A:
Positive:
1 x 5014200055 x 10028400129 x 17290345145 x 3458069167 x 3002515835 x 6005034843 x 10353520707 x 24215
Negative:
-1 x -501420005-5 x -100284001-29 x -17290345-145 x -3458069-167 x -3002515-835 x -600503-4843 x -103535-20707 x -24215
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 501,420,005, 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 | 501,420,005 | |
| -1 | -501,420,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 501,420,005.
Example:
1 x 501,420,005 = 501,420,005
and
-1 x -501,420,005 = 501,420,005
Notice both answers equal 501,420,005
With that explanation out of the way, let's continue. Next, we take the number 501,420,005 and divide it by 2:
501,420,005 ÷ 2 = 250,710,002.5
If the quotient is a whole number, then 2 and 250,710,002.5 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 | 501,420,005 | |
| -1 | -501,420,005 |
Now, we try dividing 501,420,005 by 3:
501,420,005 ÷ 3 = 167,140,001.6667
If the quotient is a whole number, then 3 and 167,140,001.6667 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 | 501,420,005 | |
| -1 | -501,420,005 |
Let's try dividing by 4:
501,420,005 ÷ 4 = 125,355,001.25
If the quotient is a whole number, then 4 and 125,355,001.25 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 | 501,420,005 | |
| -1 | 501,420,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 167 | 835 | 4,843 | 20,707 | 24,215 | 103,535 | 600,503 | 3,002,515 | 3,458,069 | 17,290,345 | 100,284,001 | 501,420,005 |
| -1 | -5 | -29 | -145 | -167 | -835 | -4,843 | -20,707 | -24,215 | -103,535 | -600,503 | -3,002,515 | -3,458,069 | -17,290,345 | -100,284,001 | -501,420,005 |
Here are some more numbers to try:
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