A:
Positive:
1 x 20220100331 x 652261347 x 4302149107 x 18897291297 x 1558991457 x 1387793317 x 609595029 x 40207
Negative:
-1 x -202201003-31 x -6522613-47 x -4302149-107 x -1889729-1297 x -155899-1457 x -138779-3317 x -60959-5029 x -40207
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 202,201,003, 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 | 202,201,003 | |
| -1 | -202,201,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 202,201,003.
Example:
1 x 202,201,003 = 202,201,003
and
-1 x -202,201,003 = 202,201,003
Notice both answers equal 202,201,003
With that explanation out of the way, let's continue. Next, we take the number 202,201,003 and divide it by 2:
202,201,003 ÷ 2 = 101,100,501.5
If the quotient is a whole number, then 2 and 101,100,501.5 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 | 202,201,003 | |
| -1 | -202,201,003 |
Now, we try dividing 202,201,003 by 3:
202,201,003 ÷ 3 = 67,400,334.3333
If the quotient is a whole number, then 3 and 67,400,334.3333 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 | 202,201,003 | |
| -1 | -202,201,003 |
Let's try dividing by 4:
202,201,003 ÷ 4 = 50,550,250.75
If the quotient is a whole number, then 4 and 50,550,250.75 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 | 202,201,003 | |
| -1 | 202,201,003 |
If you did it right, you will end up with this table:
| 1 | 31 | 47 | 107 | 1,297 | 1,457 | 3,317 | 5,029 | 40,207 | 60,959 | 138,779 | 155,899 | 1,889,729 | 4,302,149 | 6,522,613 | 202,201,003 |
| -1 | -31 | -47 | -107 | -1,297 | -1,457 | -3,317 | -5,029 | -40,207 | -60,959 | -138,779 | -155,899 | -1,889,729 | -4,302,149 | -6,522,613 | -202,201,003 |
Here are some more numbers to try:
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