A:
Positive:
1 x 100191917 x 143131313 x 77070723 x 43561791 x 110101161 x 62231299 x 335092093 x 4787
Negative:
-1 x -10019191-7 x -1431313-13 x -770707-23 x -435617-91 x -110101-161 x -62231-299 x -33509-2093 x -4787
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 10,019,191, 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 | 10,019,191 | |
| -1 | -10,019,191 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,019,191.
Example:
1 x 10,019,191 = 10,019,191
and
-1 x -10,019,191 = 10,019,191
Notice both answers equal 10,019,191
With that explanation out of the way, let's continue. Next, we take the number 10,019,191 and divide it by 2:
10,019,191 ÷ 2 = 5,009,595.5
If the quotient is a whole number, then 2 and 5,009,595.5 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 | 10,019,191 | |
| -1 | -10,019,191 |
Now, we try dividing 10,019,191 by 3:
10,019,191 ÷ 3 = 3,339,730.3333
If the quotient is a whole number, then 3 and 3,339,730.3333 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 | 10,019,191 | |
| -1 | -10,019,191 |
Let's try dividing by 4:
10,019,191 ÷ 4 = 2,504,797.75
If the quotient is a whole number, then 4 and 2,504,797.75 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 | 10,019,191 | |
| -1 | 10,019,191 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 4,787 | 33,509 | 62,231 | 110,101 | 435,617 | 770,707 | 1,431,313 | 10,019,191 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -4,787 | -33,509 | -62,231 | -110,101 | -435,617 | -770,707 | -1,431,313 | -10,019,191 |
Here are some more numbers to try:
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