A:
Positive:
1 x 4721755 x 9443511 x 4292517 x 2777525 x 1888755 x 858585 x 5555101 x 4675187 x 2525275 x 1717425 x 1111505 x 935
Negative:
-1 x -472175-5 x -94435-11 x -42925-17 x -27775-25 x -18887-55 x -8585-85 x -5555-101 x -4675-187 x -2525-275 x -1717-425 x -1111-505 x -935
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 472,175, 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 | 472,175 | |
| -1 | -472,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 472,175.
Example:
1 x 472,175 = 472,175
and
-1 x -472,175 = 472,175
Notice both answers equal 472,175
With that explanation out of the way, let's continue. Next, we take the number 472,175 and divide it by 2:
472,175 ÷ 2 = 236,087.5
If the quotient is a whole number, then 2 and 236,087.5 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 | 472,175 | |
| -1 | -472,175 |
Now, we try dividing 472,175 by 3:
472,175 ÷ 3 = 157,391.6667
If the quotient is a whole number, then 3 and 157,391.6667 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 | 472,175 | |
| -1 | -472,175 |
Let's try dividing by 4:
472,175 ÷ 4 = 118,043.75
If the quotient is a whole number, then 4 and 118,043.75 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 | 472,175 | |
| -1 | 472,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 25 | 55 | 85 | 101 | 187 | 275 | 425 | 505 | 935 | 1,111 | 1,717 | 2,525 | 4,675 | 5,555 | 8,585 | 18,887 | 27,775 | 42,925 | 94,435 | 472,175 |
| -1 | -5 | -11 | -17 | -25 | -55 | -85 | -101 | -187 | -275 | -425 | -505 | -935 | -1,111 | -1,717 | -2,525 | -4,675 | -5,555 | -8,585 | -18,887 | -27,775 | -42,925 | -94,435 | -472,175 |
Here are some more numbers to try:
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