A:
Positive:
1 x 4512115131 x 145552161 x 739691107 x 421693223 x 2023371891 x 238613317 x 136036527 x 6913
Negative:
-1 x -45121151-31 x -1455521-61 x -739691-107 x -421693-223 x -202337-1891 x -23861-3317 x -13603-6527 x -6913
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 45,121,151, 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 | 45,121,151 | |
| -1 | -45,121,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,121,151.
Example:
1 x 45,121,151 = 45,121,151
and
-1 x -45,121,151 = 45,121,151
Notice both answers equal 45,121,151
With that explanation out of the way, let's continue. Next, we take the number 45,121,151 and divide it by 2:
45,121,151 ÷ 2 = 22,560,575.5
If the quotient is a whole number, then 2 and 22,560,575.5 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 | 45,121,151 | |
| -1 | -45,121,151 |
Now, we try dividing 45,121,151 by 3:
45,121,151 ÷ 3 = 15,040,383.6667
If the quotient is a whole number, then 3 and 15,040,383.6667 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 | 45,121,151 | |
| -1 | -45,121,151 |
Let's try dividing by 4:
45,121,151 ÷ 4 = 11,280,287.75
If the quotient is a whole number, then 4 and 11,280,287.75 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 | 45,121,151 | |
| -1 | 45,121,151 |
If you did it right, you will end up with this table:
| 1 | 31 | 61 | 107 | 223 | 1,891 | 3,317 | 6,527 | 6,913 | 13,603 | 23,861 | 202,337 | 421,693 | 739,691 | 1,455,521 | 45,121,151 |
| -1 | -31 | -61 | -107 | -223 | -1,891 | -3,317 | -6,527 | -6,913 | -13,603 | -23,861 | -202,337 | -421,693 | -739,691 | -1,455,521 | -45,121,151 |
Here are some more numbers to try:
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