A:
Positive:
1 x 345341755 x 690683513 x 265647525 x 138136759 x 58532565 x 531295295 x 117065325 x 106259767 x 450251475 x 234131801 x 191753835 x 9005
Negative:
-1 x -34534175-5 x -6906835-13 x -2656475-25 x -1381367-59 x -585325-65 x -531295-295 x -117065-325 x -106259-767 x -45025-1475 x -23413-1801 x -19175-3835 x -9005
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 34,534,175, 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 | 34,534,175 | |
| -1 | -34,534,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,534,175.
Example:
1 x 34,534,175 = 34,534,175
and
-1 x -34,534,175 = 34,534,175
Notice both answers equal 34,534,175
With that explanation out of the way, let's continue. Next, we take the number 34,534,175 and divide it by 2:
34,534,175 ÷ 2 = 17,267,087.5
If the quotient is a whole number, then 2 and 17,267,087.5 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 | 34,534,175 | |
| -1 | -34,534,175 |
Now, we try dividing 34,534,175 by 3:
34,534,175 ÷ 3 = 11,511,391.6667
If the quotient is a whole number, then 3 and 11,511,391.6667 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 | 34,534,175 | |
| -1 | -34,534,175 |
Let's try dividing by 4:
34,534,175 ÷ 4 = 8,633,543.75
If the quotient is a whole number, then 4 and 8,633,543.75 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 | 34,534,175 | |
| -1 | 34,534,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 59 | 65 | 295 | 325 | 767 | 1,475 | 1,801 | 3,835 | 9,005 | 19,175 | 23,413 | 45,025 | 106,259 | 117,065 | 531,295 | 585,325 | 1,381,367 | 2,656,475 | 6,906,835 | 34,534,175 |
| -1 | -5 | -13 | -25 | -59 | -65 | -295 | -325 | -767 | -1,475 | -1,801 | -3,835 | -9,005 | -19,175 | -23,413 | -45,025 | -106,259 | -117,065 | -531,295 | -585,325 | -1,381,367 | -2,656,475 | -6,906,835 | -34,534,175 |
Here are some more numbers to try:
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