A:
Positive:
1 x 3521412137 x 95173341 x 858881139 x 253339167 x 2108631517 x 232135143 x 68475699 x 6179
Negative:
-1 x -35214121-37 x -951733-41 x -858881-139 x -253339-167 x -210863-1517 x -23213-5143 x -6847-5699 x -6179
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 35,214,121, 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 | 35,214,121 | |
| -1 | -35,214,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,214,121.
Example:
1 x 35,214,121 = 35,214,121
and
-1 x -35,214,121 = 35,214,121
Notice both answers equal 35,214,121
With that explanation out of the way, let's continue. Next, we take the number 35,214,121 and divide it by 2:
35,214,121 ÷ 2 = 17,607,060.5
If the quotient is a whole number, then 2 and 17,607,060.5 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 | 35,214,121 | |
| -1 | -35,214,121 |
Now, we try dividing 35,214,121 by 3:
35,214,121 ÷ 3 = 11,738,040.3333
If the quotient is a whole number, then 3 and 11,738,040.3333 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 | 35,214,121 | |
| -1 | -35,214,121 |
Let's try dividing by 4:
35,214,121 ÷ 4 = 8,803,530.25
If the quotient is a whole number, then 4 and 8,803,530.25 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 | 35,214,121 | |
| -1 | 35,214,121 |
If you did it right, you will end up with this table:
| 1 | 37 | 41 | 139 | 167 | 1,517 | 5,143 | 5,699 | 6,179 | 6,847 | 23,213 | 210,863 | 253,339 | 858,881 | 951,733 | 35,214,121 |
| -1 | -37 | -41 | -139 | -167 | -1,517 | -5,143 | -5,699 | -6,179 | -6,847 | -23,213 | -210,863 | -253,339 | -858,881 | -951,733 | -35,214,121 |
Here are some more numbers to try:
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