A:
Positive:
1 x 103140055 x 206280113 x 79338523 x 44843565 x 158677115 x 89687299 x 344951495 x 6899
Negative:
-1 x -10314005-5 x -2062801-13 x -793385-23 x -448435-65 x -158677-115 x -89687-299 x -34495-1495 x -6899
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 10,314,005, 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 | 10,314,005 | |
| -1 | -10,314,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,314,005.
Example:
1 x 10,314,005 = 10,314,005
and
-1 x -10,314,005 = 10,314,005
Notice both answers equal 10,314,005
With that explanation out of the way, let's continue. Next, we take the number 10,314,005 and divide it by 2:
10,314,005 ÷ 2 = 5,157,002.5
If the quotient is a whole number, then 2 and 5,157,002.5 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 | 10,314,005 | |
| -1 | -10,314,005 |
Now, we try dividing 10,314,005 by 3:
10,314,005 ÷ 3 = 3,438,001.6667
If the quotient is a whole number, then 3 and 3,438,001.6667 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 | 10,314,005 | |
| -1 | -10,314,005 |
Let's try dividing by 4:
10,314,005 ÷ 4 = 2,578,501.25
If the quotient is a whole number, then 4 and 2,578,501.25 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 | 10,314,005 | |
| -1 | 10,314,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 65 | 115 | 299 | 1,495 | 6,899 | 34,495 | 89,687 | 158,677 | 448,435 | 793,385 | 2,062,801 | 10,314,005 |
| -1 | -5 | -13 | -23 | -65 | -115 | -299 | -1,495 | -6,899 | -34,495 | -89,687 | -158,677 | -448,435 | -793,385 | -2,062,801 | -10,314,005 |
Here are some more numbers to try:
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