A:
Positive:
1 x 2134140255 x 4268280511 x 1940127525 x 853656155 x 3880255157 x 1359325275 x 776051785 x 2718651727 x 1235753925 x 543734943 x 431758635 x 24715
Negative:
-1 x -213414025-5 x -42682805-11 x -19401275-25 x -8536561-55 x -3880255-157 x -1359325-275 x -776051-785 x -271865-1727 x -123575-3925 x -54373-4943 x -43175-8635 x -24715
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 213,414,025, 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 | 213,414,025 | |
| -1 | -213,414,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,414,025.
Example:
1 x 213,414,025 = 213,414,025
and
-1 x -213,414,025 = 213,414,025
Notice both answers equal 213,414,025
With that explanation out of the way, let's continue. Next, we take the number 213,414,025 and divide it by 2:
213,414,025 ÷ 2 = 106,707,012.5
If the quotient is a whole number, then 2 and 106,707,012.5 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 | 213,414,025 | |
| -1 | -213,414,025 |
Now, we try dividing 213,414,025 by 3:
213,414,025 ÷ 3 = 71,138,008.3333
If the quotient is a whole number, then 3 and 71,138,008.3333 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 | 213,414,025 | |
| -1 | -213,414,025 |
Let's try dividing by 4:
213,414,025 ÷ 4 = 53,353,506.25
If the quotient is a whole number, then 4 and 53,353,506.25 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 | 213,414,025 | |
| -1 | 213,414,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 157 | 275 | 785 | 1,727 | 3,925 | 4,943 | 8,635 | 24,715 | 43,175 | 54,373 | 123,575 | 271,865 | 776,051 | 1,359,325 | 3,880,255 | 8,536,561 | 19,401,275 | 42,682,805 | 213,414,025 |
| -1 | -5 | -11 | -25 | -55 | -157 | -275 | -785 | -1,727 | -3,925 | -4,943 | -8,635 | -24,715 | -43,175 | -54,373 | -123,575 | -271,865 | -776,051 | -1,359,325 | -3,880,255 | -8,536,561 | -19,401,275 | -42,682,805 | -213,414,025 |
Here are some more numbers to try:
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