A:
Positive:
1 x 7124221255 x 14248442523 x 3097487525 x 28496885115 x 6194975125 x 5699377575 x 12389952875 x 247799
Negative:
-1 x -712422125-5 x -142484425-23 x -30974875-25 x -28496885-115 x -6194975-125 x -5699377-575 x -1238995-2875 x -247799
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 712,422,125, 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 | 712,422,125 | |
| -1 | -712,422,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,422,125.
Example:
1 x 712,422,125 = 712,422,125
and
-1 x -712,422,125 = 712,422,125
Notice both answers equal 712,422,125
With that explanation out of the way, let's continue. Next, we take the number 712,422,125 and divide it by 2:
712,422,125 ÷ 2 = 356,211,062.5
If the quotient is a whole number, then 2 and 356,211,062.5 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 | 712,422,125 | |
| -1 | -712,422,125 |
Now, we try dividing 712,422,125 by 3:
712,422,125 ÷ 3 = 237,474,041.6667
If the quotient is a whole number, then 3 and 237,474,041.6667 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 | 712,422,125 | |
| -1 | -712,422,125 |
Let's try dividing by 4:
712,422,125 ÷ 4 = 178,105,531.25
If the quotient is a whole number, then 4 and 178,105,531.25 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 | 712,422,125 | |
| -1 | 712,422,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 125 | 575 | 2,875 | 247,799 | 1,238,995 | 5,699,377 | 6,194,975 | 28,496,885 | 30,974,875 | 142,484,425 | 712,422,125 |
| -1 | -5 | -23 | -25 | -115 | -125 | -575 | -2,875 | -247,799 | -1,238,995 | -5,699,377 | -6,194,975 | -28,496,885 | -30,974,875 | -142,484,425 | -712,422,125 |
Here are some more numbers to try:
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