A:
Positive:
1 x 4200312355 x 8400624713 x 3231009565 x 64620191933 x 2172953343 x 1256459665 x 4345916715 x 25129
Negative:
-1 x -420031235-5 x -84006247-13 x -32310095-65 x -6462019-1933 x -217295-3343 x -125645-9665 x -43459-16715 x -25129
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 420,031,235, 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 | 420,031,235 | |
| -1 | -420,031,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,031,235.
Example:
1 x 420,031,235 = 420,031,235
and
-1 x -420,031,235 = 420,031,235
Notice both answers equal 420,031,235
With that explanation out of the way, let's continue. Next, we take the number 420,031,235 and divide it by 2:
420,031,235 ÷ 2 = 210,015,617.5
If the quotient is a whole number, then 2 and 210,015,617.5 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 | 420,031,235 | |
| -1 | -420,031,235 |
Now, we try dividing 420,031,235 by 3:
420,031,235 ÷ 3 = 140,010,411.6667
If the quotient is a whole number, then 3 and 140,010,411.6667 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 | 420,031,235 | |
| -1 | -420,031,235 |
Let's try dividing by 4:
420,031,235 ÷ 4 = 105,007,808.75
If the quotient is a whole number, then 4 and 105,007,808.75 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 | 420,031,235 | |
| -1 | 420,031,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 1,933 | 3,343 | 9,665 | 16,715 | 25,129 | 43,459 | 125,645 | 217,295 | 6,462,019 | 32,310,095 | 84,006,247 | 420,031,235 |
| -1 | -5 | -13 | -65 | -1,933 | -3,343 | -9,665 | -16,715 | -25,129 | -43,459 | -125,645 | -217,295 | -6,462,019 | -32,310,095 | -84,006,247 | -420,031,235 |
Here are some more numbers to try:
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