A:
Positive:
1 x 343114317 x 490163311 x 311922177 x 445603191 x 1796411337 x 256632101 x 163312333 x 14707
Negative:
-1 x -34311431-7 x -4901633-11 x -3119221-77 x -445603-191 x -179641-1337 x -25663-2101 x -16331-2333 x -14707
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 34,311,431, 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 | 34,311,431 | |
| -1 | -34,311,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,311,431.
Example:
1 x 34,311,431 = 34,311,431
and
-1 x -34,311,431 = 34,311,431
Notice both answers equal 34,311,431
With that explanation out of the way, let's continue. Next, we take the number 34,311,431 and divide it by 2:
34,311,431 ÷ 2 = 17,155,715.5
If the quotient is a whole number, then 2 and 17,155,715.5 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 | 34,311,431 | |
| -1 | -34,311,431 |
Now, we try dividing 34,311,431 by 3:
34,311,431 ÷ 3 = 11,437,143.6667
If the quotient is a whole number, then 3 and 11,437,143.6667 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 | 34,311,431 | |
| -1 | -34,311,431 |
Let's try dividing by 4:
34,311,431 ÷ 4 = 8,577,857.75
If the quotient is a whole number, then 4 and 8,577,857.75 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 | 34,311,431 | |
| -1 | 34,311,431 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 191 | 1,337 | 2,101 | 2,333 | 14,707 | 16,331 | 25,663 | 179,641 | 445,603 | 3,119,221 | 4,901,633 | 34,311,431 |
| -1 | -7 | -11 | -77 | -191 | -1,337 | -2,101 | -2,333 | -14,707 | -16,331 | -25,663 | -179,641 | -445,603 | -3,119,221 | -4,901,633 | -34,311,431 |
Here are some more numbers to try:
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