A:
Positive:
1 x 104005155 x 208010317 x 61179537 x 28109585 x 122359185 x 56219629 x 165353145 x 3307
Negative:
-1 x -10400515-5 x -2080103-17 x -611795-37 x -281095-85 x -122359-185 x -56219-629 x -16535-3145 x -3307
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 10,400,515, 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 | 10,400,515 | |
| -1 | -10,400,515 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,400,515.
Example:
1 x 10,400,515 = 10,400,515
and
-1 x -10,400,515 = 10,400,515
Notice both answers equal 10,400,515
With that explanation out of the way, let's continue. Next, we take the number 10,400,515 and divide it by 2:
10,400,515 ÷ 2 = 5,200,257.5
If the quotient is a whole number, then 2 and 5,200,257.5 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 | 10,400,515 | |
| -1 | -10,400,515 |
Now, we try dividing 10,400,515 by 3:
10,400,515 ÷ 3 = 3,466,838.3333
If the quotient is a whole number, then 3 and 3,466,838.3333 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 | 10,400,515 | |
| -1 | -10,400,515 |
Let's try dividing by 4:
10,400,515 ÷ 4 = 2,600,128.75
If the quotient is a whole number, then 4 and 2,600,128.75 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 | 10,400,515 | |
| -1 | 10,400,515 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 37 | 85 | 185 | 629 | 3,145 | 3,307 | 16,535 | 56,219 | 122,359 | 281,095 | 611,795 | 2,080,103 | 10,400,515 |
| -1 | -5 | -17 | -37 | -85 | -185 | -629 | -3,145 | -3,307 | -16,535 | -56,219 | -122,359 | -281,095 | -611,795 | -2,080,103 | -10,400,515 |
Here are some more numbers to try:
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