A:
Positive:
1 x 353523177 x 505033111 x 321384713 x 271940977 x 45912191 x 388487143 x 2472191001 x 35317
Negative:
-1 x -35352317-7 x -5050331-11 x -3213847-13 x -2719409-77 x -459121-91 x -388487-143 x -247219-1001 x -35317
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 35,352,317, 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 | 35,352,317 | |
| -1 | -35,352,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,352,317.
Example:
1 x 35,352,317 = 35,352,317
and
-1 x -35,352,317 = 35,352,317
Notice both answers equal 35,352,317
With that explanation out of the way, let's continue. Next, we take the number 35,352,317 and divide it by 2:
35,352,317 ÷ 2 = 17,676,158.5
If the quotient is a whole number, then 2 and 17,676,158.5 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 | 35,352,317 | |
| -1 | -35,352,317 |
Now, we try dividing 35,352,317 by 3:
35,352,317 ÷ 3 = 11,784,105.6667
If the quotient is a whole number, then 3 and 11,784,105.6667 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 | 35,352,317 | |
| -1 | -35,352,317 |
Let's try dividing by 4:
35,352,317 ÷ 4 = 8,838,079.25
If the quotient is a whole number, then 4 and 8,838,079.25 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 | 35,352,317 | |
| -1 | 35,352,317 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 35,317 | 247,219 | 388,487 | 459,121 | 2,719,409 | 3,213,847 | 5,050,331 | 35,352,317 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -35,317 | -247,219 | -388,487 | -459,121 | -2,719,409 | -3,213,847 | -5,050,331 | -35,352,317 |
Here are some more numbers to try:
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