A:
Positive:
1 x 301521017 x 430744317 x 177365349 x 615349119 x 253379343 x 87907833 x 361975171 x 5831
Negative:
-1 x -30152101-7 x -4307443-17 x -1773653-49 x -615349-119 x -253379-343 x -87907-833 x -36197-5171 x -5831
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 30,152,101, 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 | 30,152,101 | |
| -1 | -30,152,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,152,101.
Example:
1 x 30,152,101 = 30,152,101
and
-1 x -30,152,101 = 30,152,101
Notice both answers equal 30,152,101
With that explanation out of the way, let's continue. Next, we take the number 30,152,101 and divide it by 2:
30,152,101 ÷ 2 = 15,076,050.5
If the quotient is a whole number, then 2 and 15,076,050.5 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 | 30,152,101 | |
| -1 | -30,152,101 |
Now, we try dividing 30,152,101 by 3:
30,152,101 ÷ 3 = 10,050,700.3333
If the quotient is a whole number, then 3 and 10,050,700.3333 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 | 30,152,101 | |
| -1 | -30,152,101 |
Let's try dividing by 4:
30,152,101 ÷ 4 = 7,538,025.25
If the quotient is a whole number, then 4 and 7,538,025.25 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 | 30,152,101 | |
| -1 | 30,152,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 119 | 343 | 833 | 5,171 | 5,831 | 36,197 | 87,907 | 253,379 | 615,349 | 1,773,653 | 4,307,443 | 30,152,101 |
| -1 | -7 | -17 | -49 | -119 | -343 | -833 | -5,171 | -5,831 | -36,197 | -87,907 | -253,379 | -615,349 | -1,773,653 | -4,307,443 | -30,152,101 |
Here are some more numbers to try:
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