A:
Positive:
1 x 361404197 x 516291717 x 2125907119 x 303701269 x 1343511129 x 320111883 x 191934573 x 7903
Negative:
-1 x -36140419-7 x -5162917-17 x -2125907-119 x -303701-269 x -134351-1129 x -32011-1883 x -19193-4573 x -7903
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 36,140,419, 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 | 36,140,419 | |
| -1 | -36,140,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,140,419.
Example:
1 x 36,140,419 = 36,140,419
and
-1 x -36,140,419 = 36,140,419
Notice both answers equal 36,140,419
With that explanation out of the way, let's continue. Next, we take the number 36,140,419 and divide it by 2:
36,140,419 ÷ 2 = 18,070,209.5
If the quotient is a whole number, then 2 and 18,070,209.5 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 | 36,140,419 | |
| -1 | -36,140,419 |
Now, we try dividing 36,140,419 by 3:
36,140,419 ÷ 3 = 12,046,806.3333
If the quotient is a whole number, then 3 and 12,046,806.3333 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 | 36,140,419 | |
| -1 | -36,140,419 |
Let's try dividing by 4:
36,140,419 ÷ 4 = 9,035,104.75
If the quotient is a whole number, then 4 and 9,035,104.75 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 | 36,140,419 | |
| -1 | 36,140,419 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 269 | 1,129 | 1,883 | 4,573 | 7,903 | 19,193 | 32,011 | 134,351 | 303,701 | 2,125,907 | 5,162,917 | 36,140,419 |
| -1 | -7 | -17 | -119 | -269 | -1,129 | -1,883 | -4,573 | -7,903 | -19,193 | -32,011 | -134,351 | -303,701 | -2,125,907 | -5,162,917 | -36,140,419 |
Here are some more numbers to try:
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