A:
Positive:
1 x 412100655 x 824201313 x 317000565 x 634001431 x 956151471 x 280152155 x 191235603 x 7355
Negative:
-1 x -41210065-5 x -8242013-13 x -3170005-65 x -634001-431 x -95615-1471 x -28015-2155 x -19123-5603 x -7355
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 41,210,065, 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 | 41,210,065 | |
| -1 | -41,210,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,210,065.
Example:
1 x 41,210,065 = 41,210,065
and
-1 x -41,210,065 = 41,210,065
Notice both answers equal 41,210,065
With that explanation out of the way, let's continue. Next, we take the number 41,210,065 and divide it by 2:
41,210,065 ÷ 2 = 20,605,032.5
If the quotient is a whole number, then 2 and 20,605,032.5 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 | 41,210,065 | |
| -1 | -41,210,065 |
Now, we try dividing 41,210,065 by 3:
41,210,065 ÷ 3 = 13,736,688.3333
If the quotient is a whole number, then 3 and 13,736,688.3333 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 | 41,210,065 | |
| -1 | -41,210,065 |
Let's try dividing by 4:
41,210,065 ÷ 4 = 10,302,516.25
If the quotient is a whole number, then 4 and 10,302,516.25 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 | 41,210,065 | |
| -1 | 41,210,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 431 | 1,471 | 2,155 | 5,603 | 7,355 | 19,123 | 28,015 | 95,615 | 634,001 | 3,170,005 | 8,242,013 | 41,210,065 |
| -1 | -5 | -13 | -65 | -431 | -1,471 | -2,155 | -5,603 | -7,355 | -19,123 | -28,015 | -95,615 | -634,001 | -3,170,005 | -8,242,013 | -41,210,065 |
Here are some more numbers to try:
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