A:
Positive:
1 x 41781055 x 83562141 x 10190589 x 46945205 x 20381229 x 18245445 x 93891145 x 3649
Negative:
-1 x -4178105-5 x -835621-41 x -101905-89 x -46945-205 x -20381-229 x -18245-445 x -9389-1145 x -3649
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 4,178,105, 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 | 4,178,105 | |
| -1 | -4,178,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,178,105.
Example:
1 x 4,178,105 = 4,178,105
and
-1 x -4,178,105 = 4,178,105
Notice both answers equal 4,178,105
With that explanation out of the way, let's continue. Next, we take the number 4,178,105 and divide it by 2:
4,178,105 ÷ 2 = 2,089,052.5
If the quotient is a whole number, then 2 and 2,089,052.5 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 | 4,178,105 | |
| -1 | -4,178,105 |
Now, we try dividing 4,178,105 by 3:
4,178,105 ÷ 3 = 1,392,701.6667
If the quotient is a whole number, then 3 and 1,392,701.6667 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 | 4,178,105 | |
| -1 | -4,178,105 |
Let's try dividing by 4:
4,178,105 ÷ 4 = 1,044,526.25
If the quotient is a whole number, then 4 and 1,044,526.25 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 | 4,178,105 | |
| -1 | 4,178,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 89 | 205 | 229 | 445 | 1,145 | 3,649 | 9,389 | 18,245 | 20,381 | 46,945 | 101,905 | 835,621 | 4,178,105 |
| -1 | -5 | -41 | -89 | -205 | -229 | -445 | -1,145 | -3,649 | -9,389 | -18,245 | -20,381 | -46,945 | -101,905 | -835,621 | -4,178,105 |
Here are some more numbers to try:
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