A:
Positive:
1 x 10130021929 x 349311131 x 3267749281 x 360499401 x 252619899 x 1126818149 x 124318711 x 11629
Negative:
-1 x -101300219-29 x -3493111-31 x -3267749-281 x -360499-401 x -252619-899 x -112681-8149 x -12431-8711 x -11629
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 101,300,219, 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 | 101,300,219 | |
| -1 | -101,300,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,300,219.
Example:
1 x 101,300,219 = 101,300,219
and
-1 x -101,300,219 = 101,300,219
Notice both answers equal 101,300,219
With that explanation out of the way, let's continue. Next, we take the number 101,300,219 and divide it by 2:
101,300,219 ÷ 2 = 50,650,109.5
If the quotient is a whole number, then 2 and 50,650,109.5 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 | 101,300,219 | |
| -1 | -101,300,219 |
Now, we try dividing 101,300,219 by 3:
101,300,219 ÷ 3 = 33,766,739.6667
If the quotient is a whole number, then 3 and 33,766,739.6667 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 | 101,300,219 | |
| -1 | -101,300,219 |
Let's try dividing by 4:
101,300,219 ÷ 4 = 25,325,054.75
If the quotient is a whole number, then 4 and 25,325,054.75 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 | 101,300,219 | |
| -1 | 101,300,219 |
If you did it right, you will end up with this table:
| 1 | 29 | 31 | 281 | 401 | 899 | 8,149 | 8,711 | 11,629 | 12,431 | 112,681 | 252,619 | 360,499 | 3,267,749 | 3,493,111 | 101,300,219 |
| -1 | -29 | -31 | -281 | -401 | -899 | -8,149 | -8,711 | -11,629 | -12,431 | -112,681 | -252,619 | -360,499 | -3,267,749 | -3,493,111 | -101,300,219 |
Here are some more numbers to try:
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