A:
Positive:
1 x 350057477 x 500082123 x 152198949 x 71440389 x 393323161 x 217427349 x 100303623 x 561891127 x 310612047 x 171012443 x 143294361 x 8027
Negative:
-1 x -35005747-7 x -5000821-23 x -1521989-49 x -714403-89 x -393323-161 x -217427-349 x -100303-623 x -56189-1127 x -31061-2047 x -17101-2443 x -14329-4361 x -8027
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 35,005,747, 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 | 35,005,747 | |
| -1 | -35,005,747 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,005,747.
Example:
1 x 35,005,747 = 35,005,747
and
-1 x -35,005,747 = 35,005,747
Notice both answers equal 35,005,747
With that explanation out of the way, let's continue. Next, we take the number 35,005,747 and divide it by 2:
35,005,747 ÷ 2 = 17,502,873.5
If the quotient is a whole number, then 2 and 17,502,873.5 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 | 35,005,747 | |
| -1 | -35,005,747 |
Now, we try dividing 35,005,747 by 3:
35,005,747 ÷ 3 = 11,668,582.3333
If the quotient is a whole number, then 3 and 11,668,582.3333 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 | 35,005,747 | |
| -1 | -35,005,747 |
Let's try dividing by 4:
35,005,747 ÷ 4 = 8,751,436.75
If the quotient is a whole number, then 4 and 8,751,436.75 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 | 35,005,747 | |
| -1 | 35,005,747 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 89 | 161 | 349 | 623 | 1,127 | 2,047 | 2,443 | 4,361 | 8,027 | 14,329 | 17,101 | 31,061 | 56,189 | 100,303 | 217,427 | 393,323 | 714,403 | 1,521,989 | 5,000,821 | 35,005,747 |
| -1 | -7 | -23 | -49 | -89 | -161 | -349 | -623 | -1,127 | -2,047 | -2,443 | -4,361 | -8,027 | -14,329 | -17,101 | -31,061 | -56,189 | -100,303 | -217,427 | -393,323 | -714,403 | -1,521,989 | -5,000,821 | -35,005,747 |
Here are some more numbers to try:
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