A:
Positive:
1 x 20013132113 x 1539471771 x 2818751169 x 1184209923 x 2168271283 x 1559872197 x 9109311999 x 16679
Negative:
-1 x -200131321-13 x -15394717-71 x -2818751-169 x -1184209-923 x -216827-1283 x -155987-2197 x -91093-11999 x -16679
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 200,131,321, 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 | 200,131,321 | |
| -1 | -200,131,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 200,131,321.
Example:
1 x 200,131,321 = 200,131,321
and
-1 x -200,131,321 = 200,131,321
Notice both answers equal 200,131,321
With that explanation out of the way, let's continue. Next, we take the number 200,131,321 and divide it by 2:
200,131,321 ÷ 2 = 100,065,660.5
If the quotient is a whole number, then 2 and 100,065,660.5 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 | 200,131,321 | |
| -1 | -200,131,321 |
Now, we try dividing 200,131,321 by 3:
200,131,321 ÷ 3 = 66,710,440.3333
If the quotient is a whole number, then 3 and 66,710,440.3333 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 | 200,131,321 | |
| -1 | -200,131,321 |
Let's try dividing by 4:
200,131,321 ÷ 4 = 50,032,830.25
If the quotient is a whole number, then 4 and 50,032,830.25 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 | 200,131,321 | |
| -1 | 200,131,321 |
If you did it right, you will end up with this table:
| 1 | 13 | 71 | 169 | 923 | 1,283 | 2,197 | 11,999 | 16,679 | 91,093 | 155,987 | 216,827 | 1,184,209 | 2,818,751 | 15,394,717 | 200,131,321 |
| -1 | -13 | -71 | -169 | -923 | -1,283 | -2,197 | -11,999 | -16,679 | -91,093 | -155,987 | -216,827 | -1,184,209 | -2,818,751 | -15,394,717 | -200,131,321 |
Here are some more numbers to try:
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