A:
Positive:
1 x 1040673131 x 33570137 x 28126343 x 242017211 x 493211147 x 90731333 x 78071591 x 6541
Negative:
-1 x -10406731-31 x -335701-37 x -281263-43 x -242017-211 x -49321-1147 x -9073-1333 x -7807-1591 x -6541
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 10,406,731, 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 | 10,406,731 | |
| -1 | -10,406,731 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,406,731.
Example:
1 x 10,406,731 = 10,406,731
and
-1 x -10,406,731 = 10,406,731
Notice both answers equal 10,406,731
With that explanation out of the way, let's continue. Next, we take the number 10,406,731 and divide it by 2:
10,406,731 ÷ 2 = 5,203,365.5
If the quotient is a whole number, then 2 and 5,203,365.5 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 | 10,406,731 | |
| -1 | -10,406,731 |
Now, we try dividing 10,406,731 by 3:
10,406,731 ÷ 3 = 3,468,910.3333
If the quotient is a whole number, then 3 and 3,468,910.3333 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 | 10,406,731 | |
| -1 | -10,406,731 |
Let's try dividing by 4:
10,406,731 ÷ 4 = 2,601,682.75
If the quotient is a whole number, then 4 and 2,601,682.75 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 | 10,406,731 | |
| -1 | 10,406,731 |
If you did it right, you will end up with this table:
| 1 | 31 | 37 | 43 | 211 | 1,147 | 1,333 | 1,591 | 6,541 | 7,807 | 9,073 | 49,321 | 242,017 | 281,263 | 335,701 | 10,406,731 |
| -1 | -31 | -37 | -43 | -211 | -1,147 | -1,333 | -1,591 | -6,541 | -7,807 | -9,073 | -49,321 | -242,017 | -281,263 | -335,701 | -10,406,731 |
Here are some more numbers to try:
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