A:
Positive:
1 x 4175717 x 5965311 x 3796117 x 2456329 x 1439977 x 5423119 x 3509121 x 3451187 x 2233203 x 2057319 x 1309493 x 847
Negative:
-1 x -417571-7 x -59653-11 x -37961-17 x -24563-29 x -14399-77 x -5423-119 x -3509-121 x -3451-187 x -2233-203 x -2057-319 x -1309-493 x -847
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 417,571, 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 | 417,571 | |
| -1 | -417,571 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 417,571.
Example:
1 x 417,571 = 417,571
and
-1 x -417,571 = 417,571
Notice both answers equal 417,571
With that explanation out of the way, let's continue. Next, we take the number 417,571 and divide it by 2:
417,571 ÷ 2 = 208,785.5
If the quotient is a whole number, then 2 and 208,785.5 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 | 417,571 | |
| -1 | -417,571 |
Now, we try dividing 417,571 by 3:
417,571 ÷ 3 = 139,190.3333
If the quotient is a whole number, then 3 and 139,190.3333 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 | 417,571 | |
| -1 | -417,571 |
Let's try dividing by 4:
417,571 ÷ 4 = 104,392.75
If the quotient is a whole number, then 4 and 104,392.75 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 | 417,571 | |
| -1 | 417,571 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 17 | 29 | 77 | 119 | 121 | 187 | 203 | 319 | 493 | 847 | 1,309 | 2,057 | 2,233 | 3,451 | 3,509 | 5,423 | 14,399 | 24,563 | 37,961 | 59,653 | 417,571 |
| -1 | -7 | -11 | -17 | -29 | -77 | -119 | -121 | -187 | -203 | -319 | -493 | -847 | -1,309 | -2,057 | -2,233 | -3,451 | -3,509 | -5,423 | -14,399 | -24,563 | -37,961 | -59,653 | -417,571 |
Here are some more numbers to try:
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