A:
Positive:
1 x 4172355 x 834477 x 5960513 x 3209535 x 1192149 x 851565 x 641991 x 4585131 x 3185245 x 1703455 x 917637 x 655
Negative:
-1 x -417235-5 x -83447-7 x -59605-13 x -32095-35 x -11921-49 x -8515-65 x -6419-91 x -4585-131 x -3185-245 x -1703-455 x -917-637 x -655
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 417,235, 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 | 417,235 | |
| -1 | -417,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 417,235.
Example:
1 x 417,235 = 417,235
and
-1 x -417,235 = 417,235
Notice both answers equal 417,235
With that explanation out of the way, let's continue. Next, we take the number 417,235 and divide it by 2:
417,235 ÷ 2 = 208,617.5
If the quotient is a whole number, then 2 and 208,617.5 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 | 417,235 | |
| -1 | -417,235 |
Now, we try dividing 417,235 by 3:
417,235 ÷ 3 = 139,078.3333
If the quotient is a whole number, then 3 and 139,078.3333 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 | 417,235 | |
| -1 | -417,235 |
Let's try dividing by 4:
417,235 ÷ 4 = 104,308.75
If the quotient is a whole number, then 4 and 104,308.75 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 | 417,235 | |
| -1 | 417,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 49 | 65 | 91 | 131 | 245 | 455 | 637 | 655 | 917 | 1,703 | 3,185 | 4,585 | 6,419 | 8,515 | 11,921 | 32,095 | 59,605 | 83,447 | 417,235 |
| -1 | -5 | -7 | -13 | -35 | -49 | -65 | -91 | -131 | -245 | -455 | -637 | -655 | -917 | -1,703 | -3,185 | -4,585 | -6,419 | -8,515 | -11,921 | -32,095 | -59,605 | -83,447 | -417,235 |
Here are some more numbers to try:
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