A:
Positive:
1 x 103064717 x 147235317 x 606263119 x 86609257 x 40103337 x 305831799 x 57292359 x 4369
Negative:
-1 x -10306471-7 x -1472353-17 x -606263-119 x -86609-257 x -40103-337 x -30583-1799 x -5729-2359 x -4369
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 10,306,471, 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 | 10,306,471 | |
| -1 | -10,306,471 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,306,471.
Example:
1 x 10,306,471 = 10,306,471
and
-1 x -10,306,471 = 10,306,471
Notice both answers equal 10,306,471
With that explanation out of the way, let's continue. Next, we take the number 10,306,471 and divide it by 2:
10,306,471 ÷ 2 = 5,153,235.5
If the quotient is a whole number, then 2 and 5,153,235.5 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 | 10,306,471 | |
| -1 | -10,306,471 |
Now, we try dividing 10,306,471 by 3:
10,306,471 ÷ 3 = 3,435,490.3333
If the quotient is a whole number, then 3 and 3,435,490.3333 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 | 10,306,471 | |
| -1 | -10,306,471 |
Let's try dividing by 4:
10,306,471 ÷ 4 = 2,576,617.75
If the quotient is a whole number, then 4 and 2,576,617.75 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 | 10,306,471 | |
| -1 | 10,306,471 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 257 | 337 | 1,799 | 2,359 | 4,369 | 5,729 | 30,583 | 40,103 | 86,609 | 606,263 | 1,472,353 | 10,306,471 |
| -1 | -7 | -17 | -119 | -257 | -337 | -1,799 | -2,359 | -4,369 | -5,729 | -30,583 | -40,103 | -86,609 | -606,263 | -1,472,353 | -10,306,471 |
Here are some more numbers to try:
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