A:
Positive:
1 x 743853117 x 1062647311 x 676230113 x 572194777 x 96604391 x 817421143 x 5201771001 x 74311
Negative:
-1 x -74385311-7 x -10626473-11 x -6762301-13 x -5721947-77 x -966043-91 x -817421-143 x -520177-1001 x -74311
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 74,385,311, 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 | 74,385,311 | |
| -1 | -74,385,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,385,311.
Example:
1 x 74,385,311 = 74,385,311
and
-1 x -74,385,311 = 74,385,311
Notice both answers equal 74,385,311
With that explanation out of the way, let's continue. Next, we take the number 74,385,311 and divide it by 2:
74,385,311 ÷ 2 = 37,192,655.5
If the quotient is a whole number, then 2 and 37,192,655.5 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 | 74,385,311 | |
| -1 | -74,385,311 |
Now, we try dividing 74,385,311 by 3:
74,385,311 ÷ 3 = 24,795,103.6667
If the quotient is a whole number, then 3 and 24,795,103.6667 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 | 74,385,311 | |
| -1 | -74,385,311 |
Let's try dividing by 4:
74,385,311 ÷ 4 = 18,596,327.75
If the quotient is a whole number, then 4 and 18,596,327.75 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 | 74,385,311 | |
| -1 | 74,385,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 74,311 | 520,177 | 817,421 | 966,043 | 5,721,947 | 6,762,301 | 10,626,473 | 74,385,311 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -74,311 | -520,177 | -817,421 | -966,043 | -5,721,947 | -6,762,301 | -10,626,473 | -74,385,311 |
Here are some more numbers to try:
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