A:
Positive:
1 x 4203300017 x 6004714313 x 3233307789 x 472280991 x 4619011623 x 6746871157 x 3632938099 x 51899
Negative:
-1 x -420330001-7 x -60047143-13 x -32333077-89 x -4722809-91 x -4619011-623 x -674687-1157 x -363293-8099 x -51899
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 420,330,001, 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 | 420,330,001 | |
| -1 | -420,330,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,330,001.
Example:
1 x 420,330,001 = 420,330,001
and
-1 x -420,330,001 = 420,330,001
Notice both answers equal 420,330,001
With that explanation out of the way, let's continue. Next, we take the number 420,330,001 and divide it by 2:
420,330,001 ÷ 2 = 210,165,000.5
If the quotient is a whole number, then 2 and 210,165,000.5 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 | 420,330,001 | |
| -1 | -420,330,001 |
Now, we try dividing 420,330,001 by 3:
420,330,001 ÷ 3 = 140,110,000.3333
If the quotient is a whole number, then 3 and 140,110,000.3333 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 | 420,330,001 | |
| -1 | -420,330,001 |
Let's try dividing by 4:
420,330,001 ÷ 4 = 105,082,500.25
If the quotient is a whole number, then 4 and 105,082,500.25 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 | 420,330,001 | |
| -1 | 420,330,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 89 | 91 | 623 | 1,157 | 8,099 | 51,899 | 363,293 | 674,687 | 4,619,011 | 4,722,809 | 32,333,077 | 60,047,143 | 420,330,001 |
| -1 | -7 | -13 | -89 | -91 | -623 | -1,157 | -8,099 | -51,899 | -363,293 | -674,687 | -4,619,011 | -4,722,809 | -32,333,077 | -60,047,143 | -420,330,001 |
Here are some more numbers to try:
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