A:
Positive:
1 x 101212155 x 202424313 x 77855547 x 21534565 x 155711235 x 43069611 x 165653055 x 3313
Negative:
-1 x -10121215-5 x -2024243-13 x -778555-47 x -215345-65 x -155711-235 x -43069-611 x -16565-3055 x -3313
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 10,121,215, 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 | 10,121,215 | |
| -1 | -10,121,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,121,215.
Example:
1 x 10,121,215 = 10,121,215
and
-1 x -10,121,215 = 10,121,215
Notice both answers equal 10,121,215
With that explanation out of the way, let's continue. Next, we take the number 10,121,215 and divide it by 2:
10,121,215 ÷ 2 = 5,060,607.5
If the quotient is a whole number, then 2 and 5,060,607.5 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 | 10,121,215 | |
| -1 | -10,121,215 |
Now, we try dividing 10,121,215 by 3:
10,121,215 ÷ 3 = 3,373,738.3333
If the quotient is a whole number, then 3 and 3,373,738.3333 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 | 10,121,215 | |
| -1 | -10,121,215 |
Let's try dividing by 4:
10,121,215 ÷ 4 = 2,530,303.75
If the quotient is a whole number, then 4 and 2,530,303.75 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 | 10,121,215 | |
| -1 | 10,121,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 47 | 65 | 235 | 611 | 3,055 | 3,313 | 16,565 | 43,069 | 155,711 | 215,345 | 778,555 | 2,024,243 | 10,121,215 |
| -1 | -5 | -13 | -47 | -65 | -235 | -611 | -3,055 | -3,313 | -16,565 | -43,069 | -155,711 | -215,345 | -778,555 | -2,024,243 | -10,121,215 |
Here are some more numbers to try:
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