A:
Positive:
1 x 15001554113 x 1153965731 x 4839211157 x 955513403 x 3722472041 x 735012371 x 632714867 x 30823
Negative:
-1 x -150015541-13 x -11539657-31 x -4839211-157 x -955513-403 x -372247-2041 x -73501-2371 x -63271-4867 x -30823
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 150,015,541, 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 | 150,015,541 | |
| -1 | -150,015,541 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,015,541.
Example:
1 x 150,015,541 = 150,015,541
and
-1 x -150,015,541 = 150,015,541
Notice both answers equal 150,015,541
With that explanation out of the way, let's continue. Next, we take the number 150,015,541 and divide it by 2:
150,015,541 ÷ 2 = 75,007,770.5
If the quotient is a whole number, then 2 and 75,007,770.5 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 | 150,015,541 | |
| -1 | -150,015,541 |
Now, we try dividing 150,015,541 by 3:
150,015,541 ÷ 3 = 50,005,180.3333
If the quotient is a whole number, then 3 and 50,005,180.3333 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 | 150,015,541 | |
| -1 | -150,015,541 |
Let's try dividing by 4:
150,015,541 ÷ 4 = 37,503,885.25
If the quotient is a whole number, then 4 and 37,503,885.25 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 | 150,015,541 | |
| -1 | 150,015,541 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 157 | 403 | 2,041 | 2,371 | 4,867 | 30,823 | 63,271 | 73,501 | 372,247 | 955,513 | 4,839,211 | 11,539,657 | 150,015,541 |
| -1 | -13 | -31 | -157 | -403 | -2,041 | -2,371 | -4,867 | -30,823 | -63,271 | -73,501 | -372,247 | -955,513 | -4,839,211 | -11,539,657 | -150,015,541 |
Here are some more numbers to try:
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