A:
Positive:
1 x 1501510455 x 3003020911 x 1365009555 x 2730019641 x 2342453205 x 468494259 x 352557051 x 21295
Negative:
-1 x -150151045-5 x -30030209-11 x -13650095-55 x -2730019-641 x -234245-3205 x -46849-4259 x -35255-7051 x -21295
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 150,151,045, 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 | 150,151,045 | |
| -1 | -150,151,045 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,151,045.
Example:
1 x 150,151,045 = 150,151,045
and
-1 x -150,151,045 = 150,151,045
Notice both answers equal 150,151,045
With that explanation out of the way, let's continue. Next, we take the number 150,151,045 and divide it by 2:
150,151,045 ÷ 2 = 75,075,522.5
If the quotient is a whole number, then 2 and 75,075,522.5 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 | 150,151,045 | |
| -1 | -150,151,045 |
Now, we try dividing 150,151,045 by 3:
150,151,045 ÷ 3 = 50,050,348.3333
If the quotient is a whole number, then 3 and 50,050,348.3333 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 | 150,151,045 | |
| -1 | -150,151,045 |
Let's try dividing by 4:
150,151,045 ÷ 4 = 37,537,761.25
If the quotient is a whole number, then 4 and 37,537,761.25 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 | 150,151,045 | |
| -1 | 150,151,045 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 641 | 3,205 | 4,259 | 7,051 | 21,295 | 35,255 | 46,849 | 234,245 | 2,730,019 | 13,650,095 | 30,030,209 | 150,151,045 |
| -1 | -5 | -11 | -55 | -641 | -3,205 | -4,259 | -7,051 | -21,295 | -35,255 | -46,849 | -234,245 | -2,730,019 | -13,650,095 | -30,030,209 | -150,151,045 |
Here are some more numbers to try:
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