A:
Positive:
1 x 25101055 x 50202113 x 19308523 x 10913565 x 3861773 x 34385115 x 21827299 x 8395365 x 6877529 x 4745949 x 26451495 x 1679
Negative:
-1 x -2510105-5 x -502021-13 x -193085-23 x -109135-65 x -38617-73 x -34385-115 x -21827-299 x -8395-365 x -6877-529 x -4745-949 x -2645-1495 x -1679
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 2,510,105, 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 | 2,510,105 | |
| -1 | -2,510,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,510,105.
Example:
1 x 2,510,105 = 2,510,105
and
-1 x -2,510,105 = 2,510,105
Notice both answers equal 2,510,105
With that explanation out of the way, let's continue. Next, we take the number 2,510,105 and divide it by 2:
2,510,105 ÷ 2 = 1,255,052.5
If the quotient is a whole number, then 2 and 1,255,052.5 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 | 2,510,105 | |
| -1 | -2,510,105 |
Now, we try dividing 2,510,105 by 3:
2,510,105 ÷ 3 = 836,701.6667
If the quotient is a whole number, then 3 and 836,701.6667 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 | 2,510,105 | |
| -1 | -2,510,105 |
Let's try dividing by 4:
2,510,105 ÷ 4 = 627,526.25
If the quotient is a whole number, then 4 and 627,526.25 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 | 2,510,105 | |
| -1 | 2,510,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 65 | 73 | 115 | 299 | 365 | 529 | 949 | 1,495 | 1,679 | 2,645 | 4,745 | 6,877 | 8,395 | 21,827 | 34,385 | 38,617 | 109,135 | 193,085 | 502,021 | 2,510,105 |
| -1 | -5 | -13 | -23 | -65 | -73 | -115 | -299 | -365 | -529 | -949 | -1,495 | -1,679 | -2,645 | -4,745 | -6,877 | -8,395 | -21,827 | -34,385 | -38,617 | -109,135 | -193,085 | -502,021 | -2,510,105 |
Here are some more numbers to try:
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