A:
Positive:
1 x 4111421055 x 8222842111 x 3737655555 x 74753111303 x 3155355737 x 716656515 x 6310714333 x 28685
Negative:
-1 x -411142105-5 x -82228421-11 x -37376555-55 x -7475311-1303 x -315535-5737 x -71665-6515 x -63107-14333 x -28685
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 411,142,105, 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 | 411,142,105 | |
| -1 | -411,142,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 411,142,105.
Example:
1 x 411,142,105 = 411,142,105
and
-1 x -411,142,105 = 411,142,105
Notice both answers equal 411,142,105
With that explanation out of the way, let's continue. Next, we take the number 411,142,105 and divide it by 2:
411,142,105 ÷ 2 = 205,571,052.5
If the quotient is a whole number, then 2 and 205,571,052.5 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 | 411,142,105 | |
| -1 | -411,142,105 |
Now, we try dividing 411,142,105 by 3:
411,142,105 ÷ 3 = 137,047,368.3333
If the quotient is a whole number, then 3 and 137,047,368.3333 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 | 411,142,105 | |
| -1 | -411,142,105 |
Let's try dividing by 4:
411,142,105 ÷ 4 = 102,785,526.25
If the quotient is a whole number, then 4 and 102,785,526.25 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 | 411,142,105 | |
| -1 | 411,142,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 1,303 | 5,737 | 6,515 | 14,333 | 28,685 | 63,107 | 71,665 | 315,535 | 7,475,311 | 37,376,555 | 82,228,421 | 411,142,105 |
| -1 | -5 | -11 | -55 | -1,303 | -5,737 | -6,515 | -14,333 | -28,685 | -63,107 | -71,665 | -315,535 | -7,475,311 | -37,376,555 | -82,228,421 | -411,142,105 |
Here are some more numbers to try:
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