A:
Positive:
1 x 306434055 x 612868113 x 235718565 x 471437293 x 1045851465 x 209171609 x 190453809 x 8045
Negative:
-1 x -30643405-5 x -6128681-13 x -2357185-65 x -471437-293 x -104585-1465 x -20917-1609 x -19045-3809 x -8045
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 30,643,405, 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 | 30,643,405 | |
| -1 | -30,643,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,643,405.
Example:
1 x 30,643,405 = 30,643,405
and
-1 x -30,643,405 = 30,643,405
Notice both answers equal 30,643,405
With that explanation out of the way, let's continue. Next, we take the number 30,643,405 and divide it by 2:
30,643,405 ÷ 2 = 15,321,702.5
If the quotient is a whole number, then 2 and 15,321,702.5 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 | 30,643,405 | |
| -1 | -30,643,405 |
Now, we try dividing 30,643,405 by 3:
30,643,405 ÷ 3 = 10,214,468.3333
If the quotient is a whole number, then 3 and 10,214,468.3333 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 | 30,643,405 | |
| -1 | -30,643,405 |
Let's try dividing by 4:
30,643,405 ÷ 4 = 7,660,851.25
If the quotient is a whole number, then 4 and 7,660,851.25 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 | 30,643,405 | |
| -1 | 30,643,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 293 | 1,465 | 1,609 | 3,809 | 8,045 | 19,045 | 20,917 | 104,585 | 471,437 | 2,357,185 | 6,128,681 | 30,643,405 |
| -1 | -5 | -13 | -65 | -293 | -1,465 | -1,609 | -3,809 | -8,045 | -19,045 | -20,917 | -104,585 | -471,437 | -2,357,185 | -6,128,681 | -30,643,405 |
Here are some more numbers to try:
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