A:
Positive:
1 x 13540021313 x 1041540119 x 712632753 x 2554721247 x 548179689 x 1965171007 x 13445910343 x 13091
Negative:
-1 x -135400213-13 x -10415401-19 x -7126327-53 x -2554721-247 x -548179-689 x -196517-1007 x -134459-10343 x -13091
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 135,400,213, 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 | 135,400,213 | |
| -1 | -135,400,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,400,213.
Example:
1 x 135,400,213 = 135,400,213
and
-1 x -135,400,213 = 135,400,213
Notice both answers equal 135,400,213
With that explanation out of the way, let's continue. Next, we take the number 135,400,213 and divide it by 2:
135,400,213 ÷ 2 = 67,700,106.5
If the quotient is a whole number, then 2 and 67,700,106.5 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 | 135,400,213 | |
| -1 | -135,400,213 |
Now, we try dividing 135,400,213 by 3:
135,400,213 ÷ 3 = 45,133,404.3333
If the quotient is a whole number, then 3 and 45,133,404.3333 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 | 135,400,213 | |
| -1 | -135,400,213 |
Let's try dividing by 4:
135,400,213 ÷ 4 = 33,850,053.25
If the quotient is a whole number, then 4 and 33,850,053.25 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 | 135,400,213 | |
| -1 | 135,400,213 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 53 | 247 | 689 | 1,007 | 10,343 | 13,091 | 134,459 | 196,517 | 548,179 | 2,554,721 | 7,126,327 | 10,415,401 | 135,400,213 |
| -1 | -13 | -19 | -53 | -247 | -689 | -1,007 | -10,343 | -13,091 | -134,459 | -196,517 | -548,179 | -2,554,721 | -7,126,327 | -10,415,401 | -135,400,213 |
Here are some more numbers to try:
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