A:
Positive:
1 x 2353534155 x 4707068311 x 2139576529 x 811563555 x 4279153145 x 1623127319 x 7377851595 x 147557
Negative:
-1 x -235353415-5 x -47070683-11 x -21395765-29 x -8115635-55 x -4279153-145 x -1623127-319 x -737785-1595 x -147557
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 235,353,415, 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 | 235,353,415 | |
| -1 | -235,353,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,353,415.
Example:
1 x 235,353,415 = 235,353,415
and
-1 x -235,353,415 = 235,353,415
Notice both answers equal 235,353,415
With that explanation out of the way, let's continue. Next, we take the number 235,353,415 and divide it by 2:
235,353,415 ÷ 2 = 117,676,707.5
If the quotient is a whole number, then 2 and 117,676,707.5 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 | 235,353,415 | |
| -1 | -235,353,415 |
Now, we try dividing 235,353,415 by 3:
235,353,415 ÷ 3 = 78,451,138.3333
If the quotient is a whole number, then 3 and 78,451,138.3333 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 | 235,353,415 | |
| -1 | -235,353,415 |
Let's try dividing by 4:
235,353,415 ÷ 4 = 58,838,353.75
If the quotient is a whole number, then 4 and 58,838,353.75 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 | 235,353,415 | |
| -1 | 235,353,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 29 | 55 | 145 | 319 | 1,595 | 147,557 | 737,785 | 1,623,127 | 4,279,153 | 8,115,635 | 21,395,765 | 47,070,683 | 235,353,415 |
| -1 | -5 | -11 | -29 | -55 | -145 | -319 | -1,595 | -147,557 | -737,785 | -1,623,127 | -4,279,153 | -8,115,635 | -21,395,765 | -47,070,683 | -235,353,415 |
Here are some more numbers to try:
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