A:
Positive:
1 x 1510040155 x 3020080329 x 5207035145 x 1041407163 x 926405815 x 1852814727 x 319456389 x 23635
Negative:
-1 x -151004015-5 x -30200803-29 x -5207035-145 x -1041407-163 x -926405-815 x -185281-4727 x -31945-6389 x -23635
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 151,004,015, 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 | 151,004,015 | |
| -1 | -151,004,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,004,015.
Example:
1 x 151,004,015 = 151,004,015
and
-1 x -151,004,015 = 151,004,015
Notice both answers equal 151,004,015
With that explanation out of the way, let's continue. Next, we take the number 151,004,015 and divide it by 2:
151,004,015 ÷ 2 = 75,502,007.5
If the quotient is a whole number, then 2 and 75,502,007.5 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 | 151,004,015 | |
| -1 | -151,004,015 |
Now, we try dividing 151,004,015 by 3:
151,004,015 ÷ 3 = 50,334,671.6667
If the quotient is a whole number, then 3 and 50,334,671.6667 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 | 151,004,015 | |
| -1 | -151,004,015 |
Let's try dividing by 4:
151,004,015 ÷ 4 = 37,751,003.75
If the quotient is a whole number, then 4 and 37,751,003.75 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 | 151,004,015 | |
| -1 | 151,004,015 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 163 | 815 | 4,727 | 6,389 | 23,635 | 31,945 | 185,281 | 926,405 | 1,041,407 | 5,207,035 | 30,200,803 | 151,004,015 |
| -1 | -5 | -29 | -145 | -163 | -815 | -4,727 | -6,389 | -23,635 | -31,945 | -185,281 | -926,405 | -1,041,407 | -5,207,035 | -30,200,803 | -151,004,015 |
Here are some more numbers to try:
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