A:
Positive:
1 x 741259197 x 1058941761 x 121517967 x 1106357427 x 173597469 x 1580512591 x 286094087 x 18137
Negative:
-1 x -74125919-7 x -10589417-61 x -1215179-67 x -1106357-427 x -173597-469 x -158051-2591 x -28609-4087 x -18137
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 74,125,919, 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 | 74,125,919 | |
| -1 | -74,125,919 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,125,919.
Example:
1 x 74,125,919 = 74,125,919
and
-1 x -74,125,919 = 74,125,919
Notice both answers equal 74,125,919
With that explanation out of the way, let's continue. Next, we take the number 74,125,919 and divide it by 2:
74,125,919 ÷ 2 = 37,062,959.5
If the quotient is a whole number, then 2 and 37,062,959.5 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 | 74,125,919 | |
| -1 | -74,125,919 |
Now, we try dividing 74,125,919 by 3:
74,125,919 ÷ 3 = 24,708,639.6667
If the quotient is a whole number, then 3 and 24,708,639.6667 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 | 74,125,919 | |
| -1 | -74,125,919 |
Let's try dividing by 4:
74,125,919 ÷ 4 = 18,531,479.75
If the quotient is a whole number, then 4 and 18,531,479.75 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 | 74,125,919 | |
| -1 | 74,125,919 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 67 | 427 | 469 | 2,591 | 4,087 | 18,137 | 28,609 | 158,051 | 173,597 | 1,106,357 | 1,215,179 | 10,589,417 | 74,125,919 |
| -1 | -7 | -61 | -67 | -427 | -469 | -2,591 | -4,087 | -18,137 | -28,609 | -158,051 | -173,597 | -1,106,357 | -1,215,179 | -10,589,417 | -74,125,919 |
Here are some more numbers to try:
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