A:
Positive:
1 x 26223064331 x 845905361 x 4298863101 x 25963431373 x 1909911891 x 1386733131 x 837536161 x 42563
Negative:
-1 x -262230643-31 x -8459053-61 x -4298863-101 x -2596343-1373 x -190991-1891 x -138673-3131 x -83753-6161 x -42563
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 262,230,643, 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 | 262,230,643 | |
| -1 | -262,230,643 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 262,230,643.
Example:
1 x 262,230,643 = 262,230,643
and
-1 x -262,230,643 = 262,230,643
Notice both answers equal 262,230,643
With that explanation out of the way, let's continue. Next, we take the number 262,230,643 and divide it by 2:
262,230,643 ÷ 2 = 131,115,321.5
If the quotient is a whole number, then 2 and 131,115,321.5 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 | 262,230,643 | |
| -1 | -262,230,643 |
Now, we try dividing 262,230,643 by 3:
262,230,643 ÷ 3 = 87,410,214.3333
If the quotient is a whole number, then 3 and 87,410,214.3333 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 | 262,230,643 | |
| -1 | -262,230,643 |
Let's try dividing by 4:
262,230,643 ÷ 4 = 65,557,660.75
If the quotient is a whole number, then 4 and 65,557,660.75 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 | 262,230,643 | |
| -1 | 262,230,643 |
If you did it right, you will end up with this table:
| 1 | 31 | 61 | 101 | 1,373 | 1,891 | 3,131 | 6,161 | 42,563 | 83,753 | 138,673 | 190,991 | 2,596,343 | 4,298,863 | 8,459,053 | 262,230,643 |
| -1 | -31 | -61 | -101 | -1,373 | -1,891 | -3,131 | -6,161 | -42,563 | -83,753 | -138,673 | -190,991 | -2,596,343 | -4,298,863 | -8,459,053 | -262,230,643 |
Here are some more numbers to try:
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