A:
Positive:
1 x 2343143117 x 3347347311 x 2130130159 x 397142977 x 3043043413 x 567347649 x 3610394543 x 51577
Negative:
-1 x -234314311-7 x -33473473-11 x -21301301-59 x -3971429-77 x -3043043-413 x -567347-649 x -361039-4543 x -51577
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 234,314,311, 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 | 234,314,311 | |
| -1 | -234,314,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 234,314,311.
Example:
1 x 234,314,311 = 234,314,311
and
-1 x -234,314,311 = 234,314,311
Notice both answers equal 234,314,311
With that explanation out of the way, let's continue. Next, we take the number 234,314,311 and divide it by 2:
234,314,311 ÷ 2 = 117,157,155.5
If the quotient is a whole number, then 2 and 117,157,155.5 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 | 234,314,311 | |
| -1 | -234,314,311 |
Now, we try dividing 234,314,311 by 3:
234,314,311 ÷ 3 = 78,104,770.3333
If the quotient is a whole number, then 3 and 78,104,770.3333 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 | 234,314,311 | |
| -1 | -234,314,311 |
Let's try dividing by 4:
234,314,311 ÷ 4 = 58,578,577.75
If the quotient is a whole number, then 4 and 58,578,577.75 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 | 234,314,311 | |
| -1 | 234,314,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 59 | 77 | 413 | 649 | 4,543 | 51,577 | 361,039 | 567,347 | 3,043,043 | 3,971,429 | 21,301,301 | 33,473,473 | 234,314,311 |
| -1 | -7 | -11 | -59 | -77 | -413 | -649 | -4,543 | -51,577 | -361,039 | -567,347 | -3,043,043 | -3,971,429 | -21,301,301 | -33,473,473 | -234,314,311 |
Here are some more numbers to try:
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