A:
Positive:
1 x 7121234455 x 14242468911 x 6473849555 x 12947699191 x 3728395955 x 7456792101 x 33894510505 x 67789
Negative:
-1 x -712123445-5 x -142424689-11 x -64738495-55 x -12947699-191 x -3728395-955 x -745679-2101 x -338945-10505 x -67789
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 712,123,445, 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 | 712,123,445 | |
| -1 | -712,123,445 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,123,445.
Example:
1 x 712,123,445 = 712,123,445
and
-1 x -712,123,445 = 712,123,445
Notice both answers equal 712,123,445
With that explanation out of the way, let's continue. Next, we take the number 712,123,445 and divide it by 2:
712,123,445 ÷ 2 = 356,061,722.5
If the quotient is a whole number, then 2 and 356,061,722.5 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 | 712,123,445 | |
| -1 | -712,123,445 |
Now, we try dividing 712,123,445 by 3:
712,123,445 ÷ 3 = 237,374,481.6667
If the quotient is a whole number, then 3 and 237,374,481.6667 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 | 712,123,445 | |
| -1 | -712,123,445 |
Let's try dividing by 4:
712,123,445 ÷ 4 = 178,030,861.25
If the quotient is a whole number, then 4 and 178,030,861.25 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 | 712,123,445 | |
| -1 | 712,123,445 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 191 | 955 | 2,101 | 10,505 | 67,789 | 338,945 | 745,679 | 3,728,395 | 12,947,699 | 64,738,495 | 142,424,689 | 712,123,445 |
| -1 | -5 | -11 | -55 | -191 | -955 | -2,101 | -10,505 | -67,789 | -338,945 | -745,679 | -3,728,395 | -12,947,699 | -64,738,495 | -142,424,689 | -712,123,445 |
Here are some more numbers to try:
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