A:
Positive:
1 x 6016146255 x 12032292525 x 2406458579 x 7615375125 x 4812917395 x 15230751975 x 3046159875 x 60923
Negative:
-1 x -601614625-5 x -120322925-25 x -24064585-79 x -7615375-125 x -4812917-395 x -1523075-1975 x -304615-9875 x -60923
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 601,614,625, 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 | 601,614,625 | |
| -1 | -601,614,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 601,614,625.
Example:
1 x 601,614,625 = 601,614,625
and
-1 x -601,614,625 = 601,614,625
Notice both answers equal 601,614,625
With that explanation out of the way, let's continue. Next, we take the number 601,614,625 and divide it by 2:
601,614,625 ÷ 2 = 300,807,312.5
If the quotient is a whole number, then 2 and 300,807,312.5 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 | 601,614,625 | |
| -1 | -601,614,625 |
Now, we try dividing 601,614,625 by 3:
601,614,625 ÷ 3 = 200,538,208.3333
If the quotient is a whole number, then 3 and 200,538,208.3333 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 | 601,614,625 | |
| -1 | -601,614,625 |
Let's try dividing by 4:
601,614,625 ÷ 4 = 150,403,656.25
If the quotient is a whole number, then 4 and 150,403,656.25 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 | 601,614,625 | |
| -1 | 601,614,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 79 | 125 | 395 | 1,975 | 9,875 | 60,923 | 304,615 | 1,523,075 | 4,812,917 | 7,615,375 | 24,064,585 | 120,322,925 | 601,614,625 |
| -1 | -5 | -25 | -79 | -125 | -395 | -1,975 | -9,875 | -60,923 | -304,615 | -1,523,075 | -4,812,917 | -7,615,375 | -24,064,585 | -120,322,925 | -601,614,625 |
Here are some more numbers to try:
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