A:
Positive:
1 x 2103101355 x 420620277 x 3004430535 x 6008861157 x 1339555785 x 2679111099 x 1913655495 x 38273
Negative:
-1 x -210310135-5 x -42062027-7 x -30044305-35 x -6008861-157 x -1339555-785 x -267911-1099 x -191365-5495 x -38273
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 210,310,135, 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 | 210,310,135 | |
| -1 | -210,310,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,310,135.
Example:
1 x 210,310,135 = 210,310,135
and
-1 x -210,310,135 = 210,310,135
Notice both answers equal 210,310,135
With that explanation out of the way, let's continue. Next, we take the number 210,310,135 and divide it by 2:
210,310,135 ÷ 2 = 105,155,067.5
If the quotient is a whole number, then 2 and 105,155,067.5 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 | 210,310,135 | |
| -1 | -210,310,135 |
Now, we try dividing 210,310,135 by 3:
210,310,135 ÷ 3 = 70,103,378.3333
If the quotient is a whole number, then 3 and 70,103,378.3333 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 | 210,310,135 | |
| -1 | -210,310,135 |
Let's try dividing by 4:
210,310,135 ÷ 4 = 52,577,533.75
If the quotient is a whole number, then 4 and 52,577,533.75 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 | 210,310,135 | |
| -1 | 210,310,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 157 | 785 | 1,099 | 5,495 | 38,273 | 191,365 | 267,911 | 1,339,555 | 6,008,861 | 30,044,305 | 42,062,027 | 210,310,135 |
| -1 | -5 | -7 | -35 | -157 | -785 | -1,099 | -5,495 | -38,273 | -191,365 | -267,911 | -1,339,555 | -6,008,861 | -30,044,305 | -42,062,027 | -210,310,135 |
Here are some more numbers to try:
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