A:
Positive:
1 x 2132727255 x 4265454525 x 853090967 x 3183175157 x 1358425335 x 636635785 x 271685811 x 2629751675 x 1273273925 x 543374055 x 5259510519 x 20275
Negative:
-1 x -213272725-5 x -42654545-25 x -8530909-67 x -3183175-157 x -1358425-335 x -636635-785 x -271685-811 x -262975-1675 x -127327-3925 x -54337-4055 x -52595-10519 x -20275
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 213,272,725, 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 | 213,272,725 | |
| -1 | -213,272,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,272,725.
Example:
1 x 213,272,725 = 213,272,725
and
-1 x -213,272,725 = 213,272,725
Notice both answers equal 213,272,725
With that explanation out of the way, let's continue. Next, we take the number 213,272,725 and divide it by 2:
213,272,725 ÷ 2 = 106,636,362.5
If the quotient is a whole number, then 2 and 106,636,362.5 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 | 213,272,725 | |
| -1 | -213,272,725 |
Now, we try dividing 213,272,725 by 3:
213,272,725 ÷ 3 = 71,090,908.3333
If the quotient is a whole number, then 3 and 71,090,908.3333 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 | 213,272,725 | |
| -1 | -213,272,725 |
Let's try dividing by 4:
213,272,725 ÷ 4 = 53,318,181.25
If the quotient is a whole number, then 4 and 53,318,181.25 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 | 213,272,725 | |
| -1 | 213,272,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 157 | 335 | 785 | 811 | 1,675 | 3,925 | 4,055 | 10,519 | 20,275 | 52,595 | 54,337 | 127,327 | 262,975 | 271,685 | 636,635 | 1,358,425 | 3,183,175 | 8,530,909 | 42,654,545 | 213,272,725 |
| -1 | -5 | -25 | -67 | -157 | -335 | -785 | -811 | -1,675 | -3,925 | -4,055 | -10,519 | -20,275 | -52,595 | -54,337 | -127,327 | -262,975 | -271,685 | -636,635 | -1,358,425 | -3,183,175 | -8,530,909 | -42,654,545 | -213,272,725 |
Here are some more numbers to try:
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