A:
Positive:
1 x 41455454313 x 31888811127 x 3264209193 x 21479511301 x 3186431651 x 2510932509 x 16522716913 x 24511
Negative:
-1 x -414554543-13 x -31888811-127 x -3264209-193 x -2147951-1301 x -318643-1651 x -251093-2509 x -165227-16913 x -24511
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 414,554,543, 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 | 414,554,543 | |
| -1 | -414,554,543 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,554,543.
Example:
1 x 414,554,543 = 414,554,543
and
-1 x -414,554,543 = 414,554,543
Notice both answers equal 414,554,543
With that explanation out of the way, let's continue. Next, we take the number 414,554,543 and divide it by 2:
414,554,543 ÷ 2 = 207,277,271.5
If the quotient is a whole number, then 2 and 207,277,271.5 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 | 414,554,543 | |
| -1 | -414,554,543 |
Now, we try dividing 414,554,543 by 3:
414,554,543 ÷ 3 = 138,184,847.6667
If the quotient is a whole number, then 3 and 138,184,847.6667 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 | 414,554,543 | |
| -1 | -414,554,543 |
Let's try dividing by 4:
414,554,543 ÷ 4 = 103,638,635.75
If the quotient is a whole number, then 4 and 103,638,635.75 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 | 414,554,543 | |
| -1 | 414,554,543 |
If you did it right, you will end up with this table:
| 1 | 13 | 127 | 193 | 1,301 | 1,651 | 2,509 | 16,913 | 24,511 | 165,227 | 251,093 | 318,643 | 2,147,951 | 3,264,209 | 31,888,811 | 414,554,543 |
| -1 | -13 | -127 | -193 | -1,301 | -1,651 | -2,509 | -16,913 | -24,511 | -165,227 | -251,093 | -318,643 | -2,147,951 | -3,264,209 | -31,888,811 | -414,554,543 |
Here are some more numbers to try:
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