A:
Positive:
1 x 4230024197 x 6042891779 x 5354461553 x 764923599 x 7061811277 x 3312474193 x 1008838939 x 47321
Negative:
-1 x -423002419-7 x -60428917-79 x -5354461-553 x -764923-599 x -706181-1277 x -331247-4193 x -100883-8939 x -47321
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 423,002,419, 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 | 423,002,419 | |
| -1 | -423,002,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 423,002,419.
Example:
1 x 423,002,419 = 423,002,419
and
-1 x -423,002,419 = 423,002,419
Notice both answers equal 423,002,419
With that explanation out of the way, let's continue. Next, we take the number 423,002,419 and divide it by 2:
423,002,419 ÷ 2 = 211,501,209.5
If the quotient is a whole number, then 2 and 211,501,209.5 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 | 423,002,419 | |
| -1 | -423,002,419 |
Now, we try dividing 423,002,419 by 3:
423,002,419 ÷ 3 = 141,000,806.3333
If the quotient is a whole number, then 3 and 141,000,806.3333 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 | 423,002,419 | |
| -1 | -423,002,419 |
Let's try dividing by 4:
423,002,419 ÷ 4 = 105,750,604.75
If the quotient is a whole number, then 4 and 105,750,604.75 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 | 423,002,419 | |
| -1 | 423,002,419 |
If you did it right, you will end up with this table:
| 1 | 7 | 79 | 553 | 599 | 1,277 | 4,193 | 8,939 | 47,321 | 100,883 | 331,247 | 706,181 | 764,923 | 5,354,461 | 60,428,917 | 423,002,419 |
| -1 | -7 | -79 | -553 | -599 | -1,277 | -4,193 | -8,939 | -47,321 | -100,883 | -331,247 | -706,181 | -764,923 | -5,354,461 | -60,428,917 | -423,002,419 |
Here are some more numbers to try:
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