A:
Positive:
1 x 2351223077 x 3358890123 x 10222709161 x 1460387577 x 4074912531 x 928974039 x 5821313271 x 17717
Negative:
-1 x -235122307-7 x -33588901-23 x -10222709-161 x -1460387-577 x -407491-2531 x -92897-4039 x -58213-13271 x -17717
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 235,122,307, 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 | 235,122,307 | |
| -1 | -235,122,307 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,122,307.
Example:
1 x 235,122,307 = 235,122,307
and
-1 x -235,122,307 = 235,122,307
Notice both answers equal 235,122,307
With that explanation out of the way, let's continue. Next, we take the number 235,122,307 and divide it by 2:
235,122,307 ÷ 2 = 117,561,153.5
If the quotient is a whole number, then 2 and 117,561,153.5 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 | 235,122,307 | |
| -1 | -235,122,307 |
Now, we try dividing 235,122,307 by 3:
235,122,307 ÷ 3 = 78,374,102.3333
If the quotient is a whole number, then 3 and 78,374,102.3333 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 | 235,122,307 | |
| -1 | -235,122,307 |
Let's try dividing by 4:
235,122,307 ÷ 4 = 58,780,576.75
If the quotient is a whole number, then 4 and 58,780,576.75 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 | 235,122,307 | |
| -1 | 235,122,307 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 577 | 2,531 | 4,039 | 13,271 | 17,717 | 58,213 | 92,897 | 407,491 | 1,460,387 | 10,222,709 | 33,588,901 | 235,122,307 |
| -1 | -7 | -23 | -161 | -577 | -2,531 | -4,039 | -13,271 | -17,717 | -58,213 | -92,897 | -407,491 | -1,460,387 | -10,222,709 | -33,588,901 | -235,122,307 |
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