A:
Positive:
1 x 1012031155 x 2024062313 x 778485565 x 1556971169 x 598835229 x 441935523 x 193505845 x 1197671145 x 883872615 x 387012977 x 339956799 x 14885
Negative:
-1 x -101203115-5 x -20240623-13 x -7784855-65 x -1556971-169 x -598835-229 x -441935-523 x -193505-845 x -119767-1145 x -88387-2615 x -38701-2977 x -33995-6799 x -14885
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 101,203,115, 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 | 101,203,115 | |
| -1 | -101,203,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,203,115.
Example:
1 x 101,203,115 = 101,203,115
and
-1 x -101,203,115 = 101,203,115
Notice both answers equal 101,203,115
With that explanation out of the way, let's continue. Next, we take the number 101,203,115 and divide it by 2:
101,203,115 ÷ 2 = 50,601,557.5
If the quotient is a whole number, then 2 and 50,601,557.5 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 | 101,203,115 | |
| -1 | -101,203,115 |
Now, we try dividing 101,203,115 by 3:
101,203,115 ÷ 3 = 33,734,371.6667
If the quotient is a whole number, then 3 and 33,734,371.6667 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 | 101,203,115 | |
| -1 | -101,203,115 |
Let's try dividing by 4:
101,203,115 ÷ 4 = 25,300,778.75
If the quotient is a whole number, then 4 and 25,300,778.75 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 | 101,203,115 | |
| -1 | 101,203,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 169 | 229 | 523 | 845 | 1,145 | 2,615 | 2,977 | 6,799 | 14,885 | 33,995 | 38,701 | 88,387 | 119,767 | 193,505 | 441,935 | 598,835 | 1,556,971 | 7,784,855 | 20,240,623 | 101,203,115 |
| -1 | -5 | -13 | -65 | -169 | -229 | -523 | -845 | -1,145 | -2,615 | -2,977 | -6,799 | -14,885 | -33,995 | -38,701 | -88,387 | -119,767 | -193,505 | -441,935 | -598,835 | -1,556,971 | -7,784,855 | -20,240,623 | -101,203,115 |
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