Q: What are the factor combinations of the number 107,704,003?

 A:
Positive:   1 x 10770400311 x 979127337 x 291091953 x 2032151407 x 264629583 x 1847411961 x 549234993 x 21571
Negative: -1 x -107704003-11 x -9791273-37 x -2910919-53 x -2032151-407 x -264629-583 x -184741-1961 x -54923-4993 x -21571


How do I find the factor combinations of the number 107,704,003?

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 107,704,003, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 107,704,003
-1 -107,704,003

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 107,704,003.

Example:
1 x 107,704,003 = 107,704,003
and
-1 x -107,704,003 = 107,704,003
Notice both answers equal 107,704,003

With that explanation out of the way, let's continue. Next, we take the number 107,704,003 and divide it by 2:

107,704,003 ÷ 2 = 53,852,001.5

If the quotient is a whole number, then 2 and 53,852,001.5 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:

1 107,704,003
-1 -107,704,003

Now, we try dividing 107,704,003 by 3:

107,704,003 ÷ 3 = 35,901,334.3333

If the quotient is a whole number, then 3 and 35,901,334.3333 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:

1 107,704,003
-1 -107,704,003

Let's try dividing by 4:

107,704,003 ÷ 4 = 26,926,000.75

If the quotient is a whole number, then 4 and 26,926,000.75 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:

1 107,704,003
-1 107,704,003
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11137534075831,9614,99321,57154,923184,741264,6292,032,1512,910,9199,791,273107,704,003
-1-11-37-53-407-583-1,961-4,993-21,571-54,923-184,741-264,629-2,032,151-2,910,919-9,791,273-107,704,003

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