A:
Positive:
1 x 331411311 x 30128319 x 174427101 x 32813157 x 21109209 x 158571111 x 29831727 x 1919
Negative:
-1 x -3314113-11 x -301283-19 x -174427-101 x -32813-157 x -21109-209 x -15857-1111 x -2983-1727 x -1919
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 3,314,113, 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 | 3,314,113 | |
| -1 | -3,314,113 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,314,113.
Example:
1 x 3,314,113 = 3,314,113
and
-1 x -3,314,113 = 3,314,113
Notice both answers equal 3,314,113
With that explanation out of the way, let's continue. Next, we take the number 3,314,113 and divide it by 2:
3,314,113 ÷ 2 = 1,657,056.5
If the quotient is a whole number, then 2 and 1,657,056.5 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 | 3,314,113 | |
| -1 | -3,314,113 |
Now, we try dividing 3,314,113 by 3:
3,314,113 ÷ 3 = 1,104,704.3333
If the quotient is a whole number, then 3 and 1,104,704.3333 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 | 3,314,113 | |
| -1 | -3,314,113 |
Let's try dividing by 4:
3,314,113 ÷ 4 = 828,528.25
If the quotient is a whole number, then 4 and 828,528.25 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 | 3,314,113 | |
| -1 | 3,314,113 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 101 | 157 | 209 | 1,111 | 1,727 | 1,919 | 2,983 | 15,857 | 21,109 | 32,813 | 174,427 | 301,283 | 3,314,113 |
| -1 | -11 | -19 | -101 | -157 | -209 | -1,111 | -1,727 | -1,919 | -2,983 | -15,857 | -21,109 | -32,813 | -174,427 | -301,283 | -3,314,113 |
Here are some more numbers to try:
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