 x 4170731351 x 1577532161 x 9862314089 x 15127
Negative:
-1 x -213124303-7 x -30446329-73 x -2919511-193 x -1104271-511 x -417073-1351 x -157753-2161 x -98623-14089 x -15127
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 213,124,303, 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 | 213,124,303 | |
| -1 | -213,124,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,124,303.
Example:
1 x 213,124,303 = 213,124,303
and
-1 x -213,124,303 = 213,124,303
Notice both answers equal 213,124,303
With that explanation out of the way, let's continue. Next, we take the number 213,124,303 and divide it by 2:
213,124,303 ÷ 2 = 106,562,151.5
If the quotient is a whole number, then 2 and 106,562,151.5 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 | 213,124,303 | |
| -1 | -213,124,303 |
Now, we try dividing 213,124,303 by 3:
213,124,303 ÷ 3 = 71,041,434.3333
If the quotient is a whole number, then 3 and 71,041,434.3333 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 | 213,124,303 | |
| -1 | -213,124,303 |
Let's try dividing by 4:
213,124,303 ÷ 4 = 53,281,075.75
If the quotient is a whole number, then 4 and 53,281,075.75 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 | 213,124,303 | |
| -1 | 213,124,303 |
If you did it right, you will end up with this table:
| 1 | 7 | 73 | 193 | 511 | 1,351 | 2,161 | 14,089 | 15,127 | 98,623 | 157,753 | 417,073 | 1,104,271 | 2,919,511 | 30,446,329 | 213,124,303 |
| -1 | -7 | -73 | -193 | -511 | -1,351 | -2,161 | -14,089 | -15,127 | -98,623 | -157,753 | -417,073 | -1,104,271 | -2,919,511 | -30,446,329 | -213,124,303 |
Here are some more numbers to try:
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