A:
Positive:
1 x 3454023111 x 314002131 x 1114201199 x 173569341 x 101291509 x 678592189 x 157795599 x 6169
Negative:
-1 x -34540231-11 x -3140021-31 x -1114201-199 x -173569-341 x -101291-509 x -67859-2189 x -15779-5599 x -6169
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 34,540,231, 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 | 34,540,231 | |
| -1 | -34,540,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,540,231.
Example:
1 x 34,540,231 = 34,540,231
and
-1 x -34,540,231 = 34,540,231
Notice both answers equal 34,540,231
With that explanation out of the way, let's continue. Next, we take the number 34,540,231 and divide it by 2:
34,540,231 ÷ 2 = 17,270,115.5
If the quotient is a whole number, then 2 and 17,270,115.5 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 | 34,540,231 | |
| -1 | -34,540,231 |
Now, we try dividing 34,540,231 by 3:
34,540,231 ÷ 3 = 11,513,410.3333
If the quotient is a whole number, then 3 and 11,513,410.3333 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 | 34,540,231 | |
| -1 | -34,540,231 |
Let's try dividing by 4:
34,540,231 ÷ 4 = 8,635,057.75
If the quotient is a whole number, then 4 and 8,635,057.75 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 | 34,540,231 | |
| -1 | 34,540,231 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 199 | 341 | 509 | 2,189 | 5,599 | 6,169 | 15,779 | 67,859 | 101,291 | 173,569 | 1,114,201 | 3,140,021 | 34,540,231 |
| -1 | -11 | -31 | -199 | -341 | -509 | -2,189 | -5,599 | -6,169 | -15,779 | -67,859 | -101,291 | -173,569 | -1,114,201 | -3,140,021 | -34,540,231 |
Here are some more numbers to try:
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