A:
Positive:
1 x 2244242217 x 3206060331 x 7239491137 x 1638133217 x 1034213959 x 2340194247 x 528437549 x 29729
Negative:
-1 x -224424221-7 x -32060603-31 x -7239491-137 x -1638133-217 x -1034213-959 x -234019-4247 x -52843-7549 x -29729
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 224,424,221, 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 | 224,424,221 | |
| -1 | -224,424,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,424,221.
Example:
1 x 224,424,221 = 224,424,221
and
-1 x -224,424,221 = 224,424,221
Notice both answers equal 224,424,221
With that explanation out of the way, let's continue. Next, we take the number 224,424,221 and divide it by 2:
224,424,221 ÷ 2 = 112,212,110.5
If the quotient is a whole number, then 2 and 112,212,110.5 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 | 224,424,221 | |
| -1 | -224,424,221 |
Now, we try dividing 224,424,221 by 3:
224,424,221 ÷ 3 = 74,808,073.6667
If the quotient is a whole number, then 3 and 74,808,073.6667 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 | 224,424,221 | |
| -1 | -224,424,221 |
Let's try dividing by 4:
224,424,221 ÷ 4 = 56,106,055.25
If the quotient is a whole number, then 4 and 56,106,055.25 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 | 224,424,221 | |
| -1 | 224,424,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 137 | 217 | 959 | 4,247 | 7,549 | 29,729 | 52,843 | 234,019 | 1,034,213 | 1,638,133 | 7,239,491 | 32,060,603 | 224,424,221 |
| -1 | -7 | -31 | -137 | -217 | -959 | -4,247 | -7,549 | -29,729 | -52,843 | -234,019 | -1,034,213 | -1,638,133 | -7,239,491 | -32,060,603 | -224,424,221 |
Here are some more numbers to try:
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