A:
Positive:
1 x 1011212517 x 1444589311 x 919284143 x 235165749 x 206369977 x 1313263301 x 335951473 x 213787539 x 1876092107 x 479933311 x 305414363 x 23177
Negative:
-1 x -101121251-7 x -14445893-11 x -9192841-43 x -2351657-49 x -2063699-77 x -1313263-301 x -335951-473 x -213787-539 x -187609-2107 x -47993-3311 x -30541-4363 x -23177
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 101,121,251, 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 | 101,121,251 | |
| -1 | -101,121,251 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,121,251.
Example:
1 x 101,121,251 = 101,121,251
and
-1 x -101,121,251 = 101,121,251
Notice both answers equal 101,121,251
With that explanation out of the way, let's continue. Next, we take the number 101,121,251 and divide it by 2:
101,121,251 ÷ 2 = 50,560,625.5
If the quotient is a whole number, then 2 and 50,560,625.5 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 | 101,121,251 | |
| -1 | -101,121,251 |
Now, we try dividing 101,121,251 by 3:
101,121,251 ÷ 3 = 33,707,083.6667
If the quotient is a whole number, then 3 and 33,707,083.6667 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 | 101,121,251 | |
| -1 | -101,121,251 |
Let's try dividing by 4:
101,121,251 ÷ 4 = 25,280,312.75
If the quotient is a whole number, then 4 and 25,280,312.75 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 | 101,121,251 | |
| -1 | 101,121,251 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 43 | 49 | 77 | 301 | 473 | 539 | 2,107 | 3,311 | 4,363 | 23,177 | 30,541 | 47,993 | 187,609 | 213,787 | 335,951 | 1,313,263 | 2,063,699 | 2,351,657 | 9,192,841 | 14,445,893 | 101,121,251 |
| -1 | -7 | -11 | -43 | -49 | -77 | -301 | -473 | -539 | -2,107 | -3,311 | -4,363 | -23,177 | -30,541 | -47,993 | -187,609 | -213,787 | -335,951 | -1,313,263 | -2,063,699 | -2,351,657 | -9,192,841 | -14,445,893 | -101,121,251 |
Here are some more numbers to try:
Try the factor calculator