A:
Positive:
1 x 10532005131 x 339742171 x 1483381109 x 966239439 x 2399092201 x 478513379 x 311697739 x 13609
Negative:
-1 x -105320051-31 x -3397421-71 x -1483381-109 x -966239-439 x -239909-2201 x -47851-3379 x -31169-7739 x -13609
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 105,320,051, 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 | 105,320,051 | |
| -1 | -105,320,051 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,320,051.
Example:
1 x 105,320,051 = 105,320,051
and
-1 x -105,320,051 = 105,320,051
Notice both answers equal 105,320,051
With that explanation out of the way, let's continue. Next, we take the number 105,320,051 and divide it by 2:
105,320,051 ÷ 2 = 52,660,025.5
If the quotient is a whole number, then 2 and 52,660,025.5 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 | 105,320,051 | |
| -1 | -105,320,051 |
Now, we try dividing 105,320,051 by 3:
105,320,051 ÷ 3 = 35,106,683.6667
If the quotient is a whole number, then 3 and 35,106,683.6667 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 | 105,320,051 | |
| -1 | -105,320,051 |
Let's try dividing by 4:
105,320,051 ÷ 4 = 26,330,012.75
If the quotient is a whole number, then 4 and 26,330,012.75 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 | 105,320,051 | |
| -1 | 105,320,051 |
If you did it right, you will end up with this table:
| 1 | 31 | 71 | 109 | 439 | 2,201 | 3,379 | 7,739 | 13,609 | 31,169 | 47,851 | 239,909 | 966,239 | 1,483,381 | 3,397,421 | 105,320,051 |
| -1 | -31 | -71 | -109 | -439 | -2,201 | -3,379 | -7,739 | -13,609 | -31,169 | -47,851 | -239,909 | -966,239 | -1,483,381 | -3,397,421 | -105,320,051 |
Here are some more numbers to try:
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