A:
Positive:
1 x 1021211331 x 32942343 x 23749147 x 217279163 x 626511333 x 76611457 x 70092021 x 5053
Negative:
-1 x -10212113-31 x -329423-43 x -237491-47 x -217279-163 x -62651-1333 x -7661-1457 x -7009-2021 x -5053
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 10,212,113, 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 | 10,212,113 | |
| -1 | -10,212,113 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,212,113.
Example:
1 x 10,212,113 = 10,212,113
and
-1 x -10,212,113 = 10,212,113
Notice both answers equal 10,212,113
With that explanation out of the way, let's continue. Next, we take the number 10,212,113 and divide it by 2:
10,212,113 ÷ 2 = 5,106,056.5
If the quotient is a whole number, then 2 and 5,106,056.5 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 | 10,212,113 | |
| -1 | -10,212,113 |
Now, we try dividing 10,212,113 by 3:
10,212,113 ÷ 3 = 3,404,037.6667
If the quotient is a whole number, then 3 and 3,404,037.6667 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 | 10,212,113 | |
| -1 | -10,212,113 |
Let's try dividing by 4:
10,212,113 ÷ 4 = 2,553,028.25
If the quotient is a whole number, then 4 and 2,553,028.25 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 | 10,212,113 | |
| -1 | 10,212,113 |
If you did it right, you will end up with this table:
| 1 | 31 | 43 | 47 | 163 | 1,333 | 1,457 | 2,021 | 5,053 | 7,009 | 7,661 | 62,651 | 217,279 | 237,491 | 329,423 | 10,212,113 |
| -1 | -31 | -43 | -47 | -163 | -1,333 | -1,457 | -2,021 | -5,053 | -7,009 | -7,661 | -62,651 | -217,279 | -237,491 | -329,423 | -10,212,113 |
Here are some more numbers to try:
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