A:
Positive:
1 x 22512234131 x 7262011191 x 1178651193 x 1166437197 x 11427535921 x 380215983 x 376276107 x 36863
Negative:
-1 x -225122341-31 x -7262011-191 x -1178651-193 x -1166437-197 x -1142753-5921 x -38021-5983 x -37627-6107 x -36863
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 225,122,341, 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 | 225,122,341 | |
| -1 | -225,122,341 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 225,122,341.
Example:
1 x 225,122,341 = 225,122,341
and
-1 x -225,122,341 = 225,122,341
Notice both answers equal 225,122,341
With that explanation out of the way, let's continue. Next, we take the number 225,122,341 and divide it by 2:
225,122,341 ÷ 2 = 112,561,170.5
If the quotient is a whole number, then 2 and 112,561,170.5 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 | 225,122,341 | |
| -1 | -225,122,341 |
Now, we try dividing 225,122,341 by 3:
225,122,341 ÷ 3 = 75,040,780.3333
If the quotient is a whole number, then 3 and 75,040,780.3333 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 | 225,122,341 | |
| -1 | -225,122,341 |
Let's try dividing by 4:
225,122,341 ÷ 4 = 56,280,585.25
If the quotient is a whole number, then 4 and 56,280,585.25 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 | 225,122,341 | |
| -1 | 225,122,341 |
If you did it right, you will end up with this table:
| 1 | 31 | 191 | 193 | 197 | 5,921 | 5,983 | 6,107 | 36,863 | 37,627 | 38,021 | 1,142,753 | 1,166,437 | 1,178,651 | 7,262,011 | 225,122,341 |
| -1 | -31 | -191 | -193 | -197 | -5,921 | -5,983 | -6,107 | -36,863 | -37,627 | -38,021 | -1,142,753 | -1,166,437 | -1,178,651 | -7,262,011 | -225,122,341 |
Here are some more numbers to try:
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