A:
Positive:
1 x 4145252155 x 8290504313 x 3188655565 x 6377311307 x 13502451535 x 2700493991 x 10386519955 x 20773
Negative:
-1 x -414525215-5 x -82905043-13 x -31886555-65 x -6377311-307 x -1350245-1535 x -270049-3991 x -103865-19955 x -20773
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 414,525,215, 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 | 414,525,215 | |
| -1 | -414,525,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,525,215.
Example:
1 x 414,525,215 = 414,525,215
and
-1 x -414,525,215 = 414,525,215
Notice both answers equal 414,525,215
With that explanation out of the way, let's continue. Next, we take the number 414,525,215 and divide it by 2:
414,525,215 ÷ 2 = 207,262,607.5
If the quotient is a whole number, then 2 and 207,262,607.5 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 | 414,525,215 | |
| -1 | -414,525,215 |
Now, we try dividing 414,525,215 by 3:
414,525,215 ÷ 3 = 138,175,071.6667
If the quotient is a whole number, then 3 and 138,175,071.6667 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 | 414,525,215 | |
| -1 | -414,525,215 |
Let's try dividing by 4:
414,525,215 ÷ 4 = 103,631,303.75
If the quotient is a whole number, then 4 and 103,631,303.75 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 | 414,525,215 | |
| -1 | 414,525,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 307 | 1,535 | 3,991 | 19,955 | 20,773 | 103,865 | 270,049 | 1,350,245 | 6,377,311 | 31,886,555 | 82,905,043 | 414,525,215 |
| -1 | -5 | -13 | -65 | -307 | -1,535 | -3,991 | -19,955 | -20,773 | -103,865 | -270,049 | -1,350,245 | -6,377,311 | -31,886,555 | -82,905,043 | -414,525,215 |
Here are some more numbers to try:
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