A:
Positive:
1 x 2241134217 x 3201620329 x 772804941 x 5466181203 x 1104007287 x 7808831189 x 1884898323 x 26927
Negative:
-1 x -224113421-7 x -32016203-29 x -7728049-41 x -5466181-203 x -1104007-287 x -780883-1189 x -188489-8323 x -26927
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 224,113,421, 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 | 224,113,421 | |
| -1 | -224,113,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,113,421.
Example:
1 x 224,113,421 = 224,113,421
and
-1 x -224,113,421 = 224,113,421
Notice both answers equal 224,113,421
With that explanation out of the way, let's continue. Next, we take the number 224,113,421 and divide it by 2:
224,113,421 ÷ 2 = 112,056,710.5
If the quotient is a whole number, then 2 and 112,056,710.5 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 | 224,113,421 | |
| -1 | -224,113,421 |
Now, we try dividing 224,113,421 by 3:
224,113,421 ÷ 3 = 74,704,473.6667
If the quotient is a whole number, then 3 and 74,704,473.6667 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 | 224,113,421 | |
| -1 | -224,113,421 |
Let's try dividing by 4:
224,113,421 ÷ 4 = 56,028,355.25
If the quotient is a whole number, then 4 and 56,028,355.25 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 | 224,113,421 | |
| -1 | 224,113,421 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 41 | 203 | 287 | 1,189 | 8,323 | 26,927 | 188,489 | 780,883 | 1,104,007 | 5,466,181 | 7,728,049 | 32,016,203 | 224,113,421 |
| -1 | -7 | -29 | -41 | -203 | -287 | -1,189 | -8,323 | -26,927 | -188,489 | -780,883 | -1,104,007 | -5,466,181 | -7,728,049 | -32,016,203 | -224,113,421 |
Here are some more numbers to try:
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