A:
Positive:
1 x 355001997 x 507145717 x 2088247119 x 298321269 x 1319711109 x 320111883 x 188534573 x 7763
Negative:
-1 x -35500199-7 x -5071457-17 x -2088247-119 x -298321-269 x -131971-1109 x -32011-1883 x -18853-4573 x -7763
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 35,500,199, 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 | 35,500,199 | |
| -1 | -35,500,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,500,199.
Example:
1 x 35,500,199 = 35,500,199
and
-1 x -35,500,199 = 35,500,199
Notice both answers equal 35,500,199
With that explanation out of the way, let's continue. Next, we take the number 35,500,199 and divide it by 2:
35,500,199 ÷ 2 = 17,750,099.5
If the quotient is a whole number, then 2 and 17,750,099.5 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 | 35,500,199 | |
| -1 | -35,500,199 |
Now, we try dividing 35,500,199 by 3:
35,500,199 ÷ 3 = 11,833,399.6667
If the quotient is a whole number, then 3 and 11,833,399.6667 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 | 35,500,199 | |
| -1 | -35,500,199 |
Let's try dividing by 4:
35,500,199 ÷ 4 = 8,875,049.75
If the quotient is a whole number, then 4 and 8,875,049.75 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 | 35,500,199 | |
| -1 | 35,500,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 269 | 1,109 | 1,883 | 4,573 | 7,763 | 18,853 | 32,011 | 131,971 | 298,321 | 2,088,247 | 5,071,457 | 35,500,199 |
| -1 | -7 | -17 | -119 | -269 | -1,109 | -1,883 | -4,573 | -7,763 | -18,853 | -32,011 | -131,971 | -298,321 | -2,088,247 | -5,071,457 | -35,500,199 |
Here are some more numbers to try:
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