A:
Positive:
1 x 131212137 x 187445967 x 195839101 x 129913277 x 47369469 x 27977707 x 185591939 x 6767
Negative:
-1 x -13121213-7 x -1874459-67 x -195839-101 x -129913-277 x -47369-469 x -27977-707 x -18559-1939 x -6767
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 13,121,213, 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 | 13,121,213 | |
| -1 | -13,121,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 13,121,213.
Example:
1 x 13,121,213 = 13,121,213
and
-1 x -13,121,213 = 13,121,213
Notice both answers equal 13,121,213
With that explanation out of the way, let's continue. Next, we take the number 13,121,213 and divide it by 2:
13,121,213 ÷ 2 = 6,560,606.5
If the quotient is a whole number, then 2 and 6,560,606.5 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 | 13,121,213 | |
| -1 | -13,121,213 |
Now, we try dividing 13,121,213 by 3:
13,121,213 ÷ 3 = 4,373,737.6667
If the quotient is a whole number, then 3 and 4,373,737.6667 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 | 13,121,213 | |
| -1 | -13,121,213 |
Let's try dividing by 4:
13,121,213 ÷ 4 = 3,280,303.25
If the quotient is a whole number, then 4 and 3,280,303.25 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 | 13,121,213 | |
| -1 | 13,121,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 101 | 277 | 469 | 707 | 1,939 | 6,767 | 18,559 | 27,977 | 47,369 | 129,913 | 195,839 | 1,874,459 | 13,121,213 |
| -1 | -7 | -67 | -101 | -277 | -469 | -707 | -1,939 | -6,767 | -18,559 | -27,977 | -47,369 | -129,913 | -195,839 | -1,874,459 | -13,121,213 |
Here are some more numbers to try:
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