A:
Positive:
1 x 1053544455 x 210708897 x 1505063535 x 3010127233 x 4521651165 x 904331631 x 645958155 x 12919
Negative:
-1 x -105354445-5 x -21070889-7 x -15050635-35 x -3010127-233 x -452165-1165 x -90433-1631 x -64595-8155 x -12919
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 105,354,445, 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 | 105,354,445 | |
| -1 | -105,354,445 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,354,445.
Example:
1 x 105,354,445 = 105,354,445
and
-1 x -105,354,445 = 105,354,445
Notice both answers equal 105,354,445
With that explanation out of the way, let's continue. Next, we take the number 105,354,445 and divide it by 2:
105,354,445 ÷ 2 = 52,677,222.5
If the quotient is a whole number, then 2 and 52,677,222.5 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 | 105,354,445 | |
| -1 | -105,354,445 |
Now, we try dividing 105,354,445 by 3:
105,354,445 ÷ 3 = 35,118,148.3333
If the quotient is a whole number, then 3 and 35,118,148.3333 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 | 105,354,445 | |
| -1 | -105,354,445 |
Let's try dividing by 4:
105,354,445 ÷ 4 = 26,338,611.25
If the quotient is a whole number, then 4 and 26,338,611.25 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 | 105,354,445 | |
| -1 | 105,354,445 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 233 | 1,165 | 1,631 | 8,155 | 12,919 | 64,595 | 90,433 | 452,165 | 3,010,127 | 15,050,635 | 21,070,889 | 105,354,445 |
| -1 | -5 | -7 | -35 | -233 | -1,165 | -1,631 | -8,155 | -12,919 | -64,595 | -90,433 | -452,165 | -3,010,127 | -15,050,635 | -21,070,889 | -105,354,445 |
Here are some more numbers to try:
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