A:
Positive:
1 x 101223437 x 144604911 x 92021347 x 21536977 x 131459329 x 30767517 x 195792797 x 3619
Negative:
-1 x -10122343-7 x -1446049-11 x -920213-47 x -215369-77 x -131459-329 x -30767-517 x -19579-2797 x -3619
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 10,122,343, 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 | 10,122,343 | |
| -1 | -10,122,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,122,343.
Example:
1 x 10,122,343 = 10,122,343
and
-1 x -10,122,343 = 10,122,343
Notice both answers equal 10,122,343
With that explanation out of the way, let's continue. Next, we take the number 10,122,343 and divide it by 2:
10,122,343 ÷ 2 = 5,061,171.5
If the quotient is a whole number, then 2 and 5,061,171.5 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 | 10,122,343 | |
| -1 | -10,122,343 |
Now, we try dividing 10,122,343 by 3:
10,122,343 ÷ 3 = 3,374,114.3333
If the quotient is a whole number, then 3 and 3,374,114.3333 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 | 10,122,343 | |
| -1 | -10,122,343 |
Let's try dividing by 4:
10,122,343 ÷ 4 = 2,530,585.75
If the quotient is a whole number, then 4 and 2,530,585.75 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 | 10,122,343 | |
| -1 | 10,122,343 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 47 | 77 | 329 | 517 | 2,797 | 3,619 | 19,579 | 30,767 | 131,459 | 215,369 | 920,213 | 1,446,049 | 10,122,343 |
| -1 | -7 | -11 | -47 | -77 | -329 | -517 | -2,797 | -3,619 | -19,579 | -30,767 | -131,459 | -215,369 | -920,213 | -1,446,049 | -10,122,343 |
Here are some more numbers to try:
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